Answer:
The correct option is;
(Choice C) Both angle measures and segment lengths
Step-by-step explanation:
The given transformations are;
The reflection over the line, [tex]\overleftrightarrow{PQ}[/tex], with, A rotation about the point P. Another reflection over [tex]\overleftrightarrow{PQ}[/tex]. A rotation about the point Q, we have;
The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions
Therefore, the correct option is, both angle measures and segment lengths.
(Choice C) C Both angle measures and segment lengths
Solve for X
1.) 5(4)^x=320 solve for x
2.) 7 (1/3)^x=7/27 solve for x
Answer:
[tex]5(4)^x=320\\\frac{5(4)^x}{5}=\frac{320}{5}\\ 4^x=64\\x*(log(4) )=log(64)\\x=\frac{log(64)}{log(4)}\\ x=3[/tex]
Step-by-step explanation:
The first three steps in determining the solution set of the system of equations algebraically are shown.
y = x2 − x − 3
y = −3x + 5
What are the solutions of this system of equations?
Answer:
(- 4, 17 ) and (2, - 1 )
Step-by-step explanation:
Given the 2 equations
y = x² - x - 3 → (1)
y = - 3x + 5 → (2)
Substitute y = x² - x - 3 into (2)
x² - x - 3 = - 3x + 5 ( subtract - 3x + 5 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 : y = - 3(- 4) + 5 = 12 + 5 = 17 ⇒ (- 4, 17 )
x = 2 : y = - 3(2) + 5 = (- 6 + 5 = - 1 ⇒ (2, - 1 )
The Fairy Tale Spectacular is coming to town. Admission to the fair costs $32.50 and each ride costs $0.80. You have $50 to spend at the Fairy Tale Spectacular including admission. Write and solve an inequality to determine the maximum number of rides you can enjoy at the Fairy Tale Spectacular?
Answer:21
Step-by-step explanation:
50-32.5=17.5
17.5/0.8=21.875
* Graph these numbers on a number line.
-5,3, -2,1
-5
-5,3,-2,1 on a number line
<-|----|----|----|----|----|----|----|----|->
-5 -2 0 1 3
PLEASE help me with this question!!! REALLY URGENT!
Answer:
B
Step-by-step explanation:
So we have a table of values of a used car over time. At year 0, the car is worth $20,000. By the end of year 8, the car is only worth $3400.
We can see that this is exponential decay since each subsequent year the car depreciates by a different value.
To find the rate of change the car depreciates, we simply need to find the value of the exponential decay. To do this (and for the most accurate results) we can use the last term (8, 3400).
First, we already determined that the original value (year 0 value) of the car is 20,000. Therefore, we can say:
[tex]f(t)=20000(r)^t[/tex]
Where t is the time in years and r is the rate (what we're trying to figure out).
Now, to solve for r, use to point (8, 3400). Plug in 8 for t and 3400 for f(t):
[tex]3400=20000(r)^8\\3400/20000=17/100=r^8\\r=\sqrt[8]{17/100}\approx0.8[/tex]
In other words, the rate of change modeled by the function is 0.8.
As expected, this is exponential decay. The 0.8 tells us that the car depreciates by 20% per year.
how many are 4 raised to 4 ???
Answer:
256Step-by-step explanation:
The expression 4 raised to 4 can be written in mathematical term as [tex]4^4[/tex] and this means the value of 4 in four places as shown;
[tex]4^4\\\\= 4 * 4* 4* 4\\\\= (4 * 4)* (4* 4)\\\\= 16*16\\\\= 256\\\\[/tex]
Hence the expression 4 raised to 4 is equivalent to 256
A car traveled 420 miles in 7 hours how many miles did it travel per hour?
Answer:
60 Mile per hour
Step-by-step explanation:
Hello!
To find how far something travel in a span of time we divide the distance traveled by the time it took to travel that far
420/7 = 60
The Answer is 60mph
Hope this Helps!
Answer: 60 miles per hour
Step-by-step explanation:
420 miles / 7 hours
Suppose a shoe company estimates that its monthly cost is
C(x) = 300c2 + 200c and its monthly revenue is
R(x) = -0.5x3 + 900x2 – 500x + 400, where x is in thousands of pairs
of shoes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
O
A. P(x) = -0.5x3 + 600x2 – 700x + 400
B. P(2) = -0.5x3 + 1200x2 – 300x + 400
O C. P(x) = 0.523 + 60022 – 700.0 + 400
O D. P(x) = 0.523 – 600x2 + 700x – 400
PREVIOUS
I
Answer:
Hello,
Answer B
Step-by-step explanation:
[tex]C(x)=300*x^2+200*x\\\\R(x)=-0.5*x^3+900*x^2-500*x+400\\\\\\P(x)=R(x)-C(x)\\\\=-0.5*x^3+900*x^2-500*x+400-(300*x^2+200*x)\\\\=-0.5x^3+900x^2-300x^2-500x-200x+400\\\\=-0.5x^3+600x^2-700x+400\\[/tex]
Simplify the following expression 5(y + 3) + 7(y − 5) + 6
Answer:
12y-14
Step-by-step explanation:
we expand first and doing that we get
5y+15+7y-35+6
12y-14
2(6y-7)
Step-by-step explanation:
5(y+3) + 7(y-5) +6
5y+15+7y-35+6
5y+7y+15-35+6
12y-14
y= -14-12
y= +26
a second degree equation in one variable example how many solutions does it have ?a second degree equation in one variable example how many solutions does it have ? is it possible to have many solutions or no solutions tions give an example for each
Answer:
0, 1, or 2 real solutions
Step-by-step explanation:
Including complex and repeated solutions, a polynomial with real coefficients, and of degree n, always has n solutions.
If you're only concerned about real solutions, a 2nd degree equation in one variable may have 0, 1, or 2 real solutions. Here are some examples.
0 solutions: x^2 +1 = 01 solution: x^2 = 02 solutions: x^2 -1 = 0Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase and wrote the inequality 5.50 b + 7.5 less-than 65 to represent the situation. Which statements describe the reasoning used to determine if Kelsey’s inequality is correct? Select two options. The inequality symbol is correct because she must spend less than $65. The inequality symbol is incorrect because she can spend up to and including $65. The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price. The expression 5.50b + 7.5 is incorrect because $5.50 per book and $7.50 should be combined to $9.50b to determine the total purchase price. The inequality symbol is correct because she cannot spend more than $65.
The statements that can be used to describe the reasoning used to determine if Kelsey’s inequality is correct include:
The inequality symbol is incorrect because she can spend up to and including $65. The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price.It should be noted that the inequality symbol is incorrect because she can spend up to and including $65.
Based on the information given, the correct expression that can be used to solve the question should be:
65 - (5.50b + 7.5)
In conclusion, the correct options are B and C.
Read related link on:
https://brainly.com/question/16904821
Answer:
B and C
Step-by-step explanation:
Solve each inequality, and then drag the correct solution graph to the inequality.
The correct solution graph to the inequalities are
[tex]4(9x-18)>3(8x+12)[/tex] → C
[tex]-\frac{1}{3}(12x+6) \geq -2x +14[/tex] → A
[tex]1.6(x+8)\geq 38.4[/tex] → B
(NOTE: The graphs are labelled A, B and C from left to right)
For the first inequality,
[tex]4(9x-18)>3(8x+12)[/tex]
First, clear the brackets,
[tex]36x-72>24x+36[/tex]
Then, collect like terms
[tex]36x-24x>36+72\\12x >108[/tex]
Now divide both sides by 12
[tex]\frac{12x}{12} > \frac{108}{12}[/tex]
∴ [tex]x > 9[/tex]
For the second inequality
[tex]-\frac{1}{3}(12x+6) \geq -2x +14[/tex]
First, clear the fraction by multiplying both sides by 3
[tex]3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)[/tex]
[tex]-1(12x+6) \geq -6x +42[/tex]
Now, open the bracket
[tex]-12x-6 \geq -6x +42[/tex]
Collect like terms
[tex]-6 -42\geq -6x +12x[/tex]
[tex]-48\geq 6x[/tex]
Divide both sides by 6
[tex]\frac{-48}{6} \geq \frac{6x}{6}[/tex]
[tex]-8\geq x[/tex]
∴ [tex]x\leq -8[/tex]
For the third inequality,
[tex]1.6(x+8)\geq 38.4[/tex]
First, clear the brackets
[tex]1.6x + 12.8\geq 38.4[/tex]
Collect likes terms
[tex]1.6x \geq 38.4-12.8[/tex]
[tex]1.6x \geq 25.6[/tex]
Divide both sides by 1.6
[tex]\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}[/tex]
∴ [tex]x \geq 16[/tex]
Let the graphs be A, B and C from left to right
The first graph (A) shows [tex]x\leq -8[/tex] and this matches the 2nd inequality
The second graph (B) shows [tex]x \geq 16[/tex] and this matches the 3rd inequality
The third graph (C) shows [tex]x > 9[/tex] and this matches the 1st inequality
Hence, the correct solution graph to the inequalities are
[tex]4(9x-18)>3(8x+12)[/tex] → C
[tex]-\frac{1}{3}(12x+6) \geq -2x +14[/tex] → A
[tex]1.6(x+8)\geq 38.4[/tex] → B
Learn more here: https://brainly.com/question/17448505
Answer:
4(9x − 18) > 3(8x + 12) = x > 9
(12x + 6) ≥ -2x + 14 = x ≤ -8
1.6(x + 8) ≥ 38.4 = x ≥ 16
Just follow the numbers with the dotted thing and see the numbers I underlined.
Step-by-step explanation:
Use the properties of inequality and real numbers to solve each inequality.
4(9x − 18) > 3(8x + 12)
36x − 72 > 24x + 36
12x − 72 > 36
12x > 108
x > 9
The graph has an open circle at 9, and moves toward the right on the number line.
(12x + 6) ≥ -2x + 14
12x + 6 ≤ 6x − 42
6x + 6 ≤ -42
6x ≤ -48
x ≤ -8
The graph has a closed circle at -8, and moves toward the left on the number line.
1.6(x + 8) ≥ 38.4
x + 8 ≥ 24
x ≥ 16
The graph has a closed circle at 16, and moves toward the right on the number line.
A walker has travelled 9 km along a trail. If he has completed 80% of the trail, how much further does he still have to go?
Answer:
2.25 km to go
Step-by-step explanation:
In order to get this answer, you have to figure out how many km 10% is, 0.1125. Then multiply that by the remaining 20% because he already finished 80% of the trail. So, 0.1125 x 20 = 2.25.
Hope this helps! :)
help me please and thank youu
Answer:
-3
Step-by-step explanation:
The backyard of a new home is shaped like a trapezoid with a height of 44 ft and bases of 90 ft and 110 ft. What is the cost of putting sod on the yard, if the
landscaper charges $0.25 per square foot for sod?
Answer:
$1100
Step-by-step explanation:
First find the area of the trapezoid
A = 1/2 (b1+b2)*h
A = 1/2 ( 90+110) *44
A = 1/2(200)*44
A = 4400ft^2
The cost is .25 per square foot
4400* .25 =1100
Answer:
$1100
Step-by-step explanation:
((90 + 110)/2 * 44)) * .25 = 1100
Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
Answer:
7x + 2
Step-by-step explanation:
Answer:
All real numbers
Step-by-step explanation:
Adding f(x) and g(x) together gets you, (4x-5) + (3x-7) = 7x - 12
If you graph this function you get a slanted line, which extends forever so the domain will be all real numbers.
After a 20% reduction, you purchase a tv for $336. What was the price of the tv before the reduction?
Answer:
$420
.8 x = 336
x = 336/.8
X=$420
Step-by-step explanation:
Find the range of f(x) = –x + 4 for the domain {–3, –2, –1, 1}.
Answer:
[tex]\boxed{ \{7, 6, 5, 3 \} }[/tex]
Step-by-step explanation:
The domain is all possible values for x.
The range is all possible values for f(x) or y.
The domain given is {-3, -2, -1, 1}.
Plug x as {-3, -2, -1, 1} and find the f(x) or y values.
[tex]f(-3)=-(-3)+4=7\\f(-2)=-(-2)+4=6\\f(-1)=-(-1)+4=5\\f(1)=-(1)+4=3[/tex]
The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.
(2x^0y^2)^-3 multiply 2yx^3
Answer:
[tex]\frac{x^{3} }{4y^{5} }[/tex]
Step-by-step explanation:
Simplifica la expresión
5. The volleyball team has a double-header on Friday. The probability that they
will win both games is 38%. The probability that they will win just the first game is
70%, What is the probability that the team will win the second game given that
they have already won the first game?
Answer: 54.29%
Step-by-step explanation:
Given: The probability that they will win both games is 38%.
i.e. P( both games will win) =0.38
The probability that they will win just the first game is 70%.
P(first game will win) = 0.70
To find : P(second game will win| first game will win)
Using formula: [tex]P(B|A)=\dfrac{P(\text{both A and B})}{P(A)}[/tex]
So, P(second game will win| first game will win) = [tex]\dfrac{\text{ P( both games will win)}}{\text{P(first game will win)}}[/tex]
[tex]=\frac{0.38}{0.70}\approx0.5429=54.29\%[/tex]
Hence, the required probability = 54.29%
A paintball court charges an initial entrance fee plus a
fixed price per ball.
P represents the total price (in dollars) as a function of
the number of balls used n.
P=0.80n + 5.50
What is the price for 10 balls, not including the
entrance fee?
$....
Answer:
$8
Step-by-step explanation:
Firstly, Let us identify the variables in the functions.
The function states that for every n ball, the price is $0.80. Plus the $5.50.
Now that we know what the function stands for, we can substitute 10 into n, and remove the entrance fee of $5.50.
P=0.80n
This gives us $8, which means the price for 10 balls not including the entrance fee is $8.
Find the area of the shape shown below.
2
2
2
2
2
units
Answer:
8
Step-by-step explanation:
khan
Answer:
8
Step-by-step explanation:
Is 3+(-4) the same as -4+3 ? Explain
PLS HELP ME!!!
A sample is generated from a population of 20 items. Each of the 20 items are given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample. This is an example of a __________.
A. systematic sample
B. random sample
C. convenience sample
D. self-selecting sample
Answer:
Option B, random sample
That should be the answer
Which expression is equivalent to x^6 – 5
Answer:
Amdjss
Step-by-step explanation:
The dot plot represents a sampling of ACT scores:
dot plot titled ACT Scores with Score on the x axis and Number of Students on the y axis with 1 dot over 18, 3 dots over 19, 4 dots over 21, 4 dots over 22, 3 dots over 23, 2 dots over 24, 1 dot over 25
Which box plot represents the dot plot data?
box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25
box plot titled ACT Score with a minimum of 18, quartile 1 of 19, median of 21, quartile 3 of 22, and maximum of 25
box plot titled ACT Score with a minimum of 17, quartile 1 of 19, median of 21, quartile 3 of 22, and maximum of 25
box plot titled ACT Score with a minimum of 17, quartile 1 of 19, median of 21, quartile 3 of 25, and maximum of 26
The data from a dot plot can be analyzed to find the five number summary, from which a box plot can be constructed
The correct option for the details of the box plot that represents the dot plot data is;
Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25
The process of deriving the five number summary of the box plot above is as follows;
Known:
The data from the dot plot can be expressed in increasing order for analysis of a box plot as follows;
18, 19, 19, 19, 21, 21, 21, 21, 22, 22, 22,22, 23, 23, 23, 24, 24, 25
The number of data points in the statistics, n = 18
Unknown:
The five number summary
Method:
Finding the five number summary as follows;
The minimum value = 18
The maximum value = 25
The first quartile, inclusive of the median Q₁ = The middle number of the lower half {18, 19, 19, 19, 21, 21, 21, 21, 22} = The (9 + 1)/2 th term∴ Quartile 1 = Q₁ = 5th term = 21
The second quartile, Q₂ = The median (the middle number) = (22 + 22)/2 = 22 = Quartile 2Quartile 2 = 22
The third quartile = The middle number of the upper half {22, 22,22, 23, 23, 23, 24, 24, 25} = Quartile 3 = 23Quartile 3 = 23
Combining the above 5 number summary, the correct option for the box plot representing the dot plot data, is therefore;
Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25
Learn more about box and whiskers, and dot plots here;
https://brainly.com/question/4002977
The probability that a civil servant own a car is 1/6,if two civil servants are selected at random.Find the probability that a.Each own a carb.Only one owns a car
Answer:
Step-by-step explanation: Given that a civil servant own a car is 1/6.
A) The Pr. that each own a car = Pr of each multiplied by the other.
Pr = 1/6 ×1/6
P = 1/36
B) Pr that only one owns a car
= 1/6 × (1-1/6) + 1/6 × (1-1/6)
= 1/6 × 5/6 + 5/6 × 1/6
= 5/36 + 5/36
= 10/36
= 5/18
What decimal number does point A on the number line below represent? A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below negative 1.00. 0.25 −0.25 1.75 −1.75
Answer: 0.25
Step-by-step explanation:
To find : decimal number represented by point A on the given number line.
Given: Vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4.
Point A is plotted at the third tick .
That means, Point A is marked at 1 over 4.
1 over 4 = [tex]\dfrac{1}{4}=0.25[/tex] [divide 1 by 4]
Hence, the point A represents 0.25 on the given number line.
Answer:
Step-by-step explanation:
Where is the picture
13. PLEASE HELP ME
The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of the playground.
A. length = 16 yd, width = 21 yd
B. length = 21 yd, width = 26 yd
C. length = 21 yd, width = 16 yd
D. length = 26 yd, width = 21 yd
We know
[tex]\boxed{\sf Area=Length\times Width}[/tex]
Putting values[tex]\\ \sf\longmapsto 336=x(x+5)[/tex]
[tex]\\ \sf\longmapsto x^2+5x=336[/tex]
[tex]\\ \sf\longmapsto x^2+5x-336=0[/tex]
Using mid term split[tex]\\ \sf\longmapsto x^2-16x+21x-336=0[/tex]
[tex]\\ \sf\longmapsto x(x-16)+21(x-16)=0[/tex]
[tex]\\ \sf\longmapsto (x-16)(x+21)=0[/tex]
[tex]\\ \sf\longmapsto (x-16)=0\:or\:(x+21)=0[/tex]
[tex]\\ \sf\longmapsto x=16\:or\:x=-21[/tex]
Ignore negative value[tex]\\ \sf\longmapsto Length=x=16yd[/tex]
[tex]\\ \sf\longmapsto Width=x+5=16+5=21yd[/tex]
Option a is correctplease help. thank you so much
Answer:
XY = 17
Step-by-step explanation:
Intersect secant theorem, EX * EY = EZ*EW
34 * EY = 25.5 * 68
[tex]EY = \frac{25.5*68}{34}\\\\ = 25.5* 2\\\\ = 51.0 = 51[/tex]
EY = 51
EX + XY = 51
34 + XY = 51
XY = 51 - 34 = 17