Answer: 30 feet
Explanation:
Draw a vertical number line.
Mark +20 or simply 20 which is the starting position at the diving board. The value 0 on the number line is the water's surface. The position -10 is the portion 10 feet at the bottom of the pool.
Going from 20 to 0 is 20 feet. Then going from 0 to -10 is another 10 feet.
Overall, you travel 20+10 = 30 feet.
1-Find the missing number:
8(7+23)=8(7)+8(?)
2- ?(4-2)=3(4)-3(2)
3- 6(x + 5)
4- -3(4 +x)
————————————————
Use distributive property to rewrite the expression
5- -8(7x - 2)
6- (-9+8x)10
7- 9(-2x+5y - 3)
8- -6(-x-4y+7)
———————————————-
9- expand the expression
-1/3 (2w-3x +3)
10- expand the expression
Y(-1.2w. + 3)
Reagan just received a new soccer ball that she ordered in the mail. The spherical soccer ball
arrived in a box shaped like a rectangular prism, and the remaining space inside the box was
filled by packing material. The box is 14 inches long, 11 inches wide, and 10 inches tall. If the
soccer ball has a diameter of 8.7 inches, what was the volume of space in the box filled by
packing material?
Answer:
1540 square in-17.4π in
Step-by-step explanation:
The box's area is 1540 square inches, and the volume of a sphere is 4πr. So we do 4*π*r, which is 4π*4.35, and simplify it to 17.4π. Then we subtract that from the 1540 square in to get the final answer of 1540-17.4π
Reference: π is approximately 3.1415926
The theater group sold adult and student tickets for the play. They sold a total of 560 tickets. Each adult ticket was $8 and each student ticket was $3.50. The group took in a total of $3166. How many of each type of ticket was sold for the play?
Answer:
268 adult and 292 student tickets sold
Step-by-step explanation:
a = number adult tickets sold
s = number student tickets sold
a + s = 560
8a + 3.50s = 3166
a = 268 adult tickets
s = 292 student tickets
Let f(x) = x + 4 and g(x) = x – 3. If g is a vertical translation of f, how many units and in what direction is f translated to form g?
If g is a vertical translation of f, the number of units and in the direction f translated to form g is, 7 units and downward direction
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
Two functions,
f(x) = x + 4
g(x) = x – 3
the difference in values of function f(x) & g(x)
f(x) - g(x) = x + 4 - ( x – 3 )
= x + 4 - x +3
= 7
So, if we subtract 7 from the function f(x)
⇒ f(x) - 7
⇒ x + 4 - 7
⇒ x - 3
So, vertical translation required is value 7 and in downward direction
To know more about Functions check:
https://brainly.com/question/5975436
#SPJ1
I need help with geometry pls
how do i find the answer of this math question or problem f(x) = 4x − 9?
Answer:
x = 9/4
Step-by-step explanation:
f(x) = 4x - 9
(first substitute f(x) with 0)
0 = 4× - 9
(Move four)
-4x = -9
=> x = -9/-4
= 9/4
the area of the rectangle shown is 66m^2
width = 4 2/5
length = x
work out the missing length x
Answer:
143cm
Step-by-step explanation:
Area=2(l+b)
Substitute the values for the variables.
66=2(l+22/5)
66=2xl+2x22
5
66=2l+44
5
Cross multiply
66x5=2l+44
330=2l+44
Collect like terms
-2l = 44-330
-2l = -286
-2l = -286
-2 -2
l=143
The missing length is 143m.
How can I write the product of (-13) ×(-13) ×(-13) using an exponent
Answer:
(-13)^3 = -2197
Step-by-step explanation:
(-13)^3 = -2197
Autumn mowed 4 lawns in 3 hours. What was her rate of mowing in hours per lawn?
Answer:
Autumn can mow at least 1 lawn per hour.
Step-by-step explanation:
divide 4/3 and get 1.333333. then round it down.
i need help really bad im slow
Answer:
Always try to isolate the variable by doing the INVERSE operation of the given.
so x-5=6
So its -5
You add 5 since its the inverse of it.
So add 5 to both sides or (c)
Answer:
C.) Add 5 to both sides.
Step-by-step explanation:
x - 5 = 6
Add five to both sides.
x - 5 = 6
+ 5 + 5
-5 and +5 cancel out. 6 + 5 is 11.
x = 11
Hope this helped!
(P.S: You're not slow! Everyone works at different paces! You're doing awesome!)
Evaluate the following expression 1/5^-2
a) 25
b) 1/25
c) -25
d) -1/25
Answer:
i think its 25!!! not completely sure tho
Match equivalent expressions. Numbers and letters go together
A. (x +9)(x+2)
B. (x-2)(x-3)
C. (x + 2)(x+3)
D. (x-2)(x+3)
E. (X-9)(x+2)
F. (x-9)(x-2)
1. x²+x-6
X
2. x2 +11x +18
3. x2 - 7x -18
4. x2-5x +6
5. x2 - 11x +18
6. x2 + 5x + 6
Answer:
(a) (x+9) (x+2)
(b)(x-2) (x-3)
(c) (x+2) (x+3)
(f) (x-9) (x-2)
(2) x2+11x+18
(3) x2-7x - 18
(6) x2+5x+6
Step-by-step explanation:
can yall help asap, please
Answer:
5b. I think is 2.64 or 2.6
6b. I think is 12
Step-by-step explanation:
35-28=7 so square root of 7 might be 2.64 or 2.6
245-101=144 so square root of 144 might be 12.
sorry if 5 is wrong.
I really need help please as fast as possible
Is 2/9 greater than 5/9 explain
Answer:
No
Step-by-step explanation:
Because 2/9 is 22 5/9=55
In decimals 2/9=0.222 and 5/9=0.555 so does that help
Have a great day :}
please help will mark brainliest
Answer: 5a+6b over 3
The points F(4,
-2), G(9,
-6), H (8, -1), and I (5, 2) form a quadrilateral. Find the desired slopes and lengths, then fill in the words that BEST identifies the type of
quadrilateral.
(PHOTO BELOW)
Answer:
see below for slopes and lengths
scalene quadrilateral
Step-by-step explanation:
When calculations are repetitive, it is reasonable to let a spreadsheet do them.
FG: slope: -4/5, length: √41 ≈ 6.40
GH: slope: -5, length: √26 ≈ 5.10
HI: slope: -1, length: 3√2 ≈ 4.24
IF: slope: 4, length: √17 ≈ 4.12
All of the segments are different lengths, and none of them are parallel or perpendicular. The figure is a scalene quadrilateral.
__
As you know, the slope is calculated from ...
m = (y2 -y1)/(x2 -x1)
and the length is calculated from ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
_____
In the attached spreadsheet, the slope and length are calculated from the point below. That is, the values on the line for F are for segment FG.
Please can someone explain and help me I am giving away 14 points the question is in the image
Answer:
The area is 67.36 cm squared
Step-by-step explanation:
The height is 8.982. The base is 15. 8.982 * 15 = 134.73 / 2 = 67.36
Could you help me with this maths question? Tysm
The correct answer is: " [tex]j^(^-^4^)[/tex] "; or; write as: " [tex]j^{-4}[/tex] ".
_______
Step-by-step explanation:
Given: " [tex]\frac{j}{j^4* j}[/tex] " ; assuming: " [tex]j\neq 0[/tex] " ;
_______
We are asked to express the correct answer (i.e. simplying the expression in a specific manner): "as a single term, without a denominator."
_______
As such, we can cancel out the "j" in the numerator, to "1" ; and cancel out the "j" in the denominator; to "1" ; since: " j ÷ j = 1 " ;
→ And we can rewrite the expression as:
" [tex]\frac{1}{j^{4}* 1 }[/tex] " ;
= " [tex]\frac{1}{j^4}[/tex] " ;
_______
Now, note the following property of exponents:
_______
" [tex]x[/tex]⁽⁻ⁿ⁾ = [tex]\frac{1}{x^n}[/tex] " ; {" [tex]x\neq 0[/tex] "} ;
_______
Likewise:
" [tex]\frac{1}{j^4}[/tex] ⇔ " [tex]j^(^-^4^)[/tex] " ; which is the correct answer:
→ " [tex]\frac{1}{j^4} = j^{-4}[/tex] " .
_______
Hope this is helpful to you!
_______
Hi! I will help you with a smile! :)
Recall the Properties of Exponents:[tex]\bold{a^{m} *a^n =a^{m+n}}[/tex]Now, let's use this property to solve our problem:[tex]\displaystyle\frac{j}{j^{4} *j}[/tex][tex]\displaystyle\frac{j}{j^{4+1} }[/tex][tex]\displaystyle\frac{j}{j^{5} }[/tex]Now, here comes the 2nd Property of Exponents:[tex]\displaystyle\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]Let's use this property to solve our problem:[tex]\displaystyle\frac{j}{j^{5} } =j^{1-5}[/tex]Think of j as j to the first power.Now, subtract the exponents:[tex]\bold{j^{-4}}[/tex]Answer:
[tex]\huge\boxed{j^{-4} }}\checkmark[/tex]
Hope it helps.
Please comment if you have any doubts.
Answered by
[tex]\fbox{PeacefulNature}[/tex]
[tex]\text{Enjoy Your Day, Evening, or Night!}[/tex]
At a certain restaurant, 8 sandwiches and 10 burritos will cost $123.40. In addition, 5 sandwiches
and 9 burritos cost $97.20. Assuming that we are talking about the same sandwiches and burritos,
what is the cost of 1 sandwich? What is the cost of 1 burrito? Let x represent the cost of a
sandwich and y represent the cost of a burrito.
Equation #1:
Equation #2:
Cost of 1 sandwich: $
Cost of 1 burrito: $
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by g(x) = −x 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
Answer:
See the Analysis
Step-by-step explanation:
Solution: From the problem
[tex]\left \{ {{f(x)=5^{x} } \atop {g(x)=-x+6}} \right.[/tex]
From 1 and 2
[tex]5^{x}=-x+6\\ x=1, y=5[/tex]
It means that the temperature is leaving as many people as it is increasing.
determine the equation of f(x)=x²-4 when shifted 2 units to the left
Which statement about these triangles is true? A triangle pre-image has side lengths of 12 and 5. A triangle Image has side lengths 12 3 and 5 3. The dilation is an enlargement. The dilation is a reduction. It is not a dilation. There is not enough information.
The true statement about these triangles is that a triangle pre-image has side lengths of 12 and 5.
What is a triangle?This is known to be a polygon that has three edges and also three vertices.
It is regarded as a key shapes in geometry. A triangle that has a vertice of A, B, and C as seen. The true statement about these triangles is that a triangle of that pre-image has side lengths.
Learn more about triangles from
https://brainly.com/question/24382052
Answer:
not a dilation
Step-by-step explanation:
Molly, a purchasing agent for a high-tech firm, is ordering computers for a new branch office. Laptops cost $540 apiece and desktop computers cost $680 apiece. The budget for the computers is no more than $20,000. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x= the number of laptops ordered y= the number of desktop computers ordered
Answer:
540x+680y<=20000
Step-by-step explanation:
x will be the number of laptops. Since they are $540 each, 540x is the amount spent on laptops, depending on how many (x) are purchased.
y will be the number if desktops. Since they are $680 each, 680y is the amount spent on desktops, depending on how many (y) are purchased.
Adding all the money spent on laptops and desktops, we get
540x + 680y. This amount must be less than the $20000. It can be exactly $20000 also. But it cannot be more than $20000.
540x+680y<=20000
The product of 8 and the difference of n and 3
8(n-3)
simpilify
8n-24
Somebody please help me out !! (Theres a photo attached)
Answer: many solutions
Ok done. Thank to me :>
Which expression is equivalent to 8 (6n + 6)?
- 48 + 6
- 8(n + 5n + 6)
- 6(8n + 6)
- 6 (6n + 8)
Answer:
Second option
Step-by-step explanation:
Given the following question:
[tex]8(6n+6)[/tex]
To find the answer we have to simplify the following expression and then simplify the options in till we have a equivalent answer.
[tex]8(6n+6)[/tex]
[tex]8\times(6n+6)[/tex]
[tex]8\times6n=48n[/tex]
[tex]8\times6=48[/tex]
[tex]48n+48[/tex]
Now one of these options after being simplified will be equal 48n + 48.
[tex]48+6[/tex]
Already simplified
First option isn't equivalent to the given expression.
[tex]8(n+5n+6)[/tex]
[tex]n+5n=6n[/tex]
[tex]8\times(6n+6)[/tex]
[tex]8\times6n=48n[/tex]
[tex]6\times8=48[/tex]
[tex]48n+48[/tex]
Second option is equivalent to the given expression.
Hope this helps.
The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). If area = length × width, what is the width of the rectangle?.
The width of the rectangle, for which area and length provided in polynomial equation form is,
[tex](x^43x^3+8x^2+4x)[/tex]
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of rectangle and (b) is the width of the rectangle
The area of the given rectangle is,
[tex]A=(x^4 +4x^3 +3x^2 - 4x - 4),[/tex]
The length of the given rectangle is,
[tex]L=x^3+ 5x^2 +8x+ 4).[/tex]
As, the area of a rectangle is the product of the length and the width of the rectangle. Let suppose the width of the rectangle is f(x). Therefore,
[tex](x^4 +4x^3 +3x^2 - 4x - 4)=(x^3+ 5x^2 +8x+ 4)\times f(x)[/tex]
Solve it further as,
[tex]f(x)=(x^4 +4x^3 +3x^2 - 4x - 4)-(x^3+ 5x^2 +8x+ 4) \\f(x)=(x^4 +4x^3 +3x^2 - 4x - 4-x^3+ 5x^2 +8x+ 4[/tex]
Separate the like terms with same power of variable as,
[tex]f(x)=x^4 +4x^3-x^3 +3x^2 + 5x^2- 4x +8x- 4 + 4\\f(x)=x^43x^3+8x^2+4x[/tex]
Hence, the width of the rectangle, for which area and length provided in polynomial equation form is,
[tex](x^43x^3+8x^2+4x)[/tex]
Learn more about the area of rectangle here;
https://brainly.com/question/11202023
pls i need help with ratios
Answer:
People to tables: 5:1
Tables to people: 1:5
Step-by-step explanation:
What are the solutions of the inequality?
[tex]h.[/tex]
hope it helps you
Answer:
c is the correct answer.
Explanation:
x < 0, x > 1
H matches the answer.