Answer:
Let p (x) = x + 1 / x = 2
= x + 1 = 2x
= 2x - x = 1
or, x = 1.
let g(x) = x^3 + 1/x^3
since, x = 1
therefore,
g (1) = (1)^3 +1 / (1)^3
= 1 + 1 / 1
= 2 / 1
= 2
So, the answer to your question is 2.
x + 1 / x = 2
x × ( x + 1 / x ) = x × 2
x + 1 = 2x
x - x + 1 = 2x - x
x = 1
_________________________________
x^3 + 1 / x^3 =
1^3 + 1 / 1^3 =
1 + 1 / 1 =
2 / 1 =
2
Ahmad made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $19.20. If the beads cost a total of , $12.80,how much did each pendant cost?
give brainliest
plsss help with these 2 questions
#1.
For this problem, we can use Pythagorean Theorem (a^2 + b^2 = c^2, where a and b are the legs, and c is the hypotenuse). We are given C, the hypotenuse, and A, a leg of the triangle in this problem.
9^2 + b^2 = 41^2
81 + b^2 = 1681
b^2 = 1600
b = 40 feet
#2.
We will again use Pythagorean Theorem. We are given the height and the length of a leg in this problem.
33^2 + b^2 = 65^2
1089 + b^2 = 4225
b^2 = 3136
b = 56 inches
Hope this helps!! :)
Marta is building a scale model of the Empire State building which has a rectangular base. The scale on the model is 1 inch = 35 feet. Her model is 4 inches in length and 1 inch in width. What is the actual area, in square feet, of the base of the building?
Answer: The actual area of the base of the building is 4900 square feet.
Step-by-step explanation:
We have given, the scale on the model: 1 inch = 35 feet
In model,
Length= 4 feet , Width = 1 inch
As per scale ,
Actual length = 4 x 35 feet
= 140 feet
Actual width = 35 feet
Area of base of the building = Length x width
= 140 x 35
= 4900 square feet
Hence, the actual area of the base of the building is 4900 square feet.
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
169.6 m³
Step-by-step explanation:
the volume = 3.14 × 3² × 6
= 3.14 × 54 = 169.6 m³
Solve the expression for a=12 , b=6 and c=3
Answer: 24
Step-by-step explanation: First, you fill in the values for each letter; replace any a with 12, replace any b with 6, and replace any c with 3. Then, enter the equation into the calculator like so, and it should be equal to 24.
I hope this helps. Have a nice day.
V = 4p2
Find V when p = 3
Given = V= 4p²
and P= 3
V= 4×3²
V= 36.
yh
so
there is another answer, it is above me
Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from the drop-down menus to correctly complete the statements. Circle Q is Choose... units to the Choose... of circle P and Choose... units Choose..Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from the drop-down menus to correctly complete the statements. Circle Q is Choose... units to the Choose... of circle P and Choose... units Choose... it. Circle Q has Choose... circle P.. it. Circle Q has Choose... circle P.
Answer:
(a) Circle Q is 9.4 units to the center of circle P
(b) Circle Q has a smaller radius
Step-by-step explanation:
Given
[tex]P:(x - 1)^2 + (y + 6)^2 = 9[/tex]
[tex]Q:(x + 4)^2 + (y + 14)^2 = 4[/tex]
Solving (a): The distance between both
The equation of a circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]Center: (h,k)[/tex]
[tex]Radius:r[/tex]
P and Q can be rewritten as:
[tex]P:(x - 1)^2 + (y + 6)^2 = 3^2[/tex]
[tex]Q:(x + 4)^2 + (y + 14)^2 = 2^2[/tex]
So, for P:
[tex]Center = (1,-6)[/tex]
[tex]r = 3[/tex]
For Q:
[tex]Center = (-4,-14)[/tex]
[tex]r = 2[/tex]
The distance between them is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
Where:
[tex]Center = (1,-6)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]Center = (-4,-14)[/tex] --- [tex](x_2,y_2)[/tex]
So:
[tex]d = \sqrt{(1 - -4)^2 + (-6 - -14)^2[/tex]
[tex]d = \sqrt{(5)^2 + (8)^2[/tex]
[tex]d = \sqrt{25 + 64[/tex]
[tex]d = \sqrt{89[/tex]
[tex]d = 9.4[/tex]
Solving (b): The radius;
In (a), we have:
[tex]r = 3[/tex] --- circle P
[tex]r = 2[/tex] --- circle Q
By comparison
[tex]2 < 3[/tex]
Hence, circle Q has a smaller radius
2. One important factor in inventory control is the variance of the daily demand for a product. Management believes that demand is normally distributed with the variance equal to 250. In an experiment to test this belief about , the daily demand was recorded for 25 days. The data has been summarized as follows: xbar = 50.6 and s2 = 500 Do the data provide sufficient evidence to show that management's belief about the variance is untrue? (Use alpa=0.01 ).
Answer:
we reject H0 and conclude that management's belief about variance is untrue.
Step-by-step explanation:
H0 : σ² = 250
H1 : σ² ≠ 250
Sample size, n = 25
xbar = 50.6 ; s² = 500
α = 0.01 ;
The test statistic :
χ² = [(n - 1)s²] ÷ σ²
χ² = [(25 - 1)* 500] ÷ 250
χ² = (24 * 500) / 250
χ² = 12000 / 250
χ² = 48
The critical value:
df = n-1 ; 25 - 1 = 24
χ²(0.01/2 ; 24) = 45.559
Decison :
Reject H0 : if |χ² statistic| > critical value
Since 48 > 45.559
Hemce, we reject H0 and conclude that management's belief about variance is untrue.
Find the value of y
Use the Function f(x)=6x-1 Which equation correctly describes f(b)?
a.) f(b)=6b-1
b.)= f(b)=6bx-1
c.)f(x)=6b-1
d.) b=6x-1
Answer:
a
Step-by-step explanation:
To obtain f(b) substitute x = b into f(x) , that is
f(b) = 6(b) - 1 = 6b - 1
f(x) and f(b) are very similar. The only difference is that in every place where x is in the function, we now will plug in b. This is just like plugging in a number. For example, if our function was f(x) and we had to plug in 4, it might look something like this: f(4). Very similar, and we know how to plug that number in.
Let's do the same thing with b.
f(x) = 6x - 1
f(b) = 6b - 1
Hope this helps!! :)
please help asap, i need to get this done
Answer:
25.5 = c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
17^2 + 19 ^2 = c^2
289+361 = c^2
650 = c^2
Take the square root of each side
sqrt(650) = sqrt(c^2)
25.49509757=c
To the nearest tenth
25.5 = c
Answer:
C = 25.5
Step-by-step explanation:
17² + 19² = x²
289 + 361 = x
289 + 361 = 650
√650 = 25.495097567963924150141120545114
25.495097567963924150141120545114 ≅ 25.5
Expand and combine like terms.
(6y^2+ 5y^4)^2
Answer:
36y⁴ + 60y⁶ + 25y⁸
Step-by-step explanation:
(6y² + 5y⁴)² = (6y² + 5y⁴)(6y² + 5y⁴)
we can use the FOIL method to get:
36y⁴ + 30y⁶ + 30y⁶ + 25y⁸
we can simplify the two middle terms and get:
36y⁴ + 60y⁶ + 25y⁸
Answer:
[tex]\left(6y^2+5y^4\right)^2[/tex]
[tex](6y^2+5y^4)^2=36y^4+60y^6+25y^8[/tex]
[tex]=\left(25y^8+60y^6+36y^4\right)[/tex]
[tex]=\left(36y^4+60y^6+25y^8\right)[/tex]
[tex]=36y^4+60y^6+25y^8[/tex]
---------------------------
hope it helps...
have a great day!!
the height in feet above the ground of an arrow after it is shot can be modeled by y=-16r^2+63r+4.Can the arrow pass over a tree that is 68 feet tall? Explain.
Answer:
yes
Step-by-step explanation:
y=-16r^2+63r+4
maximum value of y :
y'=0
-32r +63=0
r= 63/32
y = -16(63/32)²+63(63/32)+4
= -4 + 124 + 4 = 124 ft
124 > 68
the Arrow can pass over the tree
I need help on this one 2 pls !?
Answer: The answer is 60 mi^2
Step-by-step explanation:
what is the volume of a cube if the length, width, and height are 1ft?
a)6 cubic feet
b)3 cubic feet
c)4 cubic feet
d) 1 cubic foot
Answer:
The answer is D. 1 cubic foot.
Step-by-step explanation:
To solve for the volume of a cube, use the formula V= [tex]a^{3}[/tex]. This is the formula because the volume of a cube formula equals length times width times height. Since the length, width, and height are all the same values, the simplest volume of a cube formula is [tex]a^{3}[/tex].
Next, plug in the information from the question into the formula, which will look like V= [tex]1^{3}[/tex]. Then, solve the equation, and the final answer will be 1 cubic foot.
HELP ME!! First to answer gets brainiest!!!
Answer:
11 1/5 minutes
Step-by-step explanation:
All you have to do is add up all the songs together.
3 1/2 = 3 30/60
2 57/60= 2 57/60
4 3/4 = 4 45/60
Add this all up
9 132/60
11 12/60
11 1/5
11 1/5 minutes
If this helps please mark as brainliest
I need help! Will give Brainliest to right answer!
Answer:
(0,-7)
Step-by-step explanation:
a^2+B+c
c= y intercept.
therefore the answer is (0,-7)
Answer:
the y intersept is (0,-7)
Step-by-step explanation:
The value of a company's equipment is $35,000
and decreases at a rate of 6% per year. Write a
function to model this situation, then find the value
of the company's equipment after 3 years.
Answer:
35000(.94)ˣ
29070.44
Step-by-step explanation:
Function:
35000(.94)ˣ (where x= years)
35000(.94)³=29070.44
You roll two six-sided dice. What is the probability that the sum will be even or a multiple of five? Round your answer to the nearest tenth of a percent.
Answer:
0.51
Step-by-step explanation:
HelPpPPPpPp
(just send a comment if you want me to mak it larger)
Who would I solve this?
F(x)=3x^2+2 the quadratic function g(x) is the function f(x) stretched vertically by a factor of 4. Enter the equation of g(x) in the box
Answer:
g(x) = 12*x^2 + 8
Step-by-step explanation:
For a function f(x), a vertical stretch of scale factor k is defined as:
g(x) = k*f(x)
In this case, we know that f(x) = 3*x^2 + 2
And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4
and:
g(x) = 4*f(x)
Replacing by the actual function, we get
g(x) = 4*(3*x^2 + 2)
g(x) = 4*3*x^2 + 4*2
g(x) = 12*x^2 + 8
The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently
Answer:
I only know this much.....
A) Deepthi has won the election.
B) Rashmi got minimum number of votes.
What are the possible vaules of x it (4x-5)2=49?
[tex]\boxed{The\:value\:of\:x\:is\:7.375.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375[/tex]
Therefore, the value of x is 7.375.
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex](4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verifed.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students
Answer:
4/141
Step-by-step explanation:
simplify 20/705
Answer:
4/141
Step-by-step explanation:
Please help me I have no idea how to solve!
Polynomial puzzle
Fill in the blank to complete the polynomial puzzle. Remember to ADD across to the right and ADD down to the bottom.
Step-by-step explanation:
It says add across to the right and add down bottom
Add across
[tex]3x[/tex] [tex]2x^2[/tex] [tex]3x +2x^2[/tex]
[tex]x^2[/tex] [tex]5x[/tex] [tex]x^2 + 5x[/tex]
Add down [tex]3x + x^2[/tex] [tex]2x^2 +5x[/tex] [tex]3x^2 +8x[/tex]
Overnight the temperature in Chicago was -7F but by noon it had risen to 9 degrees F. What was the temperature in Chicago that afternoon?
Answer:
2 °F
Step-by-step explanation:
Overnight temperature = -7 °F
Total Noon temperature = 9 °F
What was the temperature in Chicago that afternoon?
Temperature in Chicago that afternoon = Total Noon temperature + Overnight temperature
= 9 °F + (-7 °F)
= 9 °F - 7 °F
= 2 °F
Temperature in Chicago that afternoon = 2 °F
HURRYYYY PLEASE!!! Does the graph of this equation open up or down?
f(x) = 22
- 5
O up
O down
Answer: Down
Step-by-step explanation:
down nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Four students are painting a wall mural for their school.Each student paints 5/7 square yard of wall space.What is the total area of the wall mural that is being painted(ASAP PLEASE)
Need help !! Slove for c