I would greatly appreciate it if someone could help me with this. A car travelled 400 km in 5 hours. Joe calculated the speed as 80 km/h but, when he graphed the relation, he calculated a slope of 0.0125. What do you think Joe did incorrectly?
It sounds like Joe calculated 5/400 = 0.0125
He divided in the wrong order. It should be 400/5 = 80 since we divide distance over time to get the speed (or rate).
-----------------
In terms of x and y, we basically are saying
slope = rise/run
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (400 km)/(5 hrs)
slope = 80 km per hour is the speed
A large soda bottle cap has a radius of 1+2 /2 centimeters. What is the area of the bottle cap? (R the area of a circle is no where r is the radius). 1 + 2v2 A. (5-12 - square IT square centimeters
Answer:
bottle top
Step-by-step explanation:
What is the volume of a sphere with a diameter of 57.1 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
so we have to use the formula 4/3PiR^3
which if we do we get the volume of
V≈97478.08
Answer:
V≈97478.08cm³
Step-by-step explanation:
Using the formulas
V=4/3πr3
d=2r
V=1/6πd3
D=1
1/6·πd3 1/6π ·57.13≈97478.07565cm³
I hope this helps. I worked hard on this one.
Find the area of the triangle.
18 in.
25 in.
Answer:
225in
Step-by-step explanation:
Francis borrowed $20 from his dad in the morning. Later, he gave his dad 8
dollars back. What rational number represents the overall amount of money Francis still owes his dad?
Answer:
13
Step-by-step explanation:
Francis borrowed 20$ and gives his dad 8$ he owes 12$ I hope it helps :)
equation of the line that has a slope of - 1/2and passes through the points (4,5)
Answer:
y=-1/2x+7
Step-by-step explanation:
I think its that
Answer:
y = (1/2) x + 3
Step-by-step explanation:
The equation of linear functions is y = m x + b
In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.
What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:
5 = (1/2) * 4 + b
5 = 2 + b
3 = b
So, the equation is y = (1/2) x + 3 :)
Which statement about 'square root X - 5 minus square root X = 5'' is true?
x = –3 is a true solution.
x = –3 is an extraneous solution.
x = 9 is a true solution.
x = 9 is an extraneous solution.
Answer: x=9 is an extraneous solution
Step-by-step explanation:
Given
Function is [tex]f(x)=\sqrt{x-5}[/tex]
for function to exist
[tex]\Rightarrow x-5\geq 0\\\Rightarrow x\geq 5[/tex]
Therefore, 9 satisfies the above equation. It is it's extraneous solution.
Kind of struggling with this would anyone be able to explain step by step? Id really appreciate it :)
Answer:
75
Step-by-step explanation:
this problem statement tries to confuse us. there is no pi involved - also because there are no round surfaces and edges involved.
what do you think the surface area of such a 4-sided pyramid consists of ?
think !
there are the 4 walls or sides. and then there is the bottom too (if you lift the pyramid up, yes, the "floor" or bottom also belongs to the surface area).
each "wall" or side is actually a triangle.
and the bottom is a square.
what is the area of a triangle (At) ?
At = base length × height / 2 = 3×11/2 = 33/2 in²
what is the area of a square (As) ?
it is a special form of a rectangle, where length = width.
the area of a rectangle (Ar) = length × width.
and the area of a square (As), where length = width is
As = side length × side length = length² = 3² = 9 in²
our pyramid now has 4 "walls", all of the same size, so we need 4 times the area of such a single triangle.
and then add the bottom area.
=> the pyramid surface area (Ap) is
Ap = 4 × At + As = 4×33/2 + 9 = 132/2 + 9 = 66+9 = 75 in²
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an number greater than 12?
Answer:
.6315 or 63.15%
Step-by-step explanation:
not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38 numbers on the wheel (and they are less than 12)
24/38 = .6315
Add - 3/x + 7y/x .
-4y/2x
-3 + 7y/x
- 10y/x
-3 + 7y/2x
Answer:
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{x} , \frac{7y}{x}[/tex]
Required
Add
The statement can be interpreted as:
[tex]-\frac{3}{x} + \frac{7y}{x}[/tex]
Take LCM
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
Simplify the expression below
Answer:
[tex]3\sqrt{10}[/tex]
Step-by-step explanation:
What is the value of (–7 + 3i) – (2 – 6i)?
–9 + 9i
–9 – 3i
–5 – 3i
–5 + 9i
Answer:
- 9 + 9i
Step-by-step explanation:
(- 7 + 3i) - (2 - 6i)
- 7 + 3i - 2 + 6i
- 7 - 2 + 9i
- 9 + 9i
ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN A circular walkway surrounds a fountain.The fountain alone has a diameter of 16 feet.The walkway adds an additional 4 feet to each side. What is the area of the walkway minus the area of the fountain. Use 3.14 for Pi.
Answer:
Step-by-step explanation:
[tex]A_{circle}=\pi r^2\\\\A=\pi r_{walkway}^2-\pi r_{fountain}^2\\\\A=\pi(20^2-16^2)=244\pi[/tex]
use a calculator fo find the value
Answer:
a = 452.16 ft² area of walkway
a = -351.68 ft² area of the walkway minus the area of the fountain
Step-by-step explanation:
Area fountain
a = π16²
a = 256π
Area fountain and walkway
a = π(16 + 4)²
a = π20²
a = 400π
Area Walkway
a =400π - 256π
a = 144π
a = 144 * 3.14
a = 452.16 ft²
------------------------------
I think the Area of the Walkway is what the question should be asking for, but it asked for
"the area of the walkway minus the area of the fountain"
a = 144π - 256π
a = -112π
a = -112 * 3.14
a = -351.68
4 + 9x + 8 + 3x + 5 + 2
Simplify the expression by combining the like terms
Answer:
12x+19
Step-by-step explanation:
First you would find the like terms. There is 9x and 3x, and 5, 2, 4, and 8. If you combine 9x and 3x, you get 12x, and if you combine 5, 2, 4, and 8, you get 19. You then combine your two answers to get 12x+19.
Answer:
12x + 19
Step-by-step explanation:
Add the exponents and then add the numbers.
please help zkhdusjdushs
Answer:
48
Step-by-step explanation:
16×3=48
therefore the answer is forty eight
Cary calculated the surface area of a box in the shape of a rectangular prism. She wrote the equation 148 = 2 (6w + 6h + hw) to represent the width and height of the box. She solved for w and got w = StartFraction 74 minus 6 h Over h + 6 EndFraction Which of the following is an equivalent equation?
Answer:
the answer is w = 148-12h/12+2h
The equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
We have the equation written by Carly → 148 = 2 (6w + 6h + hw) that represent the width and height of the box in the shape of a rectangular prism.
We have to solve for w.
What do you mean by Equivalent expression ?Any expression written in a form different from the original form, but gives same result for any input are called equivalent expressions.
Solve for x : [tex]$log(\frac{x}{\omega}) = 2\pi[/tex]We have -
[tex]$log(\frac{x}{\omega}) = 2\pi[/tex]
log(x) - log(ω) = 2π
log(x) = 2π + log(ω)
x = [tex]e^{(2\pi + log(\omega))} = e^{2\pi } \times e^{log(\omega)}[/tex]
According to the question, we have -
148 = 2 (6w + 6h + hw)
(6w + 6h + hw) = 74
hw + 6w = 74 - 6h
w(h + 6) = 74 - 6h
[tex]$w=\frac{74-6h}{h+6}[/tex]
Hence, the equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
To solve more questions on Rearranging expression, visit the link below-
https://brainly.com/question/1824488
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Marty decided he wants to run a 5K race. He is starting by running 1 3/4km and adding 1/2km each day. How many days will it take him to reach his goal?
Answer:
2day I think might not be right
The number of days it will take him to reach his goal is 6.5 days.
Given that, Marty decided he wants to run a 5 km race.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of days be x.
He is starting by running [tex]1\frac{3}{4} =\frac{7}{4}[/tex] km and adding 1/2km each day.
Now, 7/4 +1/2 x= 5
⇒ 1/2 x= 5-7/4
⇒ 1/2 x=13/4
⇒ x=6.5 days
Therefore, the number of days it will take him to reach his goal is 6.5 days.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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PLEASE HELP!!!
WILL MARK BRAINLIEST!!!!
In the triangle shown, solve for X to the nearest degree.
Multiple choice!
Thank you!
Answer:
x=42°
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=9/10
tan x=0.9
x=[tex]tan^{-1}[/tex]0.9
x=41.98
x=42 degree
Answer:
41.987° which rounds to 42 degrees
Step-by-step explanation:
According to the general equation for conditional probability, if P(An B9 =
001 -
and P(B)
=
7
18
what is P(
AB)?
A. 5/7
B. 3/7
C. 4/7
D. 2/7
120+12314543-900-90+12
Answer:
12313685 is the answer............happy to help u
SOMEONE PLEASE HELP! I don’t know how to do this !
9514 1404 393
Answer:
136
Step-by-step explanation:
The x-value at one end of the beam will be where f(x) = 0.
0 = -x²/272 +17
x² = 17(272) = 4624
x = ±√4624 = ±68
The beam extends from x=-68 to x=68, so has a width of ...
68 -(-68) = 136
__
Note that the x in the equation for f(x) is not the same as the x in the picture corresponding to width.
i don't understand how to add the fractions
Answer:
5/4 or
1 and 1/4
Step-by-step explanation:
1/2 + 3/4 =
1 × 2
2 × 2 + 3/4
=
2/4 + 3/4
=
2 + 3
----------
4
so
5/4 or
1 and 1/4
d. The equation of a line is y+6=-9(x - 1). The slope of the line is and the y-intercept is A point on the line is
Answer: The equation of a line is y+6=-9(x-1). The slope of the line is -9 and the y-intercept is 3. A point on the line is (0, 3)
Step-by-step explanation:
Let's start by putting it in slope intercept form.
First use the distributive property
[tex]y+6=-9(x-1)\\y+6=(-9)(x)+(-9)(-1)\\y+6=-9x+9[/tex]
Now subtract 6 from both sides
[tex]y+6-6=-9x+9-6\\y=-9x+3[/tex]
Now it is in slope intercept form (y=mx+b)
In slope intercept form the slope of the line is the value m. In our equation the value m is -9 making that our slope.
In slope intercept form the y-intercept of the line is b. In our equation the value of b is 3 making that our y-intercept.
To find a point on the line we can sub x with any number to find the y so that we can find the coordinate.
[tex]y=-9(0)+3\\y=0+3\\y=3[/tex]
A point on the line is (0, 3)
Consider the following sets of sample data: A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766 B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25 Which of the above sets of sample data has the larger spread
Answer:
Data B
Step-by-step explanation:
Given the data :
A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25
The spread of a data gives the variation in the data values of a given sample.
To obtain which data has the larger spread, we obtain the coefficient of variation. Which is the ratio of the standard deviation and the mean of the dataset.
(Standard deviation / mean) * 100%
Using calculator :
Data A :
Mean, x = 21101.5714
Standard deviation, s = 700.28925
Coefficient of Variation :
(700.28925 / 21101.5714) * 100% = 3.32%
Data B :
Mean, x = 4.24375
Standard deviation, s = 0.457006955
Coefficient of Variation :
(0.457006955 / 4.24375) * 100% = 10.77%
10.77% > 3.32%
Hence. Data B has a larger spread
I need help ASAP anyone
Answer:
90
Step-by-step explanation:
there is 6 sides of box
2 bigger and 4 smaller
area of bigger side is 5×5 = 25 this is the area of one side as we have 2 sides so are of both sides is 25 + 25 = 50
now come to the smaller sides ( we have 4 here)
are of one side is 2× 5 = 10
so are of all 4 sides is 10× 4 = 40
now we get area of 4 smaller sides and 2 bigger sides
total area of box is 40+ 50 = 90
hope you understand
Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?
6
7 1/2
14 1/2
30
Answer:
0
Step-by-step explanation:
3(x+6)=18
3x+18=18
3x=18-18
3x=0
3x/3=0/3
x =0
10t+[tex]\geq[/tex]130+3.5t
Answer:
The answer is [tex]t\geq 20[/tex].
Step-by-step explanation:
To solve the inequality, start by solving for the variable [tex]t[/tex].
To solve for the variable [tex]t[/tex], subtract [tex]3.5t[/tex] from both sides. The inequality will look like [tex]6.5t\geq 130[/tex].
Then, divide both sides by 6.5 in order to get the variable [tex]t[/tex] by itself. The inequality answer will look like [tex]t\geq 20[/tex].
the students in charge of the class booth at a carnival would like to earn $3 for every item they sell. they spent $55 for the materials to make the items. solve the inequality 3x-55_>65 which represents how many items they need to sell to make profit of at least $65
Answer:
x ≥ 40
Step-by-step explanation:
3x - 55 ≥ 65
combine like terms
3x ≥ 65 + 55
3x ≥120
divide both sides of the equation by 3
x ≥ 40
A three-layer chocolate cake costs $24 and serves 16 . What is the cost per slice?
Hi there!
»»————- ★ ————-««
I believe your answer is:
$1.50
»»————- ★ ————-««
Here’s why:
Assuming that the cake has one slice per person (16 slices):
⸻⸻⸻⸻
[tex]\frac{\text{price}}{\text{slice}}\\\\\rightarrow \frac{24}{16}\\\\\rightarrow \boxed{1.50}[/tex]
⸻⸻⸻⸻
Each slice should cost $1.50.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Complete the input-output table for the function y = 3x.
Input-Output table
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y