Answer: See below
Step-by-step explanation:
To find the factor,
f(x) = 0
[tex]\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}[/tex]
So,
x = 0 multiplicity 2
x = -6 multiplicity 1
x = 6 multiplicity 1
For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis
Therefore,
x = 0 multiplicty 2, Touch
x = -6 multiplicty 1, Cross
x = 6 multiplicty 1, Cross
The following table shows the salary of 7 people in an office last year.
Name Income
Andy £9500
Bevan £25000
Cheryl £13250
Deva £75000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Ben spent 1/6 of his money on a burger, fries, and a drink. Then he spent half of the money he had left: $5 on a magazine, $8.25 on a bookmark, and $10.50 on a book. How much money did he have to begin with?
Please answer asap and please explain your answer.
Answer:
$57
Step-by-step explanation:
I'm not a good person explaining answers, so I will just give the equation.
[2(5+8.25+10.50)+ 23.75) x 4] ÷ 5
Hope this helps :)
3 (– 8) = 3x – 24
No Solution
Infinite Solutions
X = -16 D
x = 0
Answer:
B Infinite Solutions
Step-by-step explanation:
3 (x - 8) = 3x - 24
3x - 24 = 3x - 24
+ 24 + 24
3x = 3x
x = x
Infinite solutions
Strategic planning answers the question "__________"
Step-by-step explanation:
Where do you want to go from here?
What do you want to accomplish?
What obstacles will you have to overcome?
What problems will you have to solve?
What additional knowledge, skills, or resources will you require to achieve your strategic objectives?
The required Strategic planning answers the question "Where do we want to go and how do we get there?"
What is Strategic planning?Strategic planning is the process of defining an organization's vision, mission, values, goals, and objectives, and developing a roadmap to achieve them.
Here,
"Where do we want to go and how do we get there?"
Strategic planning is the process of defining an organization's vision, mission, values, goals, and objectives, and developing a roadmap to achieve them. It involves assessing an organization's current situation, identifying strengths, weaknesses, opportunities, and threats, and developing strategies to leverage strengths, address weaknesses, seize opportunities, and mitigate threats.
The end result is a plan that sets the direction for the organization and guides decision-making and resources allocation to achieve its goals and objectives.
Learn more about Strategic planning here:
https://brainly.com/question/30562644
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A bowl has 8 green and 15 red grapes, Henry randomly choses a grape and eats it. What is the probabilty that both grapes are green?
Answer:
like 30% cause there are more red grapes then green
Step-by-step explanation:
I'm not sure cause I don't see any answer choices
What is 2(5+5) + 3(2+3)?
Step-by-step explanation:
[tex]2(5 + 5) + 3(2 + 3)[/tex]
[tex]2(10) + 3(5)[/tex]
[tex]20 + 15[/tex]
[tex]35[/tex]
i-Ready
»Evaluate (8+t)³ - 6 when t = 2.
The value of the expression is
Practice: Numeric and Algebra
Answer:
994
Step-by-step explanation:
8+t(3) - 6 = 1000-6= 994
What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m? 8π m³ 16π m³ 64π m³ 256π m³
Answer: 64
Step-by-step explanation:
What additional piece of information must be known in order to calculate the volume of the cylinder below?
in.
the diameter of a base
the height of the cylinder
the area of a base
Othe radius of a base
Answer:
the height of the cylinder
Step-by-step explanation:
Please Help me
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8%
from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a
strategy for estimating the total output of wheat, in tons, in 2015?
A) 20 + 10 + 5
B) 20(10)(5)
C) 20 + 1.1 + 1.05
D 20(1.1)(1.05)
I WILL GIVE BRAINLIEST ANSWER TO THE PERSON WHO GETS THIS QUESTION CORRECT
Answer: y = -2x + 1
Step-by-step explanation:
The formula for slope-intercept form is y = mx + b. Keep y and x as the variables. Replace m with the slope, which can be found by doing rise/run, and replace b with the y-intercept. The y-intercept is the spot where the line intersects the y-axis.
Hope this helps! Have a great day! :)
NO LINKS!!! Please help me with this problem
#RS
[tex]\\ \rm\Rrightarrow \dfrac{RS}{TS}=\dfrac{FG}{EF}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{RS}{12}=\dfrac{45}{18}=\dfrac{5}{2}[/tex]
[tex]\\ \rm\Rrightarrow RS=\dfrac{12(5)}{2}=6(5)=30[/tex]
#QR
[tex]\\ \rm\Rrightarrow \dfrac{HG}{EF}=\dfrac{QR}{TS}[/tex]
[tex]\\ \rm\Rrightarrow QR=TS=12[/tex]
#QU
[tex]\\ \rm\Rrightarrow \dfrac{UQ}{QR}=\dfrac{DH}{HG}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{UQ}{12}=\dfrac{45}{18}=\dfrac{5}{2}[/tex]
[tex]\\ \rm\Rrightarrow UQ=30[/tex]
Answer:
RS = 30, QR = 12, QU = 30
Step-by-step explanation:
Step 1: Determine RS
We can see that RS on the left shape corresponds to FG on the right shape that is also larger. We can use other sides to help us determine the ratio which will then give us the length of RS. We can also see that the shape has been flipped so EF would match to ST.
[tex]RS/ST = FG/EF[/tex]
[tex]RS/12 = 45/18[/tex]
[tex]RS * 18 = 12 * 45[/tex]
[tex]\frac{18*RS}{18} = 540 / 18[/tex]
[tex]RS = 30[/tex]
Step 2: Determine QR
We can see that QR on the left shape corresponds to HG on the right shape that is also larger. We can use other sides to help us determine the ratio which will then give us the length of QR. We can also see that the shape has been flipped so EF would match to ST.
[tex]QR/ST = HG/EF[/tex]
[tex]QR/12 = 18/18[/tex]
[tex]QR * 18 = 12 * 18[/tex]
[tex]\frac{18 * QR}{18} = 216 / 18[/tex]
[tex]QR = 12[/tex]
Step 3: Determine QU
We can see that QR on the left shape corresponds to DH on the right shape that is also larger. We can use other sides to help us determine the ratio which will then give us the length of QU. We can also see that the shape has been flipped so EF would match to ST.
[tex]QU/ST = DH/EF[/tex]
[tex]QU/12 = 45/18[/tex]
[tex]QU * 18 = 12 * 45[/tex]
[tex]\frac{18*QU}{18} = 540/18[/tex]
[tex]QU = 30[/tex]
Answer: RS = 30, QR = 12, QU = 30
plllsss answer! I don't understand this question.
Answer:
C and D
Step-by-step explanation:
Population density is the ratio of population to area. Its units are persons per square mile. Here, you're being asked to compare the population densities of several countries to the average population density in several US states.
__
averageThe idea of "average population density of the 10 states listed" is somewhat ambiguous. It could mean either of (a) the ratio of the total of the states' population to the total of their land area, or (b) the average of the population densities of the states. (In the attached, we computed both, but the answer remains the same using either number.)
When there are numerous identical calculations to be performed, it is convenient to let a spreadsheet do them. The attached spreadsheet shows the population densities for the 10 states and 5 countries listed.
Depending on how you define it, the average population density of the 10 states is about 10.5 or about 15.7 people per square mile. (15.7 is the average of the density numbers, found using the spreadsheet AVERAGE function.)
__
countriesThe 5 countries have population densities ranging from about 7.7 to 236 people per square mile. Two of the countries have density below 10.5, so are the answers to the question asked.
Canada (C) and Iceland (D) have population density below the US state average.
Hey could you guys help me answer this and explain it to me? It’s math
Answer:
C. 8
Step-by-step explanation:
d = 8
4 + [tex]\frac{d}{2}[/tex]
Substitute d for 8
4 + 8/2
Simplify
4+4
Simplify
8
Answer:
c = 8
Step-by-step explanation:
if d = 8, that would mean that
4 + 8/2 (because 8 has substituted for d)
then you do 8 ÷ 2 = 4
4 + 4 = 8
Select the correct answer. Which system of equations has a solution of (-2,-2,-2)
Answer:
[B] [tex]\begin{bmatrix}x+2y=-6\\ y+2z=-6\\ x-y-z=2\end{bmatrix}[/tex]
Step-by-step explanation:
Going through all answer choice to find the solution:
[A] [tex]\begin{bmatrix}x+y=0\\ y-z=-2\\ x+y-z=-4\end{bmatrix}[/tex]
[tex]\mathrm{Isolate\;x\;for\;x+y=0;x=-y}[/tex]
[tex]\mathrm{Substitute\:}x=-y[/tex]
[tex]\begin{bmatrix}y-z=-2\\ -y+y-z=-4\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}y-z=-2\\ -z=-4\end{bmatrix}[/tex]
[tex]\mathrm{Isolate\;z\;for\;-z=-4;z=4}[/tex]
[tex]\mathrm{Substitute\:}z=4[/tex]
[tex]\begin{bmatrix}y-4=-2\end{bmatrix}[/tex]
[tex]\mathrm{Isolate\;y\;for\;y-4=-2;y=2}[/tex]
[tex]\mathrm{For\:}x=-y[/tex]
[tex]\mathrm{Substitute\:}z=4,\:y=2[/tex]
[tex]x=-2[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-2,\:z=4,\:y=2[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[B] [tex]\begin{bmatrix}x+2y=-6\\ y+2z=-6\\ x-y-z=2\end{bmatrix}[/tex]
[tex]\begin{bmatrix}y+2z=-6\\ z-y-z=2\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=-2[/tex]
[tex]\begin{bmatrix}-2+2z=-6\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=-6-2y[/tex]
[tex]\mathrm{Substitute\:}z=-2,\:y=-2[/tex]
[tex]x=-6-2\left(-2\right)[/tex]
[tex]x=-2[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-2,\:z=-2,\:y=-2[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[C] [tex]\begin{bmatrix}3x-y=-8\\ y-3z=-8\\ x+y+z=-8\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{-8+y}{3}[/tex]
[tex]\begin{bmatrix}y-3z=-8\\ \frac{-8+y}{3}+y+z=-8\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}y-3z=-8\\ z+\frac{-8+4y}{3}=-8\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=-8+3z[/tex]
[tex]\begin{bmatrix}z+\frac{-8+4\left(-8+3z\right)}{3}=-8\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}\frac{15z-40}{3}=-8\end{bmatrix}[/tex]
[tex]\mathrm{For\:}y=-8+3z[/tex]
[tex]\mathrm{Substitute\:}z=\frac{16}{15}[/tex]
[tex]y=-8+3\cdot \frac{16}{15}[/tex]
[tex]y=-\frac{24}{5}[/tex]
[tex]\mathrm{For\:}x=\frac{-8+y}{3}[/tex]
[tex]\mathrm{Substitute\:}z=\frac{16}{15},\:y=-\frac{24}{5}[/tex]
[tex]x=\frac{-8-\frac{24}{5}}{3}=x=-\frac{64}{15}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-\frac{64}{15},\:z=\frac{16}{15},\:y=-\frac{24}{5}[/tex]
[tex]x=-\frac{64}{15}=-4.26666666667, z=\frac{16}{15}=1.06666666667,y=-\frac{24}{5}=-4.8[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[D] [tex]\begin{bmatrix}x-2y+z=0\\ 2y+9z=-20\\ x-y+z=0\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=\frac{-20-9z}{2}[/tex]
[tex]\begin{bmatrix}x-2\cdot \frac{-20-9z}{2}+z=0\\ x-\frac{-20-9z}{2}+z=0\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}x+20+10z=0\\ x+\frac{20+11z}{2}=0\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=-10z-20[/tex]
[tex]\begin{bmatrix}-10z-20+\frac{20+11z}{2}=0\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}\frac{20-9z}{2}-20=0\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=-10z-20[/tex]
[tex]\mathrm{Substitute\:}z=-\frac{20}{9}[/tex]
[tex]x=-10\left(-\frac{20}{9}\right)-20[/tex]
[tex]x=\frac{20}{9}[/tex]
[tex]\mathrm{For\:}y=\frac{-20-9z}{2}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{20}{9},\:z=-\frac{20}{9}[/tex]
[tex]y=\frac{-20-9\left(-\frac{20}{9}\right)}{2}=0[/tex]
[tex]y=0[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=\frac{20}{9},\:z=-\frac{20}{9},\:y=0[/tex]
[tex]x=\frac{20}{9}=2.22222222222,\:z=-\frac{20}{9}-2.22222222222,\:y=0[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Kavinsky
Can someone help me please
Answer:
6.75 kg
Step-by-step explanation:
6/8 = 0.75
0.75 x 9 = 6.75
Answer:
6 3/4 kg
Step-by-step explanation:
9 x 6/8 = 6 3/4
The bigger the payment that you make on your credit card bill, the
А less interest you wil have to pay in total
B more interest you will have to pay in total C higher your APR
D lower your annual fee
Answer:
A I think
Step-by-step explanation:
subtract x-3 from 3-x + 4
Answer:
-2x + 10
Step-by-step explanation:
3 - x + 4 - (x - 3)
1. Combine like terms:
-x + 7 - (x - 3)
2. Apply the distributive law - (a - b) = -a + b :
-x + 7 -x + 3
3. Combine like terms:
-2x + 10
hope this helps!
Find A in degrees.
a = 11
b = 12
C = 20
B
A
N
A =[? ] degrees
Round to the nearest tenth.
Enter
Answer:
28.2°
Step-by-step explanation:
formula for an included angle (law of cosines)
[tex] - \cos( \frac{ {a }^{2} + {b}^{2} - {c}^{2} }{2ab} )[/tex]
(the variables change depending on the question, this one is switched, for example...it is actually b squared+ c squared - a squared over 2(bc) in this case)
after you plug it all in, you get cos⁻¹(0.88125), and an answer to the nearest tenth of 28.2
If you found this answer helpful, I would greatly appreciate brainliest :D.
Raise 10 to the 3rd power then multiply the result by a
Answer:
1000a
Step-by-step explanation:
[tex] 10^3 \times a = 10 \times 10 \times 10 \times a = 1000 \times a = 1000a [/tex]
250 employees in an organization were surveyed about their hair color and height the data collected is presented in the table if a person is selected at random what is the probability that the person is at least 175 cm tall
1) There are 90 + 74 people who are "at least 175 cm tall" (164 ppl)
2) probability is 164/250 = 0.656
D. 0.656
A display case of hat pins are marked 5 for $3. If Patty has $21, how many hat pins can Patty get? (assume no other taxes and fees)
Solve the equation: (a + 2)^4- 20(a + 2)^2+ 64 = 0
Answer:
Answer is 7.
Step-by-step explanation:
(a + 2)^4- 20(a + 2)^2+ 64 = 0
2a^4- 20(2a)^2+ 64 = 0
16a-20(4a)+64=0
-4a -64 -4a -64
12a-84=0
+84 +84
12a=84
84/12=7
A right triangular prism, with measurements in inches (in.), is shown.
3 in.
4 in.
5 in.
What is the volume, in cubic inches, of the right triangular prism?
Answer:
The volume is 30 cubic inches
Step-by-step explanation:
If it helped mark brainliest :)
Answer:
I would I don't know cause I am only in six grade
Which situation will yield variability?
A. How many days are in June?
B. How many minutes the avengers movie lasts?
C. How many texts do you receive each month?
D. How fast the speed limit is on Grand parkway?
I will give brainliest
Answer:
A) 30
B) 2h 23m
C) 13-17
D) 70 MPH
Step-by-step explanation:
D) It is a safe speed for people to go
I need help on shehidbdornd Fr
Answer:
A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory makes 126 aquariums, how much water will be needed to fill all of them (in cubic feet)?
Step-by-step explanation:
The distance, d, an object travels is represented by the equation d = rt, where r represents the average rate of speed and t represents time. Determine the units of t if d is measured in feet and r is measured in feet per second.
A.
square feet
B.
seconds
C.
feet per second
D.
feet per second squared
Answer:
B. seconds
Step-by-step explanation:
We have d=rt
means that t= [tex]\frac{d}{r}[/tex]
Given the units of each:
d: feet
r: feet/second
Replace each with its unit:
t= [tex]\frac{feet}{\frac{feet}{second} }[/tex] = [tex]\frac{feet.second}{feet}[/tex] = second
So the unit of t is seconds (option B.)
Answer:
B. secondsStep-by-step explanation:
Given
d = rtunit of d = feetunit of r = feet per secondTo Find :
unit of tSolving :
Since d = rt, we can rearrange it and rewrite it as t = d/rNow substitute the units in place of d and rt = d/rt = feet/feet per secondt = (feet)/(feet)(second)⁻¹t = secondsIMPORTANT: every " a, b, c and + , -" are meant to be exponents
The expression [tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex] is an algebraic expression, and the result of simplifying the expression [tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex] is 1
How to simplify the expression?The expression is given as:
[tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex]
Apply the power rule of indices
[tex](x^{a-b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex]
Expand the exponents of the expression
[tex]x^{a^2-b^2} \cdot x^{b^2 - c^2} \cdot x^{c^2 - a^2[/tex]
Apply the product rule of indices
[tex]x^{a^2-b^2+b^2 - c^2+c^2 - a^2[/tex]
Collect like terms
[tex]x^{a^2- a^2-b^2+b^2 - c^2+c^2[/tex]
Evaluate the differences
[tex]x^{0-0 - 0[/tex]
This gives
[tex]x^{0[/tex]
Evaluate the exponent
1
Hence, the result of simplifying the expression [tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex] is 1
Read more about simplifying expressions at:
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What is 125.1 ÷ 6 and if you do how do you do it?
ans = 20.85
hope it helps...!!!
WILL MARK BRAINLIEST!!!!!
For which shape is 180 degrees the smallest angle of rotational symmetry?
The shape with a rotational symmetry would remain the same when rotated
The shape with the smallest angle of rotational symmetry of 180 degrees is shape D
How to determine the shape?To do this, we simply examine each of the options
Shape A: Cross
The shape has 4 equal sides.
So, the smallest angle of rotational symmetry is:
Angle = 360/4
Angle = 90
The smallest angle of rotational symmetry is 90 degrees
Shape B: Star
The shape has 5 vertices.
So, the smallest angle of rotational symmetry is:
Angle = 360/5
Angle = 72
The smallest angle of rotational symmetry is 72 degrees
Shape C: Composite figure
This shape has a square and a triangle merged together at two ends
This means that the smallest angle of rotational symmetry is a complete rotation of 360 degrees
Shape D: Circle
The circle is divided into two equal segments.
The angle on the straight line of each segment is:
Angle = 360/2
Angle = 180
The smallest angle of rotational symmetry is 180 degrees
Hence, the shape with the smallest angle of rotational symmetry of 180 degrees is shape D
Read more about rotational symmetry at:
https://brainly.com/question/12214455