Answer:
1
Step-by-step explanation:
To do this, we can first look at each factor of each number.
For 5a²b², we can split this up into three parts: 5, a², and b². The factors of 5 are 1 and 5, the factors of a² are 1, a, and a² (because a*a = a² and a²*1 = a²), and the factors of b² are 1, b, and b²
For 9x³y³, the factors for 9 are 1, 3, and 9, the factors of x³ are 1, x, x², and x³ (because x * x² = x³ and x³ * 1 = x³), and the factors of y³ are 1, y, y², and y³.
The only number that is a factor of at least 1 item in each number is 1. Therefore, 1 is the HCF
Another way of looking at this is seeing that a, b, x, and y are all different variables with nothing to connect them, so as a result, they will have no common factors except for 1
Which is the simplified form of x-12?
Help
Answer:
1 / x^12
Hope this helped!!!
Answer: c)
Answer:
1 / x^12
Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88
Answer:
Each slice of pizza cost:
$1.63
Step-by-step explanation:
4.89/3 = 1.63
Answer:
$1.63
Step-by-step explanation:
We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.
cost / slices
It costs $4.89 for 3 slices.
$4.89 / 3 slices
Divide 4.89 by 3 (4.89/3=1.63)
$1.63 / slice
The cost of each slice of pizza is $1.63
please this is urgent
Answer:
i can only do the question no 1, 5 ,6, 7
hope it'll help you and my answers are correct
:)
help me please and thank youu
Answer:
-3
Step-by-step explanation:
(2x^0y^2)^-3 multiply 2yx^3
Answer:
[tex]\frac{x^{3} }{4y^{5} }[/tex]
Step-by-step explanation:
Simplifica la expresión
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
please 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
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.
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 )
When the net is folded up, which sides will touch?
A. C and G
B. M and G
C. D and F
D. E and L
Answer:
The correct answer is
D) e and l
What is the ratio of the length of to the length of?
Answer:
1/4
Step-by-step explanation:
What is the ratio of the length of to DE the length of BC
The perimeter of a sector is given by:
P = [tex]\frac{\theta}{360}**2\pi r[/tex]
Where [tex]\theta[/tex] is the angle it subtends from the center and r is the radius of the circle.
For Sector ADE, the radius (r) = r/2 and the angle [tex]\theta[/tex] = β. Therefore:
Perimeter of DE = [tex]\frac{\beta}{360}**2\pi (\frac{r}{2} )=\frac{\beta}{360}(\pi r)[/tex]
For Sector ABC, the radius (r) = r and the angle [tex]\theta[/tex] = 2β. Therefore:
Perimeter of BC = [tex]\frac{2\beta}{360}**2\pi r=\frac{2\beta}{360}(2\pi r)=\frac{\beta}{360}*(4\pi r)[/tex]
The ratio of the length of to DE the length of BC =
Answer:
1/4
Step-by-step explanation:
Put the equation in standard form: Ax+By=C
Equation: 2y= ⅓x - 1
Answer:
I answered your question . Hope this helps.
I need help with five math questions please help
Answer:
-5X+2Y-2
Step-by-step explanation:
-5X-7-2+2Y+7
-5X-2+2Y
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
- 3 1/2 ( - 12 1/4 )
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}.
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 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! :)
Create a box plot for either the girls or boys data. Give 2 valid conclusions based on the data collected? (4 points)
Answer:
1) Please find attached the box and whiskers chart created with Excel
2) The conclusions are;
a) The measure of central tendency (the mean and the median) are approximately equal,
b) The standard deviation for the first five data points is 14.17 while the standard deviation for the whole ten data points is 23.99 as such the data values appeared more clustered at the center and show wider spread towards right ends of the chart
Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed
Step-by-step explanation:
The given data is as follows;
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
15, 18, 22, 32, 50, 50, 55, 56, 81, 81
The first quartile Q₁ = 22
The second quartile, Q₂ (Median) = 50
The third quartile, Q₃ = 56
The interquartile range IQR = 56 - 22 = 34
The minimum value = 15
The maximum value = 81
The mean = 46
The standard deviation = 23.99
Therefore, the measure of central tendency (the mean and the median) are approximately equal,
The data values appeared more clustered at the center and show wider spread towards the left and right ends of the chart
The standard deviation for the first five data points is 14.17 while the standard deviation for the last five data points is
Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed.
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
any 5
algebraic formulas
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b2
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 = (a + b)(a2 – ab + b2)
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
a4 – b4 = (a – b)(a + b)(a2 + b2)
a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b2
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 = (a + b)(a2 – ab + b2)
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
a4 – b4 = (a – b)(a + b)(a2 + b2)
a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
round your answer to the nearest hundredth. Find angle A=?
Answer:
A=48.81
Step-by-step explanation:
it is a right angle triangle find the hypotenuse c using Pythagorean theorem:
c²=a²+b²
c²=8²+7²
c=√64+49
c=10.63
sin A =opp/hyp
sin A=8/10.63
A= 48.81
another way :
tan A=opp/adj
tan A=8/7
A=48.81
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
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
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 = 0Let 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.
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.
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:
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 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
HELP PLS HELPIf the length of the minor axis of an ellipse is 6 units and the length of the major axis is 10 units, how far from the center are the foci located?
Answer:
4
Step-by-step explanation:
The distance between the center are the foci located 8 units.
It is required to find the focus is c.
What is ellipse?A closed plane curve generated by a point moving in such a way that the sums of its distances from two fixed points is a constant.
Given that:
The length of the major axis is 2a,
length of the major axis
2a=10
a=5
The length of the minor axis is 2b.
Length of the minor axis
2b=6
b=3
The distance between the center and either focus is c,
c^{2} =a^{2} -b^{2}
c^{2} =5^{2} -3^{2}
c^{2} =25-9
c=8
So, the distance between the center are the foci located 8 units.
Learn more about ellipse here:
https://brainly.com/question/24330006
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