Step-by-step explanation:
f(2) = 3x^4 - x + 5x + 7
f(2) = 3(2)^4 - 2 + 5(2) + 7
f(2) = 3(16) - 2 + 10 + 7
f(2) = 48 + 15
f(2) = 63
The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 2.5 L/cm2
A. 322.5 cm
B. 800 cm3
C. 128 cm3
D. 0.008 cm
Answer:
C. 128 cm³
Step-by-step explanation:
16(20) = 320
320/2.5 = 128 cm³
Find the area of the shaded region. Round your answer to the nearest hundredth.
12=side length
The area of the shaded region is about — square units.
How do you find the area of the shaded region? Thank you!
Answer:
Step-by-step explanation:
Divide 360 by the number of sides in a regular polygon to find θ
θ = 360/5 = 72°
Use law of cosines to find the radius of the circle which equals the common length sides of the isosceles triangle
12² = R² + R² - 2•R•Rcos72
12² = 2R² - 2R²cos72
12² = 2R²(1 - cos72)
R² = 12² / 2(1 - cos72)
R² = 104.1993788...
R = 10.2078...
The height of the isosceles triangle is
h = Rcos(θ/2) = 10.2078cos(72/2) = 8.258291...
The shaded area is the area of the circle minus the area of the pentagon.
A = π(104.1993) - 5(½(12)(8.258291))
A = 327.35200... - 247.74874...
A = 79.6032575...
A = 79.60 units²
The Area of the shaded region is A = 79.60 units²
What is law of Cosine?A planar triangle's side's square is equal to the sum of the squares of the other sides minus the product of those sides and the cosine of the angle that separates them by two.
Given:
length= 12
So, Divide 360 by the number of sides in a regular polygon
θ = 360/5
θ = 72°
Use law of cosines
12² = R² + R² - 2 x R x Rcos72
12² = 2R² - 2R² cos72
12² = 2R²(1 - cos72)
R² = 12² / 2(1 - cos72)
R² = 104.1993788...
R = 10.2078...
Thus, the height of the isosceles triangle is
h = R cos(θ/2)
= 10.2078cos(72/2)
= 8.258291...
and, the shaded area is
A = π(104.1993) - 5(½)(12)(8.258291))
A = 327.35200 - 247.74874
A = 79.6032575
A = 79.60 units²
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Sally can paint a room in 4hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together.
It would take ___ hours.
(Type an integer of decimal rounded to one decimal place as needed)
Answer:It would take 1.700 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation: then it would be 7 or 9 hours
Please look at the picture for question.
Answer:
j = 6
Step-by-step explanation:
(5 + 3)6 = 48
(8)6 = 48
48 = 48
Look at picture for question.
1) Which value is equivalent to 5+ 4 x 2? A) 11 B) 13 C) 18 D) 22
Answer:
Option B) 13 is correct
Step-by-step explanation:
5+4×25+813Write the expression as the sum or difference of two logarithmic functions containing no exponents.
log(x/x + 1)
Hi how u doin ?
[tex] log( \frac{x}{x + 1} ) = \\ [/tex]
[tex] log(x) - log(x + 1) [/tex]
Have a great day ❤
y = - 1/7x - 2 parallel to 7,6 ???
Answer:
y = - 1/7x - 7
Step-by-step explanation:
Given equation ,
=> y = -1/7 - 2
On comparing to slope intercept form of the line we get the slope as -1/7
Now as we know that the slope of two parallel lines are same . So the slope of parallel line will be -1/7 .
Using point slope form ,
=> y - 6 = -1/7( x -7)
=> y -6 = -1/7x +1
=> y -7 = -1/7x
=> y = -1/7x -7
can someone pleaseeeee helppppp mee
yessssss I cannnnnnn helppppp youu
[tex] \frac{ - 12}{c} = 6 \\ [/tex]
Inverse both sides
[tex] - \frac{c}{12} = \frac{1}{6} \\ [/tex]
Multiply both sides by - 12
[tex]( - 12) \times - \frac{c}{12} = ( - 12) \times \frac{1}{6} \\ [/tex]
[tex]c = - 2[/tex]
There u go have a great day ❤
Answer: C = -2
Step-by-step explanation: Well if you times 2x3 that = 12. So -2= c.
I am really sorry if this is wrong. I tried my best. :-)
Hope you have a wonderful day !
This population chart represents linear or exponential growth?
•linear
•exponential
This is Linear graph.
Linear graph is represented in the form of a straight line. ... If the graph of any relation gives a single straight line then it is known as a linear graph. The word "linear" stands for a straight line. The linear graph is a straight line graph that is drawn on a plane connecting the points plotted on x and y coordinates.
- BRAINLIEST answerer
1.
Find the value of 5x? if x = -3.
Answer:
-15
Step-by-step explanation:
5 * -3 = -15
x = -3
5x = 5(-3)
5(-3) = -15
What is the output of a function when tha input is -9
Answer: f(-9)
Step-by-step explanation:
A function is described in the form of f(x)
Therefore, if this is how a function is stated we have x as the input.
Here, the x is equal to -9
So now:
f(-9) after substitution.
simplify 4 whole 2/7 + 5/7
Answer:
1
Step-by-step explanation:
2/7+5/7=7/7=1 because 7/7 would be a 1 whole
Answer:
35/7
Step-by-step explanation:
4 = 28/7
28/7 + 2/7 + 5/7 = 35/7
Mathew basketball team won 68% of the games they played if they won 17 games how many did they play
Answer:
25
Step-by-step explanation:
turn 68% into a decimal (or keep as a percentage, your choice) and divide
17 divided by 0.68 (68% as a decimal) = 25
Need help with this 3 questions
Answer:
68. (-1, 0)
69. (0, 2)
70. (2, -1)
Step-by-step explanation:
The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.
The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.
68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.
(x, y) = (-2, 0)
__
69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.
(x, y) = (0, 2)
__
70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.
(x, y) = (2, -1)
_____
It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.
What is the equation of this line?
A. y= x - 3 =
B. y=-x-3 =
C. y= -2x - 3
D. y=2x-3 - - 3
Solve for x: 49.98+12x=61.98+7x
Answer:
X=2.436
Step-by-step explanation:
The question in the image! Please hurry :D
Answer:
8.85 * 10 ^17
Step-by-step explanation:
8.2 * 10 ^17 + 6.5 * 10 ^16
They must be to the same power to add
8.2 * 10 ^17 + .65 * 10 ^17
Add
8.85 * 10 ^17
PLEASE HELP !!! PICS DOWN BELOW
Answer:
262.25 $
Step-by-step explanation:
Simplify square root of negative 64
Answer:
8 i
Step-by-step explanation:
Answer:
8 i
Step-by-step explanation:
for sure not 8 because i got it wrong on the test
Evaluate 4 + 2(x + 6)2 for x = -3. A. 18 B. 12 C. 22 D. 54
B
dont trust me on this i solved it but i got a completely different answer which is not on the list. I got 6 as the answer.
ILL MARK BRAINLIEST HELP PLS
Answer:
Step 1, do math:
-13.6 >= 1.7x
-8 >= x
answer: C
Determine f –1(x) if f of x is equal to the quantity x plus 3 end quantity over the quantity x minus 4 end quantity where x 4.
f inverse of x is equal to the quantity x minus 1 end quantity over the quantity 4 times x plus 3 end quantity
f inverse of x is equal to the quantity 4 times x plus 3 end quantity over the quantity x minus 1 end quantity
f inverse of x is equal to the quantity x minus 4 end quantity over the quantity x plus 3 end quantity
f inverse of x is equal to the quantity x minus 3 end quantity over the quantity x plus 4 end quantity
Answer:
Option BStep-by-step explanation:
Given function:
f(x) = (x + 3)/(x - 4)Find its inverse, take f(x) as y and swap x with y
x = (y + 3)/(y - 4)x = (y - 4 + 7) / (y - 4)x = 1 + 7/(y - 4)x - 1 = 7 / (y - 4)y - 4 = 7 / (x - 1)y = 4 + 7 / (x - 1)y = (4x - 4 + 7)/ (x - 1)y = (4x + 3) / (x - 1)Replace y with f⁻¹(x):
f⁻¹(x) = (4x + 3) / (x - 1)Correct choice is B
A x is equal to the quantity x plus 3 end quantity over the quantity x minus 4 end quantity where x 4. at x = 0.5, the inverse function f²(-1)(x) f²(-1)(x) = 0.5
To determine the inverse of the function f(x) = (x + 3) / (x - 4), to follow these steps:
Replace f(x) with -1, since you're looking for the inverse at the point where f(x) = -1:
-1 = (x + 3) / (x - 4)
Solve for x in terms of -1:
Multiply both sides by (x - 4):
-1 ×(x - 4) = x + 3
Distribute the -1:
-x + 4 = x + 3
Solve for x:
Subtract x from both sides:
4 = 2x + 3
Subtract 3 from both sides:
1 = 2x
Divide by 2:
x = 0.5
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Find the volume of the following square pyramid.
Check the picture below.
[tex]\textit{volume of a pyramid}\\ V = \cfrac{Bh}{3}~~ \begin{cases} B = \stackrel{\textit{area of its base}}{50\times 50}\\ h = \stackrel{\textit{its height}}{60} \end{cases}\qquad \implies V = \cfrac{50\cdot 50\cdot 60}{3}\implies \boxed{V= 50000}[/tex]
help asap whoever right get brainiest
Answer:
EF
Step-by-step explanation:
I think the answer is EF because turning the line counterclockwise and 80 degree angle would be that.
Write the equation of the line that passes through the points (8,3) and (7,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Step-by-step explanation:
the equation :
(y-3)/(3-3) = (x-8) /(7-8)
(y-3) /0 = (x-8) /(-1)
(-1)(y-3) = 0(x-8)
-y +3 = 0
y = 3
(this is a horizontal line)
Answer:
y = 3 (Horizontal line)
Step-by-step explanation:
point: (8, 3) and (7, 3)
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 3)/(3 - 3) = (x - 8)/(7 - 8)
(y - 3)/0 = (x - 8)/(-1)
(-1)(y - 3) = 0
-y + 3 = 0
-y = - 3
y = 3 (Horizontal line)
Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?
Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.
Step-by-step explanation:
Find the value of the following expression:
(28 ⋅ 5−5 ⋅ 190)−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)
Write your answer in simplified form. Show all of your steps. (5 points)
Answer:
25
Step-by-step explanation:
Answer:
5^2 = 25
Step-by-step explanation:
Hello can someone help me please
9514 1404 393
Answer:
C(3, -2)
D(1, 7)
Step-by-step explanation:
It looks like your tool will do the rotation for you and give you the coordinates. The image(s) should look like the attached.
Zahara rides with her dad to her grandmother’s house. They travel 159 miles in 3 hours. Her uncle, Jorge, drives there separately from his home. a. At what speed does Zahara’s dad drive, in miles per hour? Draw a model to show your work.SOLUTION b. Jorge’s trip takes the same amount of time as Zahara’s, but he travels a shorter distance. Does Jorge drive faster or slower than Zahara’s dad?A store changes the cost of a package of batteries. Now customers pay more money for the same number of batteries. Did the cost per battery increase, decrease, or stay the same? Explain how you know. 3 4
