Answer:
For this case a polynomial is defined with the following expression:
[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite
And by definition the absolute value function is defined as:
[tex] |x|= x, x \geq 0[/tex]
[tex] |x| =-x , x<0[/tex]
If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:
An absolute value function CANNOT be considered as a polynomial function
Step-by-step explanation:
For this case a polynomial is defined with the following expression:
[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite
And by definition the absolute value function is defined as:
[tex] |x|= x, x \geq 0[/tex]
[tex] |x| =-x , x<0[/tex]
If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:
An absolute value function CANNOT be considered as a polynomial function
If a line is perpendicular to each of two intersecting lines at their point of intersection, then the line:
A. not enough information
B. is parallel to the plane determined by the two lines
C. coincides with the plane determined by the two lines
D. is perpendicular to the plane determined by the two lines
D. The line is perpendicular to the plane determined by the two lines.
Remember how you get to 3D space?
You take one axis called x and perpendicularly intersect it with y axis and you get a 2D plane. Now take a 2D plane and perpendicularly intersect it with an axis z and you get 3D euclidean space.
Hope this helps.
if you drop a tennis ball from the height of 100in and the rebound is 58in what is the height on the 10th bounce?
Answer:
0.431 inches
Step-by-step explanation:
We were given the following values:
Height the tennis ball was dropped = 100in
Rebound height = 58in
We have to find the rebound ratio
= 58in/100in = 0.58
The formula to be used
Height on nth bounce = Initial height × (Rebound ratio)ⁿ
Where n = number of bounce
Height on the 10th bounce = 100 × (0.58)^10
Height on the 10th bounce = 0.4308042069inches
Approximately, the height on the 10th bounce = 0.431 inches.
PLSSS HELP
Kenny and Michael have scored points during a basketball game. Kenny has scored 131313 points, and Michael has scored ppp points. Together they have scored a total of 272727 points. Select the equation that matches this situation. Choose 1 answer:
Choose 1 answer:
(Choice A)
A
13 + p = 2713+p=2713, plus, p, equals, 27
(Choice B)
B
13 = p + 2713=p+2713, equals, p, plus, 27
(Choice C)
C
13 - p = 2713−p=2713, minus, p, equals, 27
Answer:
A
Step-by-step explanation:
Kenny scored 13 points, and Micheal scored p points. They scored a total of 27 points. This means that 27 is the sum of their scores. The answer is A.
13 + p = 27
Answer:
It’s b or it’s 13+p=27
Step-by-step explanation:
The number of representatives of a multi-level marketing company as a function of the number of days that have passed can be modelled by the exponential function R(d). About how many representatives does the company have after 75 days have passed if R(d) =150(1.03)^d
Answer:
About 1377 representatives.Step-by-step explanation:
If the number of representatives of a multi-level marketing company as a function of the number of days that have passed can be modeled by the exponential function R(d) = 150(1.03)^d, to calculate the number of representatives that the company have after 75 days, we will substitute d = 75 into the modeled equation.
R(75) = 150(1.03)^75
R(75) = 150*9.1789
R(75) = 1,376.835
Hence, the company have about 1377 representatives after 75 days.
If the blue radius below is perpendicular to the green chord and the segment
AB is 8.5 units long, what is the length of the chord?
A
A. 8.5 units
8.5
B
O B. 17 units
O C. 34 units
O D. 4.25 units
Answer:
O B. 17 units
Step-by-step explanation:
The chord is AC and the radius of the circle is perpendicular to the chord at B. AB = 8.5 units. According to the perpendicular bisector theorem, if the radius of a circle is perpendicular to a chord then the radius bisects the chord. This means that chord AC is bisected by the radius of the circle at point B. The length of the circle is calculated using:
[tex]AB=\frac{AC}{2}\\ AC=2*AB\\cross multiplying:\\AC = 2*8.5\ units\\AC = 17 \ units[/tex]
The length of the chord is 17 units.
Answer:
The answer is 17 units :D
Step-by-step explanation:
find the value of the letter in each of the following and give reasons for the steps involved 1 2 A+6 A B=A 0 9
Question:
Find the value of the letter in each of the following and give reasons for the steps involved:
1 2 A
+ 6 A B =
A 0 9
Answer:
128 + 681 = 809
Step-by-step explanation:
Here, let's use the general form of numbers where any letter must represent one value and each digit must be represented by just one letter.
Take the following:
A = 8
B = 1
Thus, A +B = 8 + 1 = 9
Also add:
8 + 2 = 10
In general form, tens digit is zero and the 1 is carried over.
I.e, A = 1 + 6 + 1 = 8
We can now see that,
A = 8
B = 1
Therefore,
1 2 A
+ 6 A B =
A 0 9
Will be written as:
128 + 681 = 809
This is really confusing I need help with this.
Answer:
Step-by-step explanation:
can you at least telllus what is in the drop box
[tex]4^{3/4} * 2^{x} =16^{2/5}[/tex]
Answer:
[tex]\sf x=\frac{1}{10}[/tex]
Step-by-step explanation:
Rewrite expression with bases of 4.
[tex]\sf{4^{\frac{3}{4} }} \times \sf({4^\frac{1}{2} )^x =(4^2)^{\frac{2}{5} }[/tex]
Apply law of exponents, when bases are same for exponents in multiplication, add the exponents. When a base with an exponent has a whole exponent, then multiply the two exponents.
[tex]\sf{4^{\frac{3}{4} }} \times \sf{4^{\frac{1}{2} x}=4^{\frac{4}{5} }[/tex]
[tex]\sf{4^{\frac{3}{4} +\frac{1}{2} x}=4^{\frac{4}{5} }[/tex]
Cancel same bases.
[tex]\sf \frac{3}{4} +\frac{1}{2} x=\frac{4}{5}[/tex]
Subtract 3/4 from both sides.
[tex]\sf \frac{1}{2} x=\frac{1}{20}[/tex]
Multiply both sides by 2.
[tex]\sf x=\frac{1}{10}[/tex]
Step-by-step explanation:
2^{2*3/4} × 2^{x}=2^{4×2/5}
2^{3/2} × 2^{x}= 2^{8/5}
2^{3/2+x}=2^{8/5}
equate powers
{3+2x}/2= 2^2
5{3+2x}= 2{8}
15+10x=16
collect like terms
10x=16-15
10x=1
divide both sides by 10
x=1/10
x=0.1
Now use technology and use the cumulative probability 0.95, the mean muequals10.5, and the standard deviation sigmaequals4.10 to determine the value for x0, rounding to one decimal place.
Answer:
18.5
Step-by-step explanation:
In the above question, we are given the following values
Cumulative probability ( confidence interval) = 0.95 = 95%
Mean = 10.5
Standard deviation = 4.10
We are asked to find the value of x.
To solve for x , we would be using the z score formula.
z score = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation
z score was not given in the question, but we have our cumulative probability as 95%(0.95).
Using the appropriate table,
the z score for 95% confidence is z = 1.96.
Therefore,
z score = (x-μ)/σ,
1.96 = x - 10.5/4.10
Cross multiply
1.96×4.10 = x - 10.5
x = (1.96 × 4.10) + 10.5
x = 8.036 + 10.5
x = 18.536
Approximately to 1 decimal place
x = 18.5
11. John has a life insurance policy that will pay his family $32,000 per year if he dies. If interest rates are at 2.5% when the insurance company has to pay, what is the amount of the lump sum that the insurance company must put into a bank account?
Answer:
$1280000
Step-by-step explanation:
Given that :
John has a life insurance policy that will pay his family $32,000 per year if he dies
If interest rates are at 2.5% when the insurance company has to pay
The amount of the lump sum that the insurance company must out into a bank account can be determined by the division of the amount to be paid by the interest rate.
i.e
the amount of the lump sum = $32000/2.5%
the amount of the lump sum = $32000/0.025
the amount of the lump sum = $1280000
Find volume of cylinder if its
radius
height
5.5m and
height 9 m?
Answer:
855.298 m^3
Step-by-step explanation:
The volume of a cylinder equation is piR^2H.
So pi5.5^2×9
855.298 m^3
Determine how many litres of water will fit inside the following container. Round answer and all calculations to the nearest whole number.
Answer:
[tex]\approx[/tex] 11 litres of water will fit inside the container.
Step-by-step explanation:
As per the given figure, we have a container formed with combination of a right angled cone placed at the top of a right cylinder.
Given:
Height of cylinder, [tex]h_1[/tex] = 15 cm
Diameter of cylinder/ cone, D = 26 cm
Slant height of cone, l = 20 cm
Here, we need to find the volume of container.[tex]\\Volume_{Container} = Volume_{Cylinder}+Volume_{Cone}\\\Rightarrow Volume_{Container} = \pi r_1^2 h_1+\dfrac{1}{3}\pi r_2^2 h_2[/tex]
Here,
[tex]r_1=r_2 = \dfrac{Diameter}{2} = \dfrac{26}{2} =13\ cm[/tex]
To find the Height of Cylinder, we can use the following formula:
[tex]l^2 = r_2^2+h_2^2\\\Rightarrow h_2^2 = 20^2-13^2\\\Rightarrow h_2^2 = 400-169\\\Rightarrow h_2^2 = 231\\\Rightarrow h_2=15.2\ cm \approx 15\ cm[/tex]
Now, putting the values to find the volume of container:
[tex]Volume_{Container} = \pi \times 13^2 \times 15+\dfrac{1}{3}\pi \times 13^2 \times 15\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 15+\pi \times 13^2 \times 5\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 20\\\Rightarrow Volume_{Container} = 10613.2 \approx 10613\ cm^3[/tex]
Converting [tex]cm^{3 }[/tex] to litres:
[tex]10613 cm^3 = 10.613\ litres \approx 11\ litres[/tex]
[tex]\approx[/tex] 11 litres of water will fit inside the container.
I WILL GIVE BRAINLIEST!!!! A teacher is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71 *Round your answer to the nearest full value.
Answer:
153.586 close to 154 students
Step-by-step explanation:
mean=61
standard deviation =10
sample 450 students , x between 61 and 71
(x-mean)/deviation for score 61 and 71
61-61/10=0
71-61/10=1
the z-scores is between 0 and 1 ( use calculator)
the percentage is 0.3413 close to 34%
number of students that score between 61 and 71=
450*0.3413= 153.586 close to 154 students
What is the solution set of |–x| = 3.5? {–3.5, 3.5} {–3.5} {3.5} {7}
Answer:
{-3.5, 3.5}
Step-by-step explanation:
Interpreting
|-x| = 3.5
gives
3.5 = +(-x) or 3.5 = -(-x)
or
x = + / - 3.5
so the answer is
{-3.5, 3.5}
Answer:
A
Step-by-step explanation:
Can someone please help me?
Answer:
B
Step-by-step explanation:
When you plug it in, another form could be y=-3x+2
Answer:
y=-3x+2
Step-by-step explanation:
y=-3x+7
parallel lines have the same slope but different y intercept which is b in the equation y=mx+b
since it passes through (2,-4) then x=2 and y=-4, m(slope)=-3
y=mx+b
-4=-3(2)+b
b=-4+6
b=2
y=-3x+2
Which option is equal to 7 1/5
Answer:
D. is the answerStep-by-step explanation:
Question:
7^1/5
The number given has an exponent of a fraction: fraction exponent = 1/5
So, when you have a fraction - you always have a square root - Important!!Since the top is one, the number 7 stays the same. = 7^1 = 7
The bottom is a 5. This means it is to the fifth root.
Answer = D
Hope this helped,
Kavitha
Answer: If 36/7 is one of the options, choose that one.
If the question involves an exponent, you should use the "caret" which is ^ found above the 6 on a keyboard. [Shift + 6]. That helps avoid confusion.
Step-by-step explanation: 7 is equal to 35/5 because 7×5=35
Add 1/5 and you end up with 36/5. A Common rational number.
7^(1/5) = the 5th root of 7. A very small irrational number!
Amy invests $10,000 in an account that pays 1% compound interest annually. She uses the expression (1+) to find the total value of the account after years. What will be the total value of the account after 10 years?
====================================================
Work Shown:
P = amount deposited = 10000
r = interest rate in decimal form = 0.01
n = compounding frequency = 1 (annual compounding)
t = number of years = 10
--------
A = P*(1+r/n)^(n*t) ... compound interest formula
A = 10000*(1+0.01/1)^(1*10)
A = 11046.221254112
A = 11046.22 rounding to the nearest cent
help please .........
Answer:
30.045
Step-by-step explanation:
the length of rectangle=140 which is also the diameter of circle
R=d/2=140/2=70 ( which is the width of rectangle)
perimeter of rectangle=2l+2w=140+280=420
perimeter of semicircle=πr+d=70π+140=359.911
the difference between two perimeter
(perimeter of rectangle- perimeter of semi circle) =
420-359.911=60.089
since only one shaded area :
60.089/2=30.0445 close to 30.045
What is 1x1+5 hehe lol
El equipo de béisbol de los Gatos Salvajes de Ludlow, un equipo de las ligas menores de la organización de los Indios de Cleveland, juega 70% de sus partidos por la noche y 30% de día. El equipo gana 50% de los juegos nocturnos y 90% de los diurnos. De acuerdo con el periódico de hoy, ganaron el día de ayer. ¿Cuál es la probabilidad de que el partido se haya jugado de noche?
Answer:
0.5645
Step-by-step explanation:
De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow
Probabilidad de jugar de noche = 70% = 0.7
Probabilidad de ganar en la noche = 50% = 0.5
Probabilidad de jugar durante el día = 30% = 0.3
Probabilidad de ganar durante el día = 90% = 0.9
Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =
(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]
Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)
= 0.35 ÷ 0.35 + 0.27
= 0.35 ÷ 0.62
= 0.5645
La probabilidad de que el partido se haya jugado de noche = 0.5645
PLEASE HELP MEEEE
I need help finding x a b and c
Answer:
x=15
angle b=7*15=105
angle a=180-105=75
angle c=2x=30
Step-by-step explanation:
b=7x
sum of straight angle :=180
isoceles traingle = 2 sides are equal, and two angles are equal
b+a=180
7x+a=180
sum of traingle =180
2a+c=180
2a+2x=180 first equation
7x+a=180 second equation
solve by elimination ( multiply second equation by 2)
2a+2x=180
2a+14x=360 ( subtract)
2a+2x-2a-14x=180-360
-12x=-180
x=-180/12=
x=15
angle b=7*15=105
angle a=180-105=75
angle c=2x=30
A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let p1 represent the proportion of the news media that is Democrat and p2 represent the proportion of the public that is Democrat. What are the appropriate null and alternative hypotheses that correspond to this claim
Answer:
[tex]H_{o}[/tex]: Larger proportion of news media = democrats
Ha : Large proportion of news media [tex]\neq[/tex] democrats
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
4. You work for an advertising company and have been hired to place a blimp above a football stadium. The angle of elevation from a point directly under the goal post is 72° and the blimp will be directly above the 50 yard line. a. Which trigonometric ratio would you use to calculate how high the blimp will be above the 50 yard line? b. How high above the ground is the blimp? c. In order to be able to read the advertisement on the side of the blimp the highest the blimp can be is 150 feet. Will the fans be able to read the advertisement? If not, what possible angle of elevation could we use? d. What is the exact angle if the blimp is at 150 feet?
Answer:
tan θ = [tex]\dfrac{opposite}{adjacent}[/tex]
The height of the blimp above the ground is h = 153.884 yard
No, the fans will not be able to read the advertisement.
The exact angle if the blimp is at 150 feet is 45.74°
Step-by-step explanation:
From the summary of the information given :
The angle of elevation from a point directly under the goal post is 72° and the blimp will be directly above the 50 yard line.
That statement above being illustrated in the attached diagram below for better understanding.
a. Which trigonometric ratio would you use to calculate how high the blimp will be above the 50 yard line?
The trigonometric ratio that can be used to calculate how high the blimp will be above the 50 yard line is :
tan θ = [tex]\dfrac{opposite}{adjacent}[/tex]
b. How high above the ground is the blimp?
Using the above derived trigonometric ratio,
tan θ = [tex]\dfrac{opposite}{adjacent}[/tex]
[tex]tan \ 72^0 = \dfrac{h}{50}[/tex]
[tex]h =tan \ 72^0 \times {50}[/tex]
[tex]h =3.07768 \times {50}[/tex]
h = 153.884 yard
The height of the blimp above the ground is h = 153.884 yard
c. In order to be able to read the advertisement on the side of the blimp the highest the blimp can be is 150 feet.
Will the fans be able to read the advertisement?
No, the fans will not be able to read the advertisement.
This is because, 153.884 yard to feet
= 153.884 × 3
= 461.652 feet which is more than the maximum given 150 feet.
If not, what possible angle of elevation could we use?
The possible angle of elevation can be determined by taking the tangent of the trigonometric ratio.
SO
tan θ = [tex]\dfrac{h}{150}[/tex]
tan θ = [tex]\dfrac{153.884}{150 \ feet}[/tex]
tan θ = 1.026
θ = tan ⁻¹ (1.026)
θ = 45.74°
d. What is the exact angle if the blimp is at 150 feet?
The exact angle if the blimp is at 150 feet is 45.74°
Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of
air and water while using less than 49 Joules of energy.
12A + 8W > 343 represents the number of minutes the robot filters air A and water IV to hiter more
than 343 liters of air and water.
3A +41V < 49 represents the number of minutes the robot hiters air and water while using less than 49
Joules of energy
Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15
minutes?
Choose 1 answer.
A. The robot meets both of Nadia's expectations.
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount
of energy
C. The robot uses the expected amount of energy, but it doesn't filter the expected amount of air
and water.
D. The robot doesn't meet either of Nadia's expectations.
Answer:
The correct option is;
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy
Step-by-step explanation:
The given requirements are;
Volume of air and water to be filtered by the robot = 343 liters
The amount of energy consumed by the robot < 49 joules
The number of minutes the robot filters air and water to filter more than 343 liters = 12A + 8W > 343
The number of minutes the robot filters air and with less than 49 Joule of energy = 3A + 4W < 49
Given that filtering air takes 20 minutes, filtering water takes 15 minutes, we have;
To filter more than 343 liters, we have
12*20 + 8*15 = 360 > 343
The robot meets the amount of air and water requirement
To filter with less than 49 joules we have
3*20 + 4*15 = 120 > 49
Therefore, the robot does not meet the energy requirement
The correct option is the robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.
PLEASE help me with this question! No nonsense answers and answer with full solutions please!
Answer: b) {-3, 0.5}
Step-by-step explanation:
The new equation is the original equation plus 6. Move the original graph UP 6 units. The solutions are where it crosses the x-axis.
[tex]\text{Original equation:}\quad f(x)=\dfrac{15}{x}-\dfrac{9}{x^2}\\\\\\\text{New equation:}\quad\dfrac{15}{x}+6=\dfrac{9}{x^2}\\\\\\.\qquad \qquad f(x)= \dfrac{15}{x}-\dfrac{9}{x^2}+6[/tex]
+6 means it is a transformation UP 6 units.
Solutions are where it crosses the x-axis.
The curve now crosses the x-axis at x = -3 and x = 0.5.
3. In the diagram, PQTU is a parallelogram with a
perimeter of 24 cm and an area of 28 cm². Given that
UTS and PQR are straight lines, find the area of the
whole diagram
Answer:
48cm²
Step-by-step explanation:
PQ=(24-5-5)/2=7
This means PR is 14 and US is 10.
The height of the parallelogram is base times height, so 28/7=4
Now we just look at it as one big parallelogram.
4(14+10)/2=48 cm²
-4______1 what symbol makes this sentence true
Answer:
<
Step-by-step explanation:
Find the area of the triangle.
Answer:
10.5 cm^2
Step-by-step explanation:
Since we have two sides and the angle between those sides, we can use the alternative area formula:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
a and b are the two sides while C is the angle in between the two sides.
Plug in the numbers:
[tex]A=\frac{1}{2}(7)(6)\sin(150)[/tex]
Recall the unit circle. Sin(150) is 1/2.
[tex]A=21(\frac{1}{2})[/tex]
[tex]A=21/2=10.5cm^2[/tex]
A ladder leaning against a wall makes a 35° angle with the ground. The foot of the ladder is 5 meters from the wall. What is the length of ladder?
Greetings from Brasil...
Using Cossine we will get the length L of ladder
COS 35 = 5/L
L = 6,1linear equations: w-3=15
Answer:
w = 18
Step-by-step explanation:
w-3=15
Add 3 to each side
w-3+3=15+3
w = 18
Answer:
w = 18.
Step-by-step explanation:
w - 3 = 15
w = 15 + 3
w = 18
Check your work!
18 - 3 = 15.
Hope this helps!