Answer:
A =5220 yd^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w where l is the length and w is the width
A = 87 * 60
A =5220 yd^2
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
slope=2/2 or 1
Step-by-step explanation:
From (-2,0) rise up by 2 and then run to the right and land on 2. So the slope will be 2/2. To simplify it's 1.
Remember this Rise goes⬆/Run to the right➡ or the other way around depends on how the graph is but you get my drift, right? ☺
Is square root of 49/5 a rational number?
suppose the functions u and w are defined as follows u(x)=x+9 w(x)=the square root of x+8 find the following (wou)(8)= (uow)(8)=
Answer:
5 and 13
Step-by-step explanation:
To evaluate (w ○ u)(8) , evaluate u(8) then substitute the value obtained into w(x) , that is
u(8) = = 8 + 9 = 17 , then
w(17) = [tex]\sqrt{17+8}[/tex] = [tex]\sqrt{25}[/tex] = 5
---------------------------------------
To evaluate (u ○ w )(8) , evaluate w(8) then substitute the value obtained into u(x) , that is
w(8) = [tex]\sqrt{8+8}[/tex] = [tex]\sqrt{16}[/tex] = 4 , then
u(4) = 4 + 9 = 13
Answer:
Step-by-step explanation:
[tex]u(x)=x+9\\\\w(x)=\sqrt{x+8} \\\\(wou)(x)=u(w(x))=u(\sqrt{x+8} )=\sqrt{x+8}+9\\(wou)(8)= \sqrt{8+8}+9=4+9=13\\\\\\(uow)(x)=w(u(x))=w(x+9)=\sqrt{x+9+8}=\sqrt{x+17}\\(wou)(8)= \sqrt{8+17}=\sqrt{25}=5\\\\[/tex]
plzzzzzzzz HELP ASPPPP
Select the correct answer.
This graph represents the function f(x) =cos(4x).
Answer:
π/2
Step-by-step explanation:
steps are in the picture above.
Note:if you need to know any question please let me know.
Which expression is equivalent to 10° ?
o 10 - 10 - 10 - 10 - 10 - 10
O 6.6.6.6.6.6.6.6.6.6
0 10. 10. 10. 10.10
o I don't know.
Hi
Answer:
The first one: 10*10*10*10*10*10
Step-by-step explanation:
This is because the power of a number is how many times you multiply it by itself (example: [tex]2^{4}[/tex] = 2*2*2*2 because the power is 4 which means you multiply the base by itself 4 times, in this case the base is 2)
Answer:
A. 10 · 10 · 10 · 10 · 10 · 10
Step-by-step explanation:
[tex]10^6[/tex] is just 10 times itself, 6 times.
Find the value of x (give in steps)
Answer:
[tex]sum \: of \: exterior \: angle \: for \: a \: quadrilateral= 360 \\ x + 5x - 5 + 4x + 20 + 4x - 5 = 360 \\ x \: terms \: togather \\ x + 5x + 4x + 4x - 5 - 5 + 20 = 360 \\ 14x + 10 = 360 \\ 14x = 350 \\ x = 25 \\ thank \: you[/tex]
Sasha places an online order. In addition to the price of the item she orders, she pays 5% tax and a flat shipping fee of $15. The total cost of her order is $141. What is the price of the item she orders?
Answer:
$120Step-by-step explanation:
Let the price is x.
Set the equation and solve for x:
(x + 5%) + 15 = 1411.05x + 15 = 1411.05x = 126x = 126/1.05x = 120Answer:
$119.7
Step-by-step explanation:
Shipping is typically taken after tax so we can subtract shipping and find the tax.
141 - 15 = 126
126 * 0.05 = 6.3
Now we can subtract to find what she spent on items.
126 - 6.3 = 119.7
Best of Luck!
Hayden has 6 rolls of dimes there are 50 dimes in each row how many dimes does he have all together
Answer:
300 dimes in total
Step-by-step explanation:
He has 6 rows with 50 in each. 6 times 50 = 300 dimes
Answer:
300
Step-by-step explanation:
1 roll = 50 dimes
6 roll = x Cross multiply
1*x = 50 * 6
x = 300 dimes
He has 300 dimes altogether.
5,926 in scientific notation
How far below the surface of the water is the top of a submerged mountain if the ocean floor depth is 12,500 feet and the mountain has a height of 10,190 feet?
Answer:
12500 - 10190 = 2310 ft.
Step-by-step explanation:
A cell phone company $500 for a new phone and $60 for a monthly plan. If C(t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
A. R: (0,500)
B. R: (60,560)
C. R: R
C: R: (-infinity, infinity)
HOW DO I SOLVE THIS?!
The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: [tex]R: (500, \infty)[/tex]
Given that:
[tex]Phone = \$500[/tex]
[tex]Monthly\ Plan = \$60[/tex]
Let the number of months be t. So, the function C(t) is calculated as follows:
[tex]C(t) = Phone + Monthly\ Plan \times t[/tex]
[tex]C(t) = 500 + 60 \times t[/tex]
[tex]C(t) = 500 + 60t[/tex]
The range is calculated as follows:
The smallest possible value of t is 0 i.e. when no monthly subscription is done.
So, we have:
[tex]C(0) = 500 + 60\times 0= 500 + 0 = 500[/tex]
And the highest is [tex]\infty[/tex] i.e. for a large value of t
So, we have:
[tex]C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty[/tex]
Hence, the range of the function is:
[tex]R: (500, \infty)[/tex]
Read more about range of functions at:
https://brainly.com/question/13824428
Complete the slope-intercept form of this line.
y=-4x +
Answer:
It is y = -4x + 9
Step-by-step explanation:
General equation of a line:
[tex]y = mx + c[/tex]
For a y-intercept, c :
consider point (2, 1):
y is 1, x is 2 and m is -4
[tex]y = mx + c \\ 1 = (2 \times - 4) + c \\ 1 = - 8 + c \\ c = 1 + 8 \\ c = 9[/tex]
therefore, equation is:
[tex]y = - 4x + 9[/tex]
The complete form of the equation is y = - 4x + 9
The slope intercept form of the line is given as:
y = - 4x + c
Where c = intercept , we need to calculate, c
Take any given value of y and x and substitute into the equation, the solve for c
Take x = 1, y = 5
5 = - 4(1) + c
5 = - 4 + c
Add 4 to both sides
5 + 4 = - 4 + c + 4
9 = c
Hence, the complete form of the equation is y = - 4x + 9
Learn more : https://brainly.com/question/20976827?referrer=searchResults
A pole vault stick is leaning against a wall, touching the wall 16 ft above the ground. The bottom end of the stick is 12 ft from the wall. How many feet long is the stick?
Answer:
20ft
Step-by-step explanation:
Height from the ground=16ft
distance from wall= 12ft
length of the stick=?
According to the Pythagoras theorem the square of the hypotenuse is equal to the sum of the squares of the opposite sides.
Here the stick is the hypotenuse.
[tex]12^{2} +16^{2} = x^{2}[/tex]
144+ 256= [tex]x^{2}[/tex]
[tex]x^{2}[/tex]= 400
[tex]x=\sqrt{400} \\x= 20[/tex]
Hence the length of the stick is 20ft.
Hope this helps.
A salesman's salary is $18,500 per year. In addition, the salesman earns 5% commission on the year's sales. Last year the salesman earned $25,400. How much was sold that year?
Answer:
138000
Step-by-step explanation:
25,400 - 18,500
6900
5% = 6900
100% = ?
cross multiplication
5x6900 / 100
yearly sale = 138000
Which ratio expresses the scale used to create this drawing? The post office has dimensions of 24 meters by 60 meters
Answer: 2:5
Step-by-step explanation:
To find the ratio, we need to find the greatest common factor and divide both of the dimensions by the greatest common factor. In this case 12 is the greatest common factor.
24/12=2
60/12=5
Therefore, the ration that expresses the scale used to create this dimension is 2:5.
Solve the system of equations.
y=3x + 24
y=9x
Answer:
x = 4
y = 36
Step-by-step explanation:
use substitution
y=3x+24
y=9x
therefore . 9x=3x+24
x = 4
sub 4 in for x and solve for y
y = 9(4) = 36
does this table represent a function
Answer:
yes
Step-by-step explanation:
Each input has one corresponding output.
solve x+5y=11 and -x+4y=7 using elimination
Answer: (1, 2)
Concept:
There are three general ways to solve systems of equations:
EliminationSubstitutionGraphingSince the question has specific requirements, we are going to use elimination
Solve:
Given expressions
x + 5y = 11
-x + 4y = 7
Add both equations together to elimination [x] variable
(x + 5y) + (-x + 4y) = 11 + 7
x - x + 5y + 4y = 18
9y = 18
Divide 9 on both sides
9y / 9 = 18 / 9
[tex]\boxed{y=2}[/tex]
Find the x value
x + 5y = 11 ⇔ Given equation
x + 5(2) = 11 ⇔ Substitute values of y
x + 10 = 11 ⇔ Simplify by multiplication
x + 10 - 10 = 11 - 10 ⇔ Subtract 10 on both sides
[tex]\boxed{x=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Stack the two equations and add them together as if they were multi-digit numbers. That will eliminate the x and then you can solve for the y. Knowing y you can then go back and solve for x.
Step-by-step explanation:
x + 5y = 11
-x + 4y = 7
---------------- "Add" the equations above to get the equation below.
9y = 18
Now you can divide both sides by 9 to see that y is equal to 2.
Now that you know that y = 2 you can substitute y in either of the two original equations. I'll use the first.
x + 5(2)= 11
x + 10 = 11
x = 1
PLEASE HELP
3/5x+22=28
Show your work in details if you can, I have a hard time understanding this.
Step-by-step explanation:
3/5x+22=28
3/5x=28-22
3/5x=6
3x=6*5
3x=30
X=30/3
X=10
-8b+x evaluate the expression 1B equals five and X equals -7
please help
Answer:
-47
Step-by-step explanation:
Can someone plz solve the math problem i attached as a screenshot. Thx
Answer:
[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]
SOMEONE HELP ME WITH THIS QUESTION PLEASE!!!!
Answer:
E(-2, -1.5)Step-by-step explanation:
Coordinates of the points C and D:
C(1, 6), D(-3, -4)The point E has coordinates of (x, y).
The point E is at 3/4 of CD from C and 1/4 of CD from the point D.
Find coordinates of E:
x = -3 + 1/4(1 + 3) = -3 + 1 = -2y = -4 + 1/4(6 + 4) = -4 + 2.5 = -1.5One bolt of cloth will make shirts for 47 people. How many bolts are needed for 376 people?
Answer:
8
Step-by-step explanation:
the relationship of one "unit" (bolt) of cloth to 47 people makes this number (47 people) also an unit.
to answer the question we need to find out, how many units fit into the target.
how do we do that ? by division.
when we divide a/b, then we are actually asking, how many times does b fit into a.
so, how many bolts are needed for 376 people ?
well, how often does 47 fit into 376 ? how often can we build groups of 47 people out of the 376 ?
the answer
376 / 47 = 8
so, 8 bolts are needed.
Answer:
1 bolts = 47 people
so, 47+47+47+47+47+47+47+47= 376 people
The answer is 8 bolts
Help Please!!!
Find lim h → 0 f(x+h)-f(x)/h for the given function and value of x.
f(x) = -4x -1, x = 5
Step-by-step explanation:
[tex]\displaystyle \lim_{h \to 0} \dfrac{[-4(x + h) - 1] - (-4x - 1)}{h}[/tex]
[tex]\displaystyle \:\:\:\:\:\:\:\:\:=\lim_{h \to 0}\dfrac{-4h}{h}[/tex]
[tex]\:\:\:\:\:\:\:\:\:=-4[/tex]
Which one of the following is an example of algebraic expression?
a. 22+7÷4
b. 12=7−1
c. x,y,z
d. x2+y−2
Answer:
Option D. x²+y-2
Step-by-step explanation:
Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.
Answer:
The correct option is choice D. x^2+y−2
Algebraic expression means that equation needs to have one variable, meaning any alphabet and one kind of operation. Operations are + - / and*
If you look at your answer choices, option d is the only that has an expression as well as the operation, so both things in one equation.
What property is show in this problem? 11 x (4+5) = 11 x 4 + 11 x 5
is 1.0227 a rational number? explain
Answer:
Yes.
Step-by-step explanation:
1.0227 is a rational number. Although it is a decimal, it is terminating meaning that it ends. This is what makes it rational.
Step-by-step explanation:
Yes as it can be written in p/q form means 10227/10000 which is rational
find the y-intercept and x-intercept of the line. 2x+3y= -14
Answer:
X-intercept: (-7, 0)
Y-intercept: (0, -14/4)
Step-by-step explanation:
To find the intercepts plugin 0 for one variable and solve
2x+3(0)=-14
x=-7
2(0)+3y=-14
y=-14/3
How do you add 1.7 plus 2 and 2/3
Answer:
4.37 (repeated)
Step-by-step explanation:
Answer:
[tex]\frac{131}{30}[/tex]
Step-by-step explanation:
1. Convert the decimal into a fraction by writing our number above a fraction line without the decimal sign.
2. Count the decimal places. Below the fraction lines write the multiple of 10 with that many zeros so that would be [tex]\frac{17}{10}[/tex]
3. Now write all numerators above the lcd (least common denominator) 30. So that would be [tex]\frac{51 + 60 + 20}{30}[/tex]
4. Calculate the sum of the positive numbers. The result is [tex]\frac{131}{30}[/tex]
5. Answer is [tex]\frac{131}{30}[/tex]
You have 2 cups of ketchup. You need 2 Tbspoons to make barbecue sauce. How many servings can you make?
Answer:
1 cup equals 16 tablespoons you have 2 cups so that is 32 tablespoons so you can make 16 servings. I think :)
hope this helps