Answer:
-3
Step-by-step explanation:
What this tells you is that where you see an x on the right hand side of the equation, you put -1.
h(-1) = 2(-1) - 1
h(-1) = -2 - 1
h(-1) = - 3
0.23 divided by 5.05 explain with steps
Answer:
Step-by-step explanation:
\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100
\mathrm{Multiply\:the\:quotient\:digit}\:\left(0\right)\:\mathrm{by\:the\:divisor}\:505
\mathrm{Subtract}\:0\:\mathrm{from}\:23
A bag has 3 red marbles, 2 blue, 4 greens and 1 yellow. What is the probability of pulling a blue, putting it back
in the jar and then pull a green?
Show Your Work
Answer: 2/25
Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.
First find the probability of selecting a blue marble.
There are 2 favorable outcomes, the blue marbles,
and 10 possible outcomes, all the marbles in the bag.
So the probability of selecting a blue marble is 2/10 or 1/5.
Always reduce when finding probability
Now we find the probability of selecting a green marble.
There are 4 green marbles and 10 total so the probability of
selecting a green marble is 4/10 or 2/5.
Now we multiply the probabilities.
So we have 1/5 x 2/5 or 2/25.
This hyperbola is centered at the origin. Find its equation. Foci: (-9,0) and (9,0) Vertices: (-2,0) and (2,0)
Answer:
Step-by-step explanation:
focus distance=9
a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77
[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]
Equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
What is hyperbola?Hyperbola is defined as an open curve having two branches which are mirror images to each other.
A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.
Given
Foci: (-9, 0) and (9, 0)
Foci: (±9, 0)
Vertices: (-2,0) and (2,0)
Vertices: (±2, 0)
So, a = ±2, c = ±9
Now [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]b^{2} =c^{2} -a^{2}[/tex]
[tex]b^{2} =9^{2} -2^{2}[/tex]
[tex]b^{2} =81-4[/tex]
[tex]b^{2} =77[/tex]
Equation of hyperbola is
[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]
⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]
Hence, equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
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If this trapezoid is moved through the
translation (x+1, y-3), what will the
coordinates of B' be?
5
B
С
4
3
A А
2
D
1
-7
-6
-5 -4
-3
-2
-1 0
1
2.
3
4
B' = ([?], [ ]
-2
Based on the fact that there are 4 points which are given below, we have to move the trapezoid to the points of B will be (x+1, y-3).
The points on the graph are:
A(-6,2) =>A'(-5, -1)B(-5,4) =>B'( -4,1)C(-2,4)=> C'(-1,1)D( 1,2) => D'(2,-1)What is a trapezoid?A trapezoid is regarded as a quadrilateral that has only one pair of opposite sides that are said to be parallel.
It is made up of a right angles (called right trapezoid), and it can also contain a congruent sides (isosceles). Note that in the above, the only way the trapezoid can fit into the translation movement (Point B)is if it is moved to the points of (x+1, y-3) on the graph.
B(-5,4) =>B'( -4,1)
B= 5-4, 4-3 = +1, -3.
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After translation, the coordinate of point B' is (-4, 1).
Use the concept of coordinate defined as:
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
The given translation is:
(x+1, y-3)
The coordinate of B' is (-5, 4)
Now apply the translation on the point B'
(-5+1, 4-3) = (-4, 1)
Hence,
After translation, the coordinate of point B' is (-4, 1).
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How to solve
56.25x = 678
Answer:
x = 12.053
hope this helps !!
Karima earns $400 per week plus a holiday bonus of $250. Write an expression to represent the total amount she earns after working w weeks. Then, find the amount she earns after she works 4, 12, and 36 weeks.
Expression:
Earnings at 4 weeks:
Earnings at 12 weeks:
Earnings at 36 weeks:
Answer:
Step-by-step explanation:
Earnings per week = $ 400
Earning for 'w' week = 400*w + holiday bonus
= 400w + 250
Earnings at 4 weeks = 400*4 + 250
= 1600 + 250
= $ 1850
Earnings at 12 weeks = 400*12 + 250
= 4800 + 250
= $ 5050
Earnings at 36 weeks = 400*36 + 250
= 14400 + 250
= $ 14650
Help meee plsss!!!!!!
Answer:
56m²
Step-by-step explanation:
1/2×b×h
1/2×14×8
1/2×112
112/2
56m²
What is the measure of the central angle of a circle with radius 15 ft that intercepts a 10 ft arc?
Use 3.14 for T.
Round the answer to the hundredths place.
Enter your answer in the box.
[tex]\Large{\underline{\sf Solution:-}}[/tex]
[tex]\\ \sf\dashrightarrow L=\dfrac{\Theta}{180}\times \pi r[/tex]
[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 3.14\times 15[/tex]
[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 47.1[/tex]
[tex]\\ \sf\dashrightarrow \Theta=\dfrac{10(180)}{47.1}[/tex]
[tex]\\ \sf\dashrightarrow \Theta=\dfrac{1800}{47.1}[/tex]
[tex]\\ \sf\dashrightarrow \Theta=38.2°[/tex]
To the person trying to hlp me here :D
Answer:
47. n = -3
48. n = -15
49. n = -13/3
50. n = -17/3
Step-by-step explanation:
47.
6n + 4n = -30, so 10n = -30. Dividing by 10 on both sides, we get that n = -3.
48.
6n - 4n = -30, so 2n = -30. Dividing by 2 on both sides, we get that n = -15.
49.
6n - 4 = -30, so 6n = -26. Dividing by 6 on both sides, we get that n = -13/3.
50.
6n + 4 = -30, so 6n = -34. Dividing by 6 on both sides, we get that n = -17/3.
6(3c−5d+6)=6, left parenthesis, 3, c, minus, 5, d, plus, 6, right parenthesis, equals
distributive property
In this problem, the distributive property is very important, but there is another thing that we can look at to make this much easier. We notice that the terms on the left are being multiplied by 6. We can rewrite the right side so that it is also a multiple of 6:
6(3c - 5d + 6) = 6(1)
Now, we can divide both sides by 6, and we get:
6(3c - 5d + 6) = 6(1)
3c - 5d + 6 = 1
3c - 5d = -5
Please Help I will give brainiest to the one that is honest and right thank you!
Answer:
1/3
Step-by-step explanation:
I guess it's asking for probability of prime number
so we have 3 card and only one of them is prime (5)
so the answer is 1/3
Answer:
i would say 1/5 because it is between 2 and 12
Step-by-step explanation:
Compare -4 and 4 using <,>,or =
Answer:
-4 < 4
Step-by-step explanation:
-4 is less than 0
4 is greater than 0
-4 < 4
If D is the midpoint of AB and AB = 15, what is AD?
7.5
15
22.5
30
Answer:
AD=7.5
Step-by-step explanation:
If AB=15 and D is the midpoint that means AD=DB which is half of AD,
AD=AB/2
AD=15/2
therefore AD=7.5
[tex] \frac{1}{ \sqrt{2} + 1 } + \frac{1}{ \sqrt{2} + \sqrt{3} } + ... + \frac{1}{ \sqrt{n + 1} + \sqrt{n} } \leqslant 20[/tex]
help....................
Answer:
all i see is ..........
Step-by-step explanation:
My backyard is 5.5 metres by 12 metres. (That is a length of 5.5 m and a width of 12 metres). I have poured a concrete slab in the top right corner where I have placed my shed which is 3 metres by 3 metres. I am also going to create a flower bed which will be half a metre from the fence on the left side and top end of the backyard; hugging the fence.
I need to order buffalo grass to cover the rest of the space. How much square metres worth of Buffalo Grass will I need?
How much will it cost me considering that Bunnings sell Buffalo Grass for $14.20 per metre squared?
Step-by-step explanation:
7+7.857836-$(92726940)
if Mr. Davis ate 20 of the 50 chocolate chip cookies from the bag,what percent of the bag of cookies did he eat?
Answer:
He ate 40% of it
Step-by-step explanation:
20/50 is 2/5, which is basically 4/10 therefore equaling 40%
In a three digit number, the tens digit is thrice the unit digit and hundred’s digit is
twice the unit digit. If the sum of all three digits is 12. Find the number.
a.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation giving the median salary y in terms of the year x. (Let y be in millions of dollars and let
x = 7
represent 2007.)
b.) Use the equation to predict the median salary in 2048. (Round your answer to one decimal place.)
$ million
A general linear equation is given by:
[tex]y = a*x + b[/tex]
Where a is the slope and b is the y-intercept.
Here we will find that the linear equation that represents the situation is
[tex]y = 0.033*x + 1.269[/tex]
And we can expect that the median salary in 2048 is $2.853 million
If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that:
in 2007 (x = 7) the median player salary was y = $1.5 million
in 2013 (x = 13) the median player salary was y = $1.7 million.
Then we have two points that we can write as:
(7, 1.5)
(13, 1.7)
Note that the y-value is in millions.
Then the slope of the linear equation will be:
[tex]a = \frac{1.7 - 1.5}{13 - 7} = 0.033[/tex]
So the linear equation is something like:
[tex]y = 0.033*x + b[/tex]
To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:
[tex]1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269[/tex]
Then the linear equation is:
[tex]y = 0.033*x + 1.269[/tex]
b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48
So we just need to evaluate this in the linear equation:
[tex]y = 0.033*48 + 1.269 = 2.853[/tex]
Then the median salary in 2048 will be $2.853 million
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give an example of a true statement that has a false converse?
it’s for geometry math.
There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".
The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.
------------------------
Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
20y - 16x = 120
Answer:
15
2
Submit Answer
PLS HEP ASAP
alright I can help!!
so slope intercept form is y= mx +b
20y=16x+120
y=(16x+120)/20
final answer: y=(4/5)x +6
Plz help me with this binary division whith full process/explanation 1001010 ÷ 101
Answer:
Step-by-step explanation:
Its like doing a long division with base 10 numbers:
1110 <----------- Quotient
101)1001010
101
1000
101
111
101
100
So the answer is 1110 remainder 100.
We can confirm this by converting to decimal numbers
1001010 = 74 and 101 = 5.
74 / 5 = 14 remainder 4.
what is the solution to the system of equations y=x-2 2x+2y=4
Answer:
2
Step-by-step explanation:
2x+2(x-2)=4
2x+2x-4=4
4x=4+4
4x=8
X=8÷4
X=2
Solve for c. b/c = a
Answer:
b / a.
Step-by-step explanation:
b / c = a
b = a * c
a * c = b
c = b / a.
Hope this helps!
A) A quadrilateral has two pairs of parallel sides and no right angles what two shapes could it be
B) A quadrilateral has one pair of parallel sides what shape could it be
Step-by-step explanation:
A. parallelogram & Rhombus
B. trapezium
Which factored form is equivalent to the expression x2+ 5x +4
5(2x−3) Simplify the Expression
Answer:
[tex]10x−15[/tex]
Step-by-step explanation:
[tex]5(2x−3)[/tex]
[tex]5(2x)+5( −3)[/tex]
[tex]10x+5(−3)[/tex]
[tex]10x−15[/tex]
Hope it is helpful....Answer:
[tex]10x + 15[/tex]
Step-by-step explanation:
[tex]5(2x−3) [/tex]
[tex]5(2x)+5(−3)[/tex]
[tex]10x + 15[/tex]
Hope it is helpful......(5m-4)/6 -1 = 4m - (3m+10)/2
Solve linear equation
Step-by-step explanation:
figure 1,2 respectively..
-1.4 is your answer
hope it helps
Mandy emptied the bags and put the candy into equal groups.How many candies were in each group?
Answer:
25
Step-by-step explanation:
40+76+84 = 200.
200 ÷ 8 = 25
Answer: 25.
fill the blanks.......
Step-by-step explanation:
(p+1)³
p³+3×p²×1+3×p×1²+1³
p³+3p²+3p+1
I hope it helped U
stay safe stay happy
I hope it will be helpful to you .
Write the rational numbers whose multiplicative inverse are themselves
Answer:
the rational numbers whose multiplicative inverse are themselves are 1& -1.hope it helps .stay safe healthy and happy.