Answer:
22.36 feet
Step-by-step explanation:
This situation forms a right triangle, where the wire is the hypotenuse
Use the pythagorean theorem to find the hypotenuse/wire length:
a² + b² = c²
20² + 12² = c²
400 + 144 = c²
544 = c²
22.36 = c
So, the wire is 22.36 feet long
(4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y) i need help solving
Answer:
[tex]\huge \boxed{11x^2 y^3-4xy^2 }[/tex]
Step-by-step explanation:
[tex](4x^2y^3 + 2xy^2 - 2y) - (-7x^2 y^3 + 6xy^2 -2y)[/tex]
Distribute the negative sign to the terms in the bracket.
[tex](4x^2y^3 + 2xy^2 - 2y) +7x^2 y^3 - 6xy^2 +2y[/tex]
Grouping like terms.
[tex](4x^2y^3 +7x^2 y^3) + (2xy^2 - 6xy^2 ) +( - 2y +2y)[/tex]
Combining like terms.
[tex](11x^2 y^3) + (-4xy^2 ) +(0)[/tex]
[tex]11x^2 y^3-4xy^2[/tex]
What does this symbol ^ mean?
Also called the circumflex, the caret is the symbol ( ^ ) above the 6 key on a standard qwerty keyboard.
In mathematics, the caret represents an exponent, such as a square, cube, or another exponential power.
Example attached below
The chart below shows the lowest elevations for four states. State Arkansas- 55 California- -282 Louisiana- -8 Texas- -2 Lowest Elevation (feet above sea level) Write an expression to model the difference in elevation between the highest and the lowest elevation listed in the table above. A. 55 - (-282) B. 55 - 282 C. -282 - -2 D. -282 - (-55)
-3(8n - 5) - 2n = 8n - 21
Answer:
Step-by-step explanation:
First you do the parentheses so the -3 x 8n= -24 and -3 x -5= 15
so it will look like this. -24n+15-2n=8n-21
Now combine like terms the -24n-2n.
-26n+15=8n-21 now subtract 8n now it will look like this
-34n+15=-21 now -15 from -21
-34n=-36
now if you want n by its self divide -34 and -36
which number sentence shows one way to find the sum of 4 and 5
a. 4+5+5= 14
b. 4+4+5= 13
c. 4+4+4= 12
e. 4+4+1= 9
Answer: 4+4+1=9(e)
Step-by-step explanation: because in 4+4+1 .... the 4+1 at the end equals up to 5 so therefore the equation is basically 4+5=9 .
An office supply company ordered 24 cartons of specialty paper. The regular price for a carton of specialty paper is $6.88. They received a discount of $1.75 off each carton. About how much money will the office supply company need to pay for the paper? Which of the expressions gives a reasonable estimate of the answer?
Answer:
$123.12Step-by-step explanation:
Given that the regular price for the specialty paper is
$6.88 per carton
and the company receives a discount of $1.75 per carton
this means that the company will pay $6.88-$1.75 = $5.13 per carton
To calculate the cost of the supply for 24 cartons we have
24*5.13= $123.12
the cost of the supply is $123.12
alternatively we can also calculate the percentage discount as
Actual cost of 24 cartons= 24*6.88= $165.12
Discount= $6.88-$1.75 = $5.13 per carton
%discount= 1.75/6.88= 0.2543
= 25.43%
The price after discount is
=$165.12*(1-0.2543)
=$165.12*0.7456
= $123.12
Use the number line below, where RS = 9y +5, ST = 5y + 6, and RT = 123.
a. What is the value of y?
b. Find RS and ST.
Answer:
[tex]y=8[/tex]
RS: 77
ST: 46
Step-by-step explanation:
We know that RS and ST together make the line RT. This means the sum of their lengths will be equal to RT.
Since RT is 123, we can create the equation [tex]9y+5+5y+6=123[/tex].
Combining like terms gets us [tex]14y+11=123[/tex]
We can now solve for y by isolating the variable on one side of the equation.
[tex]14y + 11 - 11 = 123-11\\\\14y=112\\\\14y\div14 = 112\div14\\\\y=8[/tex]
Now we know the value of y. We can now substitute this into the expressions for RS and ST to find their values.
RS = [tex]9y+5\\\\(9\cdot8)+5\\\\72+5\\\\77[/tex]
ST = [tex]5y+6\\\\(5\cdot8)+6\\\\40+6\\\\46[/tex]
We can confirm this is correct because [tex]46+77=123[/tex].
Hope this helped!
Simplify: 8(20-( (9-5))^2*
Answer:
= 32
Step-by-step explanation:
= 8 [ 20 - { (9-5) }² ]
= 8 [ 20 - { (4) }² ]
= 8 [ 20 - 16 ]
= 8 [ 4 ]
= 32
note:
not sure if your parentheses are in correct position.
Answer:
[tex]\Huge \boxed{32}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]8(20-(9-5)^2)[/tex]
Evaluating according to PEMDAS:
[tex]\Rightarrow \ \ 8(20-( 4)^2)[/tex]
[tex]\Rightarrow \ \ 8(20-16)[/tex]
[tex]\Rightarrow \ \ 8 \cdot (4)[/tex]
[tex]\Rightarrow \ \ 32[/tex]
[tex]\rule[225]{225}{2}[/tex]
What is 36 ÷ ( 1 - |2-7| )?
Answer:
36 / (1 - |2 - 7|) = -9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
Factor out the GCF: 35n + 28
Answer:
Hey there!
The GCF of these terms is 7.
Thus, our answer is 7(5n+4).
Let me know if this helps :)
Factor by identifying a common factor in each term. help
g) 6xy2 = (3x) (?)
h) 25a3b2 = (5a2b2) (?)
i) 6x + 6y + 6p
Answer:
6xy^2=3x(2y²) common factor 3x
25a³b²=5a²b²(5a)
6x+6y+6p = 6(x+y+p)
There are 72 students in the class and 792 apples. If the apples are divided equally among the
students, how many does each student get? *
Answer:
each will get 11 Apple's
Step-by-step explanation:
divide it by 792 ÷72
11.
Answer:
11 apples per student
Step-by-step explanation:
it is a simple division task and you can apply two methods.
Method one
[tex]\frac{792 apples}{72 students}[/tex] =11 Apples per Student
Method two
if 11 students shares 792 apples
1 students gets __x__ apples.
cross multiply
x = [tex]\frac{(792 apples * 1 students)}{11 students}[/tex] = 11 Apples
Tell whether -3.12345... is greater than, less than or equal to the
negative square root of 7.
Answer: it’s greater than the negative square root of 7
Step-by-step explanation:
The negative square root of 7 is -2.64575131106 hope this helps
NEED HELP ASAP
given m||n find the value of x
Answer: x= 17°
Step-by-step explanation:
The two measures have to add up to 180 degrees.
(7x -1) + (5x -23) = 180 combine like terms on the left side
12x - 24 = 180 add 24 to both sides
+24 +24
12x = 204 Divide both sides by 12
x = 17
Subtract. Your answer should be a polynomial in standard form. (-7d2 – 5d f3 – 3f3) - (8d+ 4d f3 +253)
Answer:
-9df^3 - 3f^3 - 7d^2 - 8d - 15625
Step-by-step explanation:
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Radius r Arc Length s 19 feet 7 feet
Answer:
The radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
Step-by-step explanation:
The radian measure of the central angle θ of a circle of radius r that intercepts an arc of length s can be calculated from the formula given below
s =rθ
where s is the length of arc
r is radius of the circle
and θ is the central angle in rad (radian)
From s = rθ, Then
θ = s / r
From the question,
Radius r = 19 feet
and Arc length s = 7 feet
Hence,
θ = s / r becomes
θ = 7 / 19
∴ θ [tex]= \frac{7}{19} rad[/tex]
This means the radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
4639 nearest thousand please answer fast
I don't know but I'll tell you as soon as I find out
Answer: 5000
Step-by-step explanation:
Your hourly salary increased from $11 to $23. What is the percent increase in your
salary?
Answer:
109.09090909% increase
Step-by-step explanation:
Take the new amount and subtract the original amount
23-11 = 12
Divide by the original amount
12/11
1.09090909
Change to percent form
109.09090909%
Which expression is an equivalent expression of 12x + 10 + 4y?
Is there an answer key?
Answer:
2(6x+5+2y)
Step-by-step explanation:
is 5 a natural whole integer or rational or irrational
Answer:
Rational number
Step-by-step explanation:
Answer:
Rational number
Step-by-step explanation:
[tex]4\sqrt{3} * 2\sqrt{3}[/tex]
Answer: 24
Step-by-step explanation:
Answer:
12.89
Step-by-step explanation:
use a calculator
Please answer ASAP !!
Which statement shows 2, 4,-1, and 0 in order from least to greatest?
A 2<-4<-1 <0
B. 4<2<1<0
C. -4 <-1<0 < 2
D. 2 <0 <-1<4
Answer:
C. -4<-1<0<2
Step-by-step explanation:
Since the bigger the negative, the less it is, and since negatives are less than positives, and 0 is more than a positive and less than a negative, the answer is C.
Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.
Answer:
DP=9
Step-by-step explanation:
DS=4
DP=5
DP=DS+DP=4+5=9
DP=9
The topic is critical path 12th grade and the subject is math of industry and government. Pls help and list the paths too ‼️‼️
Answer:
see below
Step-by-step explanation:
The difference between start and end times is the duration in each case.
The earliest start time is the latest of the earliest finish times of all predecessor tasks. These are computed working left to right.
The latest finish time is the earliest of the latest start times of all successor tasks. These are computed working right to left.
Where earliest and latest times are the same, the task is on the critical path. (It has no slack time.)
The above computations have been built into the attached spreadsheet. Here, predecessors and successors are handled manually. In appropriate scheduling software, they would be handled automatically by the specification of the task relationships.
cual es el resultado de esta operacion urge 27x - 6x
Answer:
21x
Step-by-step explanation:
No más debes de restar 6 de 27 y obtienes 21 y agregas el x
Consider the following.
Answer:
(-8, 7); x + y = 13 → y= -x + 13
parallel lines have the same slope. slope is -1
y = -x + b
7 = -(-8) + b
7 = 8 + b
b = -1
(a) y = -x - 1
perpendicular lines have opposite slopes. slope is 1/2.
y = -1/2x + b
7 = -1/2(-8) + b
7 = 4 + b
b = 3
(b) y = -1/2x + 3
Draw the graphs of 2x+y=6 and 2x-y +2=0.shade the region bounded by these 2 lines and x-axis
Answer: see graph
Step-by-step explanation:
Rewrite each equation in y = mx + b. Then plot the y-intercept (b) and count rise over run (m) to plot the next point. Draw a line through the points.
2x + y = 6 --> y = -2x + 6 --> m = -2, b = 6
2x - y + 2= 0 --> y = -2x +2 --> m = -2, b = 2
Shade the area between the intersection of those two lines and the x-axis.
∠A and \angle B∠B are vertical angles. If m\angle A=(3x-30)^{\circ}∠A=(3x−30)
∘
and m\angle B=(2x-9)^{\circ}∠B=(2x−9)
∘
, then find the value of x.
Answer:
[tex]x=21\textdegree[/tex]
Step-by-step explanation:
So we know that:
[tex]\angle A=3x-30 \text{ and}\\\angle B=2x-9[/tex]
And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:
[tex]\angle A=\angle B\\(3x-30)=(2x-9)[/tex]
Now, solve for x. Add 30 to both sides. The left side cancels:
[tex](3x-30)+30=(2x-9)+30\\3x=2x+21[/tex]
Now, subtract 2x from both sides. The right cancels:
[tex](3x)-2x=(2x+21)-2x\\x=21[/tex]
Thus, the value of x is 21.
The function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in square feet, of the billboard, x, and including a standard layout fee. The mathematical range for the function is the set of real numbers. Which statement describes have a reasonable range differs from the mathematical range A The reasonable range contains only integers. B The reasonable range contains only positive rational numbers. C The reasonable range contains only integers greater than 75. D The reasonable range contains only positive rational numbers greater than 75.
Answer:
D The reasonable range contains only positive rational numbers greater than 75.
Step-by-step explanation:
Given that the function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in square feet, of the billboard, x, and including a standard layout fee.
The f(x) is the range of the function. If the mathematical range for the function is the set of real numbers, the reasonable range will be set of positive real numbers which will therefore greater than 75.
Option D is the correct answer which says;
D The reasonable range contains only positive rational numbers greater than 75.
Answer:
d
Step-by-step explanation:
All of the x values or inputs are called what?
Answer:
its called a Domain
Step-by-step explanation:
All of the x-values or inputs are called Domain.
"x-values" is the word used in mathematics and statistics to describe the input values or independent variables in a function or equation.
These x-values stand for a function's inputs, arguments, or the points at which a mathematical connection is being assessed.
The outputs or dependent variables of a function are represented by the appropriate y-values, which are often paired with the associated x-values. The link between the independent and dependent variables can be seen on a graph by plotting the x-values and y-values together as data points.
For example, in the equation y = 2x + 3, "x" represents the x-values or inputs, while "y" represents the corresponding y-values or outputs. By substituting different values for x, you can calculate the corresponding y-values and observe how changes in the x-values affect the relationship described by the equation.
Hence the answer is Domain.
Learn more about Domain click;
https://brainly.com/question/30133157
#SPJ6