What is the volume of the rectangular prism, in cubic cm?
9 cm
4 cm
12 cm
Answer:
V =432 cm^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 9*4*12
V =432 cm^3
Lorrie biked d miles in 2 hours. She traveled at an average speed of more than 8 miles per hour. To determine the distance she may have traveled, she uses the inequality 2d > 8. She then determines that she biked at most 4 miles. Analyze Lorrie’s inequality and solution.
Answer:
[tex]\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}[/tex]
[tex]\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the problem
Given:
Lorrie biked [tex]d[/tex] miles in time [tex]t = 2[/tex] hours.
Lorrie traveled at speed [tex]s[/tex] which is greater than [tex]8[/tex] (mile/hour).
Task:
Lorrie wants to determine the distance she may have traveled.
Key point:
The relation among the distance biked [tex]d[/tex], time [tex]t[/tex], and the speed [tex]s[/tex] is represented:
[tex]d = s[/tex] x [tex]t[/tex]
Step 2: Substitute given data into the main relation
with: [tex]s > 8[/tex] and [tex]t = 2[/tex]
=> [tex]d = s[/tex] x [tex]t[/tex]
=> [tex]d[/tex] > [tex]8[/tex] x [tex]2[/tex]
Simplify:
[tex]d > 16[/tex]
Step 3: Verify Lorrie's inequality
Lorrie uses the inequality [tex]2d > 8[/tex] to conclude that she traveled a distance [tex]d[/tex] at most [tex]4[/tex] miles, or [tex]d < 4[/tex].
Considering the correct answer is at step 2, in which, [tex]d > 16[/tex].
=> Lorrie's conclusion is incorrect.
Hope this helps!
:)
Answer:
Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.
Step-by-step explanation:
took the test
i suck at geo please help
Answer:
It's B
Step-by-step explanation:
Because you see a reflection would show the traingle flipped translation would mean the traingle is in a totally different space and rotation would mean the shape is rotated and so B is left and so B is the correct answer.
Share £45 in the ratio 4:5
Answer:
20 : 25
Step-by-step explanation:
A : B : total
4 : 5 : 4+5 = 9
We want to share 45
45/9 = 5
Multiply each share by 5
A : B : total
4*5 : 5*5 : 9*5
20 : 25 : 45
solve using eliminates method 3x-4y=15 2x-2y=8
Answer:
Step-by-step explanation:
Write an equation to represent the following statement. 33 is 15 less than k. Solve for k. k= ___
Answer:
k = 48
Step-by-step explanation:
k - 15 = 33
Add 15 to both sides
k - 15 +15 = 33 +15
k = 48
Add.
5x^2- 5x+1
2x^2+9x-6
Answer: C. 7x^2+4x-5
Step-by-step explanation:
Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.
find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis
Answer: C
Step-by-step explanation:
Reflection across x = -1
The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)
J = (0, 0) is 1 unit to the right of x = -1
J' = (-2, 0) is 1 unit to the left of x = -1
K = (1, 4) is 2 units to the right of x = -1
K' = (-3, 4) is 2 units to the left of x = -1
L = (3, 3) is 4 units to the right of x = -1
L' = (-5, 3) is 4 units to the left of x = -1
Reflection across x-axis
Change the sign of the y-value: (x, y) → (x, -y)
J' = (-2, 0) J'' = (-2, 0)
K' = (-3, 4) K'' = (-3, -4)
L' = (-5, 3) L' = (-5, -3)
Plz try your best do not quess
Answer:
4,000,000,000,000
Step-by-step explanation:
Make it look like this first:
[tex]\frac{6*10^8}{1.5*10^-4}[/tex]
You get:
[tex]4*10^{12}[/tex]
Which is 4,000,000,000,000
Esmeralda has decided that every month, for as long as she can
afford it, she's going to donate $250 to a charity that helps fund
research on treatments for cancer. Esmeralda sticks to her word and
continues donating for 2 years. Determine how many more months she
can afford to donate if the starting balance of the account is $8,000.
Answer:
8 months more
Step-by-step explanation:
first calculated how many months total she can donate: 8000/250 = 32 months
2 years has 24 months
subtract 32 with 24 which is 8 and that is how many months left that she can donate
find the vertical asymptote. y = x - 1 / x + 4
Answer:
x = - 4
Step-by-step explanation:
Given
y = [tex]\frac{x-1}{x+4}[/tex]
The denominator of y cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 4 = 0 ⇒ x = - 4
Thus the vertical asymptote is x = - 4
What is the area of the figure? A. 360 km² B. 432 km² C. 720 km²
D. 864 km²
The answer is 360km^2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
an elevator moves at a rate of -5.8 feet per second from a height of
300 feet above the ground. the elevator takes 3 seconds to make its first stop.
how many feet above the ground is the elevator now?
Answer:
282.6 ft
Step-by-step explanation:
First you must figure out how far the elevator drops in three seconds.
To do so you multiply how far it falls per second (5.8 ft) by how long it falls for (3 seconds). 5.8 * 3 = 17.4
now you subtract 17.4 from 300 to get 282.6 ft
does y = 2x + 3 and y = 2x – 11. intercept
Answer:
yesssssssssssssssssssssssssssssss
25x⁴+4x⁴y²+4y⁴ answer this
Answer:
(5x²+2y² + 2xy)(5x²+2y²-2xy)
Step-by-step explanation:
25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)
if(x+3) and 133 digree is a pair of vertically opposite angles then the measure of x is
Answer:
x=130
Step-by-step explanation:
as vertically opposite angles are equal therefore,
133=X+3
x=133-3= 130
I hope it helps
a cuboid has length 4.2 m breadth 1.4 m and height 1.2 m . find the number of cubes each of lengh 20cm ,which canbe cut from the cuboid.
l= 4.2 m = 4.2 * 100 = 420 cm
b = 1.4 m = 1.4*100 = 140 cm
h =1.2 m =1.2 *100 =120 cm
Volume of cuboid = l*b*h = 420 * 140 * 120 = 705600 cubic cm
Volume of cube = a*a*a = 20*20*20 = 8000 cubic cm
No.of cubes = Volume of cuboid / volume of cube
= 705600 / 8000 = 882 cubes
or 420*140*120 / 20*20*20 = 42*14*12/2*2*2 = 21*7*6 = 882 cubes
What is the circumference and area of a circle in which the diameter of the circle is 16 feet
Answer:
The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps
Step-by-step explanation:
Find the circumference of the circle.
Use 3.14 for Pi
c=2pi r
13 cm
Give your answer to the nearest hundredth.
Answer:
81.64
Step-by-step explanation:
2(3.14)=6.28
6.28*13=81.64
Plug r into the equation provided...
c = 2(3.14)(13)
c = 81.64cm
A livestock vaccine is to be given at the rate of 2 milliliters for each 15 pounds of body weight. How much should be given to a 60-pound goat?
Answer:
8
Step-by-step explanation:
There are 4 times 2 milliliters in each 15 pounds of a 60-pound goat
Answer:80milliliters/pound
Step-by-step explanation:
Rate per a pound = 20/15=4/3
For 60pounds =4*60/3
=80milliliter/pound
What is the volume of a rectangular prism with l = 412 cm, w = 312 cm, and h = 6 cm?
A. 9012 cubic centimeters
B. 9412 cubic centimeters
C. 95 cubic centimeters
D. 9512 cubic centimeters
The required volume of the rectangular prism is 765792 cubic centimeters. None of the options are correct.
To find the volume of a rectangular prism, you can use the formula:
Volume = length (l) * width (w) * height (h)
Given:
l = 412 cm
w = 312 cm
h = 6 cm
Volume = 412 cm * 312 cm * 6 cm
Volume = 128544 * 6 cubic centimeters
Volume = 771264 cubic centimeters
Thus, the volume of the given rectangular prism is 771264 cubic centimeters.
Learn more about volume here:
https://brainly.com/question/31621849
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Please Help ASAP!
What values are in the domain of the function f(x)= 4-2x, if the range is {0,4,8}
Replace the range for f(x)
So...
0=4-2x
x=2
4=4-2x
x=0
8=4-2x
x=-2
Solve!
These are your domains!
Directions: Find the value of x.
Answer:
x=14
Step-by-step explanation:
We know JNK+KNI must equal 180 because it is half of a circle.
31+9x+23=180
9x=126
x=14
What is the quotient of x^2-9x+14/x-7?
A. x+2 B. x-7 C. x-2/x-7 D. x-2
Answer:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
Step-by-step explanation:
Please use parentheses to show clearly that you are dividing by (x - 7):
x^2 - 9x - 14
------------------- or (x^2 - 9x - 14) ÷ (x - 7)
x - 7
x^2 - 9x + 14 factors into (x - 7)(x + 2). After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
What would this be and how do i find the answer?
Answer:
d
Step-by-step explanation:
this says x is greater than -4 meaning the integers cannot include -4
it also says x is less than or equal to one meaning that it can include 1 but not more than 1
d satisfies this inequality.
find the gradient of the line through (0, 2) and (3,14)
Answer:
gradient = 4
Step-by-step explanation:
Calculate the gradient using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)
m = [tex]\frac{14-2}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4
PLEASE HELP ASAP How many solutions does this system have? (photo below)
Answer: I got b., no solutions
Step-by-step
3x-5y=15
6x-10y-30x
times the top by-10 and the bottom by 10
-30x+50=-150
60x-50=300
crossing out the 50's cause they cancel out. also, subtract the others -30-60 giving -90x. and -150-300= -140
-90x=-450
divide -450 by -90
x=5.
Put 5x in either equation. Either one you do. it cancels out the answer in the equation. then you would subtract and get zero. divide and still get zero.
Sounds really confusing but hope it helps. Please give me a brainliest. Thanks :)
State the solution
5x-y=14 and x+3y=-10
Answer:
x = 2, y = - 4
Step-by-step explanation
5x-y=14
x+3y= - 10
x = - 10 - 3y
5(- 10 - 3y) - y = 14
- 50 - 15y - y = 14
-16y = 64
y = - 4
x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2
x = 2
Sean began jogging to live a healthier lifestyle. In his first run he ran one half mile he increased his workouts by adding two miles a month to his run he wrote the equation f(x)=0.5+2x to model his progress the variable x represents the number of___?
Answer:
Step-by-step explanation:
The words "two iles a month" tells us that the expression represened by those words is the "2x" part of the equation. x represents the number of months. The .5 part tells us that he began this process with a half mile.
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)