Answer:
side C'D' = 2.8 units
Step-by-step explanation:
Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)
Therefore side C'D' = 2.8 units
If the volleyball team washes 10 more cars, then they will have met their overall goal of
washing 60 cars to raise money for their season. Let c represent the number of cars that
the volleyball team has washed so far. Which of the following equations can be used to
solve for c?
Answer:
Step-by-step explanation:
60-10=50
they washed 50 cars.
Graph the system of linear inequalities on the coordinate plane.
y [tex]\geq[/tex] 1/2x + 2 1/2
y< 1/5 x + 6
a. Shade the solution to the system of inequalities.
b. Pick a point and show your solution is correct.
Answer: Images of Graphs are listed below. I am unsure on how to conduct the second part. but there is the first part
Step-by-step explanation:
Matt was standing 3 feet from the edge of the pool he walked away from the pool for four seconds then he was 12 feet away from the edge of the pool
Answer: graph b
Step-by-step explanation:
if there are 5 fish and 1 of the dies how many are left
There are 4 living fish, but unless the dead one was taken from the tank, there are still 5 fish in the tank.
A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply.
Answer:
x=14
Step-by-step explanation:
3+1.50x=24
24-3=21
21/1.50=14
Answer is C which is 14
3/4x-4=5/6
Rewrite so it doesn’t have any fraction
Find the general solution of y''' + 9y'' + y' − 111y = 0 if it is known that y1 = e−6x cos(x) is one solution.
Answer:
[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]
Step-by-step explanation:
The objective of this question is to solve:
[tex]\dfrac{dy(x)}{dx}+ 9\dfrac{d^2y(dx)}{dx^2}+\dfrac{d^3y(x)}{dx^3}-111y(x) = 0 :[/tex]
Suppose the general solution is proportional to [tex]e^{\lambda x}[/tex] for [tex]\lambda[/tex] is constant; Then:
Let's replace [tex]y(x) = e^{\lambda\ x}[/tex] into the above equation:
i.e.
[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )+ 9 \dfrac{d^2}{dx^2}(e ^{\lambda x} ) + \dfrac{d}{dx}(e ^{\lambda x} )- 111 \ e ^{\lambda x} = 0[/tex]
To Replace:
[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )[/tex] with [tex]\lambda^3 e ^{\lambda x }[/tex]
[tex]\dfrac{d^2}{dx^2}(e ^{\lambda x} ) \ with \ \lambda^2 e^{\lambda\ x}[/tex]
[tex]\dfrac{d}{dx}(e ^{\lambda x} ) \ with \ \lambda e ^{\lambda \ x}[/tex]
Thus;
[tex]\lambda^3 e ^{\lambda x }[/tex] + [tex]9 \lambda^2 e^{\lambda\ x}[/tex] + [tex]\lambda e ^{\lambda \ x}[/tex] - 111 [tex]e ^{\lambda \ x}[/tex] = 0
[tex]e ^{\lambda \ x} (\lambda ^3 + 9 \lambda ^2 + \lambda - 111 )= 0[/tex]
∴
In as much as [tex]e^{ \lambda x}\neq 0[/tex] for any finite [tex]\lambda[/tex]; Then:
[tex]\lambda ^3 + 9 \lambda ^2 + 111 = 0[/tex]
By Factorization:
[tex](\lambda - 3) ( \lambda ^2 + 12 \lambda + 37) = 0[/tex]
[tex]\lambda = -6 + i \ or\ \lambda = -6 - i \ or \ \lambda = 3[/tex]
However;
The root [tex]\lambda = -6 \pm i[/tex] yield;
[tex]y_1 = (x) = c_1 e ^ {(-6+i)x}[/tex]
[tex]y_2 (x) = c_2e^{(-6-i)x}[/tex]
The root [tex]\lambda = 3[/tex] yield;
[tex]y_3(x) = c_3 e^{3x}[/tex]
∴
The general solution is:
[tex]y(x) = y_1(x) + y_2(x) + y_3(x) = \dfrac{c_1}{c^{(6-i)}x}+\dfrac{c_2}{c^{(6+i)}x}+ c_3e^{3x}[/tex]
Using Euler's Identity ;
[tex]e^{\alpha+i \beta} = e^\alpha \ cos (\beta ) + i \ e^\alpha \ sin ( \beta)[/tex]
[tex]y(x) = c_1 ( \dfrac{cos (x) }{e^{6x}}+ \dfrac{i \ sin x }{e^{6x} }) + c_2 ( \dfrac{cos (x)}{e^{6x}}- \dfrac{-i \ sin (x)}{e^{6x}})+c_3 e^{3x}[/tex]
[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]
Nicole buys candy that costs $4 per pound. She will spend more than $28 on candy. What are the possible numbers of pounds she will buy?
pleas help me ill give brainleyest
Answer:
11.8% Decrease
Step-by-step explanation:
I googles it i am sorry if it's not right
The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).
Answer:
this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong
Step-by-step explanation:
A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to a family's financial stress, the second or third one might not be as "expensive" since they would already be sharing one roof, could share clothing, etc. The researcher has access to a large community of parents where 15% have one child under 18 in their home, 65% of parents have two children, and 20% of parents have three or more children. Rounded to the nearest whole number, the probability that any given family who is selected has two or more children at home is ________ %?
Answer:
The probability that any given family who is selected has two or more children at home is 85%.
Step-by-step explanation:
The information provided is as follows:
Number of Children Probability
1 0.15
2 0.65
> 3 0.20
Compute the probability that any given family who is selected has two or more children at home as follows:
P (At least 2 Children) = P (2 children) + P (More than 3 children)
= 0.65 + 0.20
= 0.85
Thus, the probability that any given family who is selected has two or more children at home is 85%.
a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves
Answer:
8.49 per pair/pack of gloves
Step-by-step explanation:
i got this by taking 33.96 divided by 4 so i could find out how much for one pair
The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War
Answer:
its c
Step-by-step explanation:
trust and dont vote me out! its not me i sware its cyan he sus!
Answer:
It's C
Step-by-step explanation:
Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!
Answer:
270 miles and 180 minutes
Step-by-step explanation:
Given parallelogram ABCD, the measure of angle C
Answer:
70 is the answer to the question
Answer:
[tex]70^{o}[/tex]
Step-by-step explanation:
Opposite angles in a parallelogram are equal. The opposite angle to A is C and we are trying to find angle C. Therefore, <C = <A, therefore, <c= 70 degrees
Factorise fully
-12a - 16
please do quick, first to answer marked brainiest!!
Answer:
-4( 3a+4)
Step-by-step explanation:
-12a - 16
-4*3a -4*4
Factor out a -4
-4( 3a+4)
A one dimensional object with no endpoint is a?
A.ray
B.line segment
C.line
D.point
Answer:
its line fjfjfjjejjdjdj
As per the given condition, the required one dimensional object with no end point is a line.
What is a ray?"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.
On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. "
What is a line segment?"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."
What is a line?"A line is a one-dimensional object, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. "
What is a point?"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."
Given, a one dimensional object with no endpoint.
Therefore, the require object is a line.
Learn more about a line here: https://brainly.com/question/27560536
#SPJ2
3x+15=24 what is the x equal too
Answer:
x is equal to -1/3
hope this helps
Answer: I'm pretty sure x = 3
Step-by-step explanation: 3 times 3 = 9. 9 + 15 = 24. And when I solve for x it equals 3.
Please Solve Brainliest and 10 points!
Answer:
x=20°
Step-by-step explanation:
statements:1.) m<DOB = m<DOE + m<BOE (or m<EOB)
2.) m<DOB = 90°+x
3.) m<AOC = m<DOB
4.) 110° = 90° + x
5.) x = 20°
reasons:1.) given
2.) substitution
3.) vertical/reflexive
4.) substitution
5.) algebra
Kyle invested $ 500 and received $ 650 after three years. What had been the interest rate?
Since Kyle invested $500 and received $650 after three years, the value of Kyles's interest rate is 43.3%.
Given the following data:
Principal = $500Simple interest = $650Time = 3 yearsTo calculate the value of Kyles's interest rate:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making R the subject of formula, we have:
[tex]R = \frac{100S.I}{PT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]R = \frac{100 \times 650}{500 \times 3}\\\\R = \frac{65000}{1500}[/tex]
Interest rate, R = 43.3%
Read more: https://brainly.com/question/22621039?referrer=searchResults
Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment
Answer:
Step-by-step explanation:
From the information given;
We are to take a look at a 2⁵ factorial design.
The factorial design consists of carrying out the design of equipment by testing it by modifying not the parameters one by one but by modifying several simultaneous parameters.
An experiment is termed to be a 2⁵ factorial experiment if in the experiment 5 factors are studied consecutively with each at two-level.
Thus, there are five factors and 2 levels in the experiment.
simplify 12x⁵y² ÷ 3x²y
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
3252614683754629158741032465x93756356872264881+432757232878247-3243566=
Answer:
bout 7
Step-by-step explanation:
Answer:3.049533e+44 to be exact
Step-by-step explanation:
Is anyone willing to answer this question I can’t do it
Answer:
Not 100% sure on this make sure you double check
Step-by-step explanation:
X- 10
Y- 10
Slope- (-1)
like I said this could be wrong
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-3.21
Step-by-step explanation:
If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)
find the value of x
I have to show the work
Answer:
x = 39
Step-by-step explanation:
A circle is made up of 360 degrees
235+ 54+ x+32 = 360
Combine like terms
x+321=360
Subtract 321 from each side
x+321-321 = 360-321
x = 39
* Pending
This map shows the organization that was
association of nearly 30 countrior
Drag the operator to the correct location on the image. Which operation results in a trinomial?
Answer:
-
Step-by-step explanation:
I took the test
The correct operator that enters a circle is a subtraction sign.
Given the expressions
[tex](4x^5-8x) ()(3x^2-8x+9)[/tex]
We need to know which sign goes into the bracket that will give a trinomial when simplified.
A trinomial is a function containing 3-terms.
Using the subtraction sign.
[tex](4x^5-8x) - (3x^2-8x+9)[/tex]
Expand
[tex]= 4x^5-8x - 3x^2+8x-9\\= 4x^5-3x^2-8x+8x-9\\=4x^5-3x^2+0-9\\=4x^5-3x^2-9[/tex]
Since the resulting term is a trinomial (3 terms), hence the correct operator that enters a circle is a subtraction sign.
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Question 1 Part A: How many beads did Jiao send out? *
Wooden Beads
Oak
4,525
Maple
6,950
Ash
3,720
Ebony
2,475
Bayong
1,250
Answer:
Jiao sent out 18,920 beads.
Step-by-step explanation:
All I did was add.
</3 hope this helps.
The mapping diagram shows a functional relationship.
A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (8, 4), (negative two-thirds, 3), (11, negative 1), (4, one-half).
Complete the statements.
Answer:
do you have the diagram
Step-by-step explanation:
Answer:
yes ido
Step-by-step explanation: