Work Shown:
I'm assuming you meant to write 4p^3+8p^2+3p+6
If so, then we would have these steps
4p^3+8p^2+3p+6
(4p^3+8p^2)+(3p+6)
4p^2(p+2)+3(p+2)
(4p^2+3)(p+2)
The table represents a function
Which value is an output of the function?
46
f(x)
-2
-6
8
07
7
3
4
1-5
3
-2
-5
12
Answer:
Option (2)
Step-by-step explanation:
From the table attached.
First column is representing the x-values (input values) and second column is representing the value of the function (output values).
For x = -6,
f(x) = 8
For x = 7,
f(x) = 3
For x = 4,
f(x) = -5
For x = 3,
f(x) = -2
For x = -5,
f(x) = 12
Therefore, f(x) = -2 is one of the output values.
Option (2) will be the correct option.
The value that is an output of the function among the options is -2.
What is the output of a function?A function relates an input to an output.
A function relates each element of a set with exactly one element of another set.
Therefore, the output are the dependent variable. They are also called range.
Generally, they are regarded as range, output or dependent variables.
Therefore, the output of the table is f(x) values which includes the following:
83-5-2-12Hence, the output of the function in the option is -2.
learn more on functions here: https://brainly.com/question/26608835
Katie approximated the volume and the surface area for a ball she was using for some exercises by assuming the ball is a sphere. She was surprised when the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. What is the radius of the ball?
Answer:
3
Step-by-step explanation:
Volume of sphere:
4/3 * pi * r^3
Surface Area of Sphere:
4 * pi * r^2
So if V = SA
4/3 * pi * r^3 = 4 * pi * r^2
4/3 * pi * r^3 = 4 * pi * r^2
1/3 * r^3 = r^2
1/3 * r = 1
r = 3
Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
V = (4/3)πR³
The surface area of the sphere is given by the formula,
Surface area = 4πR²
Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,
(4/3)πR³ = 4πR²
R³/3 = R²
R = 3
Hence, the radius of the ball is equal to 3 units.
Learn more about Volume:
https://brainly.com/question/13338592
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Help please
……………………..
Answer:
b ≈ 48.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin b = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{12}[/tex] , then
b = [tex]sin^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 48.6° ( to 1 dec. place )
❊ Simplify :
[tex] \large{ \bf{ \frac{x - 1}{ {x}^{2} - 3x + 2} + \frac{x - 2}{ {x}^{2} - 5x + 6 } + \frac{x - 5}{ {x}^{2} - 8x + 15 } }}[/tex]
[tex] \large{ \tt{ans : \bf{ \frac{3x - 7}{(x - 2)(x - 3)} }}}[/tex]
- Show your workings *
- Irrelevant / Random answers will be reported!
[tex]\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } [/tex]
[tex]\rule{200}4[/tex]
[tex]\sf\longrightarrow \small \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) } \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5) } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3} \\\\\\\sf\longrightarrow \small \dfrac{1}{x-2} +\dfrac{2}{x-3} \\\\\\\sf\longrightarrow \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) } \\\\\\\sf\longrightarrow \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) } \\\\\\\sf\longrightarrow \underset{\blue{\sf Required \ Answer }}{\underbrace{\boxed{\pink{\frak{ \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}[/tex]
[tex]\rule{200}4[/tex]
Answer:
Your solution ..................
The Morris family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 4 beds, 2 desks, and 1 dresser to select from. How many different furniture sets could they select?
Answer:
8 possibilities.
Step-by-step explanation:
There are many combinations. Instead of drawing out a chart and going through every single possibility, deleting the recurring ones, and recounting again, you need to multiply.
Since there are four beds and a dresser, obviously, there can only be four combinations to choose from. The Morris family can choose bed A with the drawer, bed B with the drawer, bed C with the drawer, or bed D with the drawer. All of these possibilities contain the same drawer, so it's pretty straightforward: only four combinations. This is 4 x 1.
Next, the family needs to choose between the two desks. They can choose bed A with desk A, bed A with desk B, bed B with desk A, bed B with desk B... and so on. Therefore, there will be four combinations of beds with desk A, and four combinations of beds with desk B. 4 + 4 = 8. Or, we could simply multiply the four beds by the two desks: 4 x 2 = 8. Both equations supply the same answer.
All in all, we need to multiply the number of choices together to get the total number of combinations. That's 4 x 2 x 1, which is 8.
Simplify
a)78.5÷3.14
b)56.272×41.2
c)4 4/7÷5 1/3
I need step by step explanation pls
Answer:
[tex]78.5 \div 3.14 \\ = 25 \\ \\ 56.272 \times 41.2 \\ = 2318.4067 \\ \\ 44 \div 7 \div 51 \div 3 \\ = 0.04[/tex]
Two dogs run around a circular track 300 m long. One dog runs at a steady rate of 15m per second, the other at a steady rate of 12 m per second. Suppose they'd tart at the same point and time. What is the least number of seconds that will elapse before they are again together at the starting point?
Answer:
300 seconds
Step-by-step explanation:
The first dog run at v₁ = 15 m/sec the second one run at v₂ = 12 m/sec
we know that d = v*t then t = d/v
Then the first dog will take 300/ 12 = 25 seconds to make a turn
The second will take 300 / 15 = 20 seconds to make a turn
Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.
To check first dog 12 * 25 = 300
And the second dog 15 * 20 = 300
That means that time required for the two dogs to be at the start point together is
300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.
Another procedure to solve this problem is as follows:
between 12 m/sec and 15 m/sec the minimum common multiple is 300 ( 300 is the smaller number that accept 12 and 15 as factors 12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point
How do you graph this ,helppppppppp
Find the perimeter of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
Given:
The vertices of a quadrilateral ABCD are A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
To find:
The perimeter of quadrilateral ABCD.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get
[tex]AB=\sqrt{(4-0)^2+(1-4)^2}[/tex]
[tex]AB=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]AB=\sqrt{16+9}[/tex]
[tex]AB=\sqrt{25}[/tex]
[tex]AB=5[/tex]
Similarly,
[tex]BC=\sqrt{(1-4)^2+(-3-1)^2}[/tex]
[tex]BC=5[/tex]
[tex]CD=\sqrt{(-3-1)^2+(0-(-3))^2}[/tex]
[tex]CD=5[/tex]
And,
[tex]AD=\sqrt{(-3-0)^2+(0-4)^2}[/tex]
[tex]AD=5[/tex]
Now, the perimeter of the quadrilateral ABCD is:
[tex]P=AB+BC+CD+AD[/tex]
[tex]P=5+5+5+5[/tex]
[tex]P=20[/tex]
Therefore, the perimeter of the quadrilateral ABCD is 20 units.
what is the value of x?
Answer:
x°=70°{ vertically opposite angle are equal}hope it helps.stay safe healthy and happy..We know that,
Vertically opposite angles are equal,
So, x° = 70°
=> x = 70
find second derivation for function f(x)=x²-(2/x)
Hi there!
[tex]\large\boxed{f''(x) = 2 - \frac{4}{x^{3}}}[/tex]
[tex]f(x) = x^2 - \frac{2}{x}[/tex]
Recall the power rule:
[tex]\frac{dy}{dx} x^n = nx^{n-1}[/tex]
Rewrite the function for ease of differentiation:
[tex]f(x) =x^2 - 2x^{-1}[/tex]
Use the power rule:
[tex]f'(x) = 2x + 2x^{-2}[/tex]
Take the derivative once more:
[tex]f''(x) = 2 - 4x^{-3}[/tex]
Rewrite:
[tex]f''(x) = 2 - \frac{4}{x^{3}}[/tex]
a square number and a multiple of 3 have a total of 90 what r the 2 numbers
Hello,
Let's x² the square number
and 3*y the multiple of 3.
[tex]x^2+3y=90\\\\\boxed{y=-\dfrac{1}{3} x^2+30}\\\\[/tex]
2 solutions : for (x,y) as integers : (-6,18) and (6,18)
but one solution for (x²,3y) as integers : (36,54)
solve for x. round to the nearest tenth,if neccessary.
Answer:
94.8
Step-by-step explanation:
sin 45 = 67/x
x = 67/sin 45
x = 94.8
What is the equation of the line that is parallel to y = 6x – 1 and passes through the point (-3, 4)?
The equation will be in slope-intercept form.
Answer:
y = 6x + 22
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 1 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes, then
y = 6x + c ← is the partial equation
To find c substitute (- 3, 4 ) into the partial equation
4 = - 18 + c ⇒ c = 4 + 18 = 22
y = 6x + 22 ← equation of parallel line
What is the decimal equivalent of
9
22
?
A line with a slope of 3 passes through the point (-1, 2).
Write an equation for this line in point-slope form.
Answer:
Step-by-step explanation:
Slope = m = 3
(x₁ , y₁) = (-1 , 2)
Point slope form: y - y₁ = m(x - x₁)
y - 2 = 3(x - [-1] )
y - 2 = 3(x + 1)
y - 2 = 3*x + 3*1
y - 2 = 3x + 3
y = 3x + 3 + 2
y = 3x + 5
3√75
simplest rationalizing factor
PLEASE DO ANSWER ONLY IF YOU KNOW IT
Answer:
the square root of 75 is 8.6
and 8.6 times 3 is
the answer is 25.8
Hope This Helps!!!
Which of the following are remote interior angles of _1? Check all that apply.
u A. 25
I B. 26
III C. 21
D. 24
E. 23
F. 22
Answer:
angle 3
angle 2
Step-by-step explanation:
Mathematically, from the angle sum theorem of triangles, the sum of two opposite interior angles of a triangle equals the exterior angle on the third side
Now, for angle 1, it is an exterior angle for angle 4
The two other opposite interior angles that would make angle 1 is simply angles 3 and 2
A daycare center operator wanted to survey her parents to determine if they were interested in the center providing once-a-month Saturday night care for their children. Rather than survey all 254 parents, the operator took the list of parents' names and, starting with the third parent's name, surveyed every twelfth parent. What type of sampling did the daycare operator use
Answer:
Systematic Sampling
Step-by-step explanation:
According to the Question,
systematic sampling is a statistical method involving the selection of elements from an ordered sampling frame. The most common form of systematic sampling is an equiprobability method. In this approach, progression through the list is treated circularly, with a return to the top once the end of the list is passed. The sampling starts by selecting an element from the list at random and then every Kth element in the frame is selected.So, systematic sampling is right Answer.
Answer:
Systematic Sampling
Step-by-step explanation:
What type of sampling did the daycare operator use Systematic Sampling.
Dave and Ellen are newly married and living in their first house. The yearly premium on their homeowner's insurance policy is $450 for the coverage they need. Their insurance company offers a 5 percent discount if they install dead-bolt locks on all exterior doors. The couple can also receive a 2 percent discount if they install smoke detectors on each floor. They have contacted a locksmith, who will provide and install dead-bolt locks on the two exterior doors for $50 each. At the local hardware store, smoke detectors cost $7 each, and the new house has two floors. Dave and Ellen can install them themselves.
Answer:
A. 4.44years
B. 1.5years
C. Yes
Step-by-step explanation:
a. Calculation to determine how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts
First step is to determine the Annual discount for dead-bolts using this formula
Annual discount for dead-bolts=Discount percent × Annual premium
Let plug in the formula
Annual discount for dead-bolts=0.05 × $450
Annual discount for dead-bolts=$22.50
Now let determine the Recovery period using this formula
Recovery period=Cost of dead-bolts / Annual discount for dead-bolts
Let plug in the formula
Recovery period= (2 × $50)/ $22.50
Recovery period=$100/$22.50
Recovery period= 4.44years
Therefore Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts will be 4.44years
b. Calculation to determine How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors
First step is to calculate the Annual discount for smoke alarms using this formula
Annual discount for smoke alarms=Discount percent × Annual premium
Let plug in the formula
Annual discount for smoke alarms=0.02 × $450
Annual discount for smoke alarms=$9.00
Now let determine the Recovery period using this formula
Recovery period=Cost of smoke alarms / Annual discount for smoke alarms
Let plug in the formula
Recovery period=(2 × $7) / $9.00
Recovery period=$14/$9.00
Recovery period= 1.5 years
Therefore How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors will be 1.5years
C. YES, Based on the information I WOULD recommend Dave and Ellen to invest in the SAFETY ITEMS, if they plan to stay in that house for about 5 years reason been that a home that is equipped with HOME SAFETY ITEMS can help to prevent UNFORESEEABLE ACCIDENTS that may occur, which is why SAFETY ITEMS is vital for every home regardless of the recovery period.
the maximum mark of 30 student is 100. if its range is 75, find the minimum mark and coefficient of range.
Answer:
3000 ................,...
The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?
The coordinates of endpoint B are?
the coordinates of endpoint B are (7,7)
Answer:
Solution given:
M(x,y)=(2,-1)
A[tex](x_{1},y_{1})=(-3,5)[/tex]
Let
B[tex](x_{2},y_{2})=(a,b)[/tex]
now
by using mid point formula
x=[tex]\frac{x_{1}+x_{2}}{2}[/tex]
$ubstituting value
2*2=-3+a
a=4+3
a=7
again
y=[tex]\frac{y_{1}+y_{2}}{2}[/tex]
$ubstituting value
-1*2=5-b
b=5+2
b=7
the coordinates of endpoint B are (7,7)
Solve the following
(23-45)+(93÷6)×23
In one week, Alex worked 35 hours at $ 12.50 per hour plus 5 hours overtime at 'time and half'. How much would Alex have earned for the week? *
Which of the following sampling methods are biased?
systematic random sample
voluntary response sample
convenience sample
simple random sample
Answer:
- voluntary response sample
- convenience sample
Step-by-step explanation:
Any method of sampling can be biased depending on how they are cared out; however, both voluntary response and convenience are almost always biased. This is because in both the sample is not controlled. In voluntary response, there is no way to ensure that the sample will be representative of everyone since it is based on volunteers. Convenience is also biased because the sample is skewed towards whatever is convenient not what is fair and representative.
The distance traveled (in meters) by a frog is modeled by the equation d=2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes.
Given,
d = 2t
here, t = 25
Therefore,
d = 2*25
= 50m
What is dummy variable? Explain interaction effects using dummy variables? Explain Autoregressive Conditional Heteroskedasticity (ARCH) and Generalized Autoregressive Conditional Heteroskedasticity (GARH) models. What to do when find problem of Autocorrelation?
Answer:
u here then today the thats yjvfh dfnrugevc5hdb
Solve for x.
-9x + 7 < 25
I don't know I don't know I don't know I don't know I don't know I don't know I don't know
A television screen measures 35 cm wide and 26 cm high. What is the diagonal measure of the screen?
Answer:
43.6 (approximately)
Step-by-step explanation:
Diagonal measures of the screen is,
√(35²+26²)
= √(1901)
= 43.6 (approximately)
Answered by GAUTHMATH
We calculate the dioglonal using the Pythagorean theorem
[tex]\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}[/tex]
In 25 words or fewer, is this solution reasonable? Why or why not?
Step-by-step explanation:
This solution is reasonable because equal slopes are parallel and negative reciprocals are perpendicular. Four right angles make up a rectangle, and this fulfills it
