Answer:
t(32) = 94
Step-by-step explanation:
a. I think s is the independent variable
b I think t or t(s) is the dependent variable since the total amount of money depends on how many treats are sold.
t(32) = 30 + 2(32)
t(32) = 30 + 64
t(32) = 94
I'm a little unsure on the dependent and independent variable but I know the function is correct.
Hope this helps :)
What is the equation of the line through the origin and (7,2)
Answer:
y=[tex]\frac{2}{7}[/tex]x
Step-by-step explanation:
First: find slope of line by using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] with the two points (0,0) and (7,2)
slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{2-0}{7-0}[/tex] = [tex]\frac{2}{7}[/tex]
Second: plug your data into the point slope formula [tex]y-y_1=m(x-x_1)[/tex]
y-0=[tex]\frac{2}{7}[/tex](x-0)
y-0=[tex]\frac{2}{7}[/tex]x
y=[tex]\frac{2}{7}[/tex]x
Answer:
y=2/7x
Step-by-step explanation:
“CAN”
PLACE VALUE
How does the 5 in the tens place
compare to the 5 in the ones place?
3,055
What is 100 times greater than 62.7
Answer:
6,270
Step-by-step explanation:
hope this helps
Mia has a large bag of sweets. if she shares the sweets equally among 2,3,4,5 or 6 people there will always be one sweet left over. what is the smallest number of sweets there could be in the bag?
Answer:
4
Step-by-step explanation:
Select the defined terms in Geometry
1-plane
2-line segment
3-point
4-line
5-ray
If the infinite curve y = e−4x, x ≥ 0, is rotated about the x-axis, find the area of the resulting surface.
Answer: the area of the resulting surface is π/16 [ 4√(17) + In( 4 + √( 17)) ]
Step-by-step explanation:
Given that;
y = e^(-4x), x ≥ 0
then, dy/dx = -4e^(-4x)
now, √( 1 + (dy/dx)² ) = √( 1 + ( -4e^(-4x))²) = √( 1 + 16e^(-8x)
so the surface area of the surface obtaining by rotating the curve y = e^(-4x) on ( 0, ∞ ) about x-axis is,
S = ₀∫^∞ 2πy √( 1 + (dy/dx)² ) dx
S = ₀∫^∞ 2πe^(-4x) . √( 1 + 16e^(-8x) dx
S = 2π. ₀∫^∞ e^(-4x) . √( 1 + 16e^(-8x) dx
so LET 4e^-4x = u ⇒ -16e^(-4x) dx = du
⇒e^-4x dx = du/ -16
so whenx = 0, then u =4 and when x → ∞ then e^(-4x) → 0 so u →0
therefore
S = 2π ₄∫⁰ √(1 + u²) . du/-16
= π/8 ₀∫⁴ √(1 + u²) . du
= π/8 [ u/2√(1 + u²) + 1/2 In ( u + √( 1 + u²) ]₀⁴
WE MAKE USE OF
∫√( a² + u²) du = u/2√(a² + u²) + a²/2 In ( u + √( a² + u²)) + C
so
= π/8 [ 4/2√(1 + 16) + 1/2 In ( 4 + √( 1 + u16 ]
= π/8 [ 2√(17) + 1/2 In ( 4 + √( 17)) ]
= π/16 [ 4√(17) + In( 4 + √( 17)) ]
therefore the area of the resulting surface is π/16 [ 4√(17) + In( 4 + √( 17)) ]
(1/4)^−2−(5^0⋅2)⋅1^−1
Answer:
14.62 I believe
Step-by-step explanation:
What is the image of the point (-2,4) after a rotation of 270° counterclockwise about the origin?
Answer:
(4, 2) the formula for 270 rotation counterclockwise is (y,-x)
Step-by-step explanation:
In your own words, explain how horizontal and vertical
translations can affect the coordinates of the points of a
figure.
Answer:
if you were to get a answer you would have to put it in ur own words because some teachers come on here
Step-by-step explanation:
Clare earned a total of $12 for 2 hours of yard work. How many hours in all will it take Clare
to earn $18? Solve using unit rates.
Fast please asap thanks
Answer:
3 hours
Step-by-step explanation:
$12 = 2hours
Find how much Clare was paid for one hour
Total money earned ÷ number of hours = wage per hour
12 ÷ 2 = $6 per hour
set up equation
6x = 18
This equation says 6 dollars an hour × number of hours = $18
To solve for this equation, divide both sides by 6 (this isolates the variable)
6x ÷ 6 = 18 ÷ 6
1x = 3
x = 3
Which of the following variable expressions would represent the area of a rectangle if its length was represented by x+5 and its width was represented by x-2?
x[tex]x^{2} +3x+10\\
x^{2} +3x-10\\
x^{2} -10x+3\\
x^{2} -10[/tex]
Answer:
B
Step-by-step explanation:
Remember that the area of a rectangle is given by the formula [tex]A=lw[/tex].
We know that the length is [tex](x+5)[/tex] and the width is [tex](x-2)[/tex]. Therefore, the area will be:
[tex]A=(x+5)(x-2)[/tex]
Expand. Use the Distribute Property. This yields:
[tex]A=(x+5)(x)+(x+5)(-2)[/tex]
Multiply:
[tex]A=(x^2+5x)+(-2x-10)[/tex]
Combine Like Terms:
[tex]A=x^2+(5x-2x)-10\\A=x^2+3x-10[/tex]
Therefore, our answer is B.
Which type of government BEST describes the type of government found in
Mesopotamia?
A- Small Kingdoms
B- Independent City-states
C- Large Empires
D- Populated Towns
Please help quick!!
factor this expression fully
[tex] {x}^{2}(x - 1) - 9x(x - 1) + 8(x - 1)[/tex]
Answer:
1,0
Step-by-step explanation:
No need to expand look at the roots of the brackets.
(x-1)=0
x=1
x^2 and -9x have roots 0
Think of it as whatever sets the expression to 0.
please tell me what the domain and range of graphs Part 4
the mass of a block is 12g and the volume is 6 ml calculate the density of the block
a.) 0.5 g/ml
b.) 18 g/ml
c.)2 g/ml
d.)72g/ml
Answer:
c.)2 g/ml
Step-by-step explanation:
Given:
Mass of block = 12 g
Volume of block = 6 ml
Required:
Density of the block
SOLUTION:
Density is given as the mass of the block per unit volume.
Thus, density = mass/volume
Density of block = [tex] \frac{12 g}{6 ml} [/tex]
= 2 g/ml.
The answer is c. 2 g/ml.
two years ago, a car was valued at $24000. This year, the value of the car is $23160. What was the percent decrease in the value of the car
Answer:
Step-by-step explanation:
idek
what is the greatest common faactor of 72 and 40
Answer:
8
Step-by-step explanation:
List the prime factors of each number. Multiply those factors both numbers have in common.
Graph the line y=−3x+b if it is known that the graph goes through point:
A(−2, 4)
B(5, 2)
I WILL AWARD BRAINLIEST I’ve asked this for days so plz help
Answer:
А(0/6;-2) и B(-5.6;17)
Step-by-step explanation:
(-2;4) поставь координаты место (x;y)
Например: 4=-3*(-2)+b, найдите b, а затем нарисуйте график.
Я отправила вам фото. Там всё написано и график тоже
sam can make 18 burritos in 8 min write the ratio that compares the time to the number of burritos simplify if possible
Answer:
Ratio time to the number of burritos = 4:9
Step-by-step explanation:
Given:
Number of burritos make = 18
Total time taken = 8 min
Find:
Ratio time to the number of burritos
Computation:
Ratio time to the number of burritos = Total time taken / Number of burritos make
Ratio time to the number of burritos = 8 / 18
Ratio time to the number of burritos = 4 / 9
Ratio time to the number of burritos = 4:9
A number line going from negative 10 to positive 10. Point A is at 4, Point b is at 2, Point c is at negative 2, point d is at negative 4.
Which point represents the number 2?
The number 2 is at point
.
Answer: Point B represents the number 2 on the number line.
How?: Well, any whole number (without the minus/negative sign), is equal to a positive number. 2 is a whole number. So, therefore, it's Point B.
What does B x h stand for?
Identify the linear equation.
A) y = x6
b) y=x/6
c) y=6/x
d) y= |x+6 |
All fifth grade students from centerville elementary hiked around lake D. if there are 317 students about how many total miles did they hike
Answer:
317 x 18 = 5706
solve: 5 (x+2) +2x
make sure to show your work
Answer:
5 (x+2) +2x is equal to 7x + 10
Step-by-step explanation:
To find the value of this equation you would have to apply the distributive property by changing 5 (x+2) to 5x +10. (When applying the distributive property you will always multiply the numbers in the parentheses by the number on the left of it). Then you would combine like terms by adding 2x and 5x together. You will then have 7x + 10.
Step-by-step explanation:
1.) Distribute = 5x+10
2.) Collect Like-Terms = 5x & +2x
3.) Add 5x and +2x , which = 7x
Now you have your answer, which is: 7x + 10.
I hope this helped.
Pleaseeeee helppp quick
Answer:
A. The triangles are similar because the ratios of the corresponding sides are the same
Step-by-step explanation:
Both ∆sloom similar in shape. Let's find out if they are actually similar.
∆TUV and ∆QRS are similar if the ratio of their corresponding sides are the same all through.
Thus:
TU = 70, QR = 25, UV = 84, RS = 30, TV = 42, QS = 15
If both ∆s are similar, then, TU/QR = UV/RS = TV/QS
TU/QR = 70/25 = 2.8
UV/RS = 84/30 = 2.8
TV/RS = 42/15 = 2.8.
Ratio of corresponding sides is the same, therefore, both triangles are similar.
Therefore, the following statement is true:
A. The triangles are similar because the ratios of the corresponding sides are the same
(iv) 123456
3. Find the sum of the place values of 5 in the following numbers:
(0) 3515
(II) 52105
(III) 61655
(iv) 52545
(v) 50005
(VI) 525250
(vil) 55348
(vill) 52756
Answer:
it should be 45,870
Step-by-step explanation:
A rectangle has an area of 352 square feet. Its widih is ten feet less than twice the length Find the measures of the length and width of the rectangle.
Answer:
The Length is 16.
The width is 22.
Step-by-step explanation:
[tex]Area=Width*Length\\352=(2L-10)*(L)\\352=2L^2-10L\\0=2L^2-10L-352\\x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} \\b=-10; a=2; c=-352\\ x=\frac{10+/-\sqrt{100-4(-352)*(2)} }{2*2} \\x=\frac{10+/-\sqrt{100+2816)} }{4}\\x=\frac{10+/-\sqrt{2916)} }{4}\\x=\frac{10+/-54 }{4}\\x=64/4=16[/tex]
0.3 (2x+5x) = 4.2
How do you solve Decimal Equations? i need help again
Help it’s due tomorrow I’ll mark you as the brainless but please help
Answer:
The slope of a line is
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Get 2 points off each line
(x1, y1)
(x2, y2)
And sub them into the formula.
The y intercept is where the line cuts the y axis (the vertical line)
From what I can make out the y intercept for the first part in question 12 is (0,-2) and for the third part is (0,0) but I can't see the second one.
It might help if you took a clearer photograph I'm so sorry but I can't really see it.
Large cheese pizzas cost $5 each and large one-topping pizzas cost $6 each.
Write an equation that represents the total cost, t, of c large cheese pizzas and d large one-topping pizzas.
Answer:
5+6=11
Step-by-step explanation:
:D
Answer:
t=5c+6d
Step-by-step explanation:
5c=cheese pizza cost
6d=topped pizza cost