Answer:
Step-by-step explanation:
It is a right triangle. The hypotenuse is 6+9=15.
Pythagorean Theorem: 9² + ?² = 15²
?² = 15² - 9² = 225 - 81 = 144
? = √144 = 12
how do i write 0.87 in words
zero pint eight seven ......
State whether the following mapping represents a function. Then give the domain and range.
Answer:
Please check the explanation.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Let us create the table from the given mapping
x y
2 20
2 40
4 40
3 30
From the table, it is clear that the input x = 2 is repeated twice. In other words, the input x = 2 is duplicated.
i.e. at x = 2, y = 20 and at x = 2, y = 40As we know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, the given relation/mapping DOES NOT represent a function.
Determining the domain of a relation:
We know that the domain of the relation is the set of all the x-coordinates of the given points or ordered pairs.
Thus, the domain of the relation in ascending order is:
Domain D = {2, 3, 4}
Please note the duplicated elements in the domain or range of a relation are written only once.Determining the range of a relation:
We know that the range of the relation is the set of all the y-coordinates of the given points or ordered pairs.
Thus, the range of the relation in ascending order is:
Domain D = {20, 30, 40}
Pentagon VWXYZ below has an interior angle sum of 540°. Pentagon V W X Y Z. Angle Z is 94 degrees, angle Y is 120 degrees, angle X is 120 degrees, angle W is 94 degrees, and angle V is unknown. What can be determined about Angle V? Angle V is a right angle that measures 90°. Angle V is an acute angle that measures less than 90°. Angle V is a straight angle that measures 180°. Angle V is an obtuse angle that measures 112°.
Answer:
D.) <V is an obtuse angle that measures 112.
yw ig
Answer:
D
Step-by-step explanation:
yes
Select the expression equivalent to -81 x + 27.
A -9(9 x - 3)
B -9(-9 x - 3)
C 3+ (-27 x +9)
D -3(-27 x +9)
Answer:
B -9(9x-3)
Step-by-step explanation:
b/c -9(9x-3) means -9×9x-(-3)
= -81x+27
if you say why -(-3) is +27, I will say b/c negative times negetive it give us positive. and if you they why we don't add -81x and 27, I will say b/c they are not like terms.
like terms : are terms with the same variable and same exponent.
example:2x and 3x,5xy and 9yx and etc....
if it helpful ❤❤
THANK YOU
Lee Jenkins worked the following hours as a manger for a local Pizza Hut 16 1/4, 5 3/4, and 7 1/2 how many total hours did lee work
Answer:
29.5 total hours.
Step-by-step explanation:
Answer:14 1/4+5 1/4+ 8 1/2+ 7 1/4
Step-by-step explanation:
what is the correct solution of
4 - 2x = -2
+4 +4
2x = 2
2 2
x = 6
Out of 1,400 students, 60% have a dog. How many students have a dog?
Answer:
840
Step-by-step explanation:
Answer:
840 students have a dog
Step-by-step explanation:
0.60 * 1400=
840 have a dog
extra answer: 560 do not have a dog
A hardware store rents vacuum cleaners that customers may use for part or all of a day before returning. The store charges a flat fee plus an hourly rate. Write a linear function for the total rental cost, f(x), of a vacuum cleaner after x hours of rental. *
Answer:
f(x) = bx + y
Step-by-step explanation:
Linear functions are very easy as you simply need to multiply the cost per hour (in this scenario) by the total number of hours that the individual is renting the vacuum for. Then you simply add any indpendent value such as the flat fee that the hardware store charges. We can use these values to create the following function.
f(x) = bx + y
where:
b = hourly rate
x = hours of rental
y = flat fee
the sides of a triangle can be represented by 2x, 4x-7, 16+x. If the perimeter is 65, whats the length of the shortest side of the triangle?
the ratio lf twizzlers to peanut butter cups in a candy bowl is 3 to 8 create a ratio table that represents this relationahip. Include at least 5 entries that compare the number of twizzlers and peanut butter cups in the candy bowl.
T PB
3 8
6 16
9 24
12 32
15 40
When one increases the other increases, so you multiply them both by 2 to get the first column, 3 for the third, 4 for the fourth, and finally 5 for the fifth. Which gives you T as 3, 6, 9, 12, and 15 while PB is 8, 16, 24, 32, and 40. These are your 5 entries.
help help help help help
Answer:
0.1944
Step-by-step explanation:
write an equation in point slope form of the line that passes through the point (-8,-2) and had a slope of m=5
Answer:
5x - y + 38 = 0
Step-by-step explanation:
solution:
slope(m) = 5
(x1 , y1) = (-8 , -2)
we know that,
(y - y1) = m(x -x1)
or, (y - -2) = 5(x - -8)
or, y+2 = 5(x + 8)
or, y+2 = 5x +40
or, 5x - y + 38 = 0 is the required equation
what id the differance between 10 and 12?
Answer:
2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
at least I think it is
Evaluate:
65−15÷5 +(−19)
Answer:
43
Step-by-step explanation:
65-15/5+(-19)
65-3+(-19)
62-19=43
Akiko shot 204 baskets in 17 minutes. Find her basket rate in baskets per minute
Answer:
204/17
Step-by-step explanation:
and then you should get your answer
Answer:
12 baskets/per minute
Step-by-step explanation:
so u know that she can shoot in 204 baskets in 17 u just need to take 204 divided by 7 to figure out how many she makes per minute. ( 204 ÷ 7 = 12 )
[tex]a=\sqrt{b+6[/tex]
Factor out the greatest common factor
Answer:
too ;long
Step-by-step explanation:
sory lol
find the length of side AB and the measure of angle E.
Answer:
c
Step-by-step explanation:
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? The greatest number of t-shirts that the Sports Committee can purchase is .
Answer:
The greatest number of t-shirts that the Sports Committee can purchase is 232.
Step-by-step explanation:
The student council raised $2,790 during its annual fundraiser.
Each t-shirt costs $12.
The total cost of buying x t-shirts is given by:
[tex]T(x) = 12x[/tex]
What is the greatest number of t-shirts the Sports Committee can purchase?
The total cost has to be lesser, or equal, to 2790. So
[tex]T(x) \leq 2790[/tex]
[tex]12x \leq 2790[/tex]
[tex]x \leq \frac{2790}{12}[/tex]
[tex]x \leq 232.5[/tex]
Since you cant buy half a shirt.
The greatest number of t-shirts that the Sports Committee can purchase is 232.
Quadrilaterals WXYZ and W"X"Y"Z"are similar. Identify the type of reflection
performed and the scale factor.
A)
To obtain quadrilateral W"X"Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 3.
B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/2
c) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 2.
D) To obtain quadrilateral W X Y Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/3.
Answer:
B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/2
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
If a point A(x, y) is reflected across the x axis the new point is at A'(x, -y)
Dilation is the enlargement or reduction in the size of a figure by a scale factor. If a point A(x, y) is dilated by a scale factor of k about the center of origin, the new point is at A'(kx, ky).
The vertex of Quadrilaterals WXYZ is at W(-6, 8), X(-2, 8), Y(-2, 2), Z(-6, 8) while the vertex of Quadrilaterals W"X"Y"Z" is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
If quadrilateral WXYZ is reflected across the x-axis, the new coordinates would be at W'(-6, -), X'(-2, -8), Y'(-2, -2), Z'(-6, -8). If the quadrilateral is then dilated with a scale factor of 1/2, the new point is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
Which of the following equations correctly describes the graphed line?
y = -1/2x - 5
y = -1/2x + 5
y = 1/2x + 5
y = 1/2x - 5
Answer:
Option C i.e. y = 1/2x + 5 is the correct option.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptGiven the points
A(4, 7)
B(-4, 3)
Determining the slope between A and B
(x₁, y₁) = (4, 7) (x₂, y₂) = (-4, 3)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 7] / [-4 - 4]
= -4 / -8
= 4/8
= 1/2
Thus, the slope of the line = m = 1/2
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now substituting m = 1/2 and b = 5 in the slope-intercept form
y = mx+b
y = 1/2x + 5
Therefore, the equation of line in the graph is:
y = 1/2x + 5
Thus, option C i.e. y = 1/2x + 5 is the correct option.
HELP PLEASE !!! :)))))
Answer: the person has high blood sugar Levels
Step-by-step explanation:
The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour. Suppose that we want to compute probabilities about the average daily downtime for a period of 30 days.
i. What assumptions must be true to use the result of Theorem 7.4 to obtain a valid approximation for probabilities about the average daily downtime?
ii. Under the assumptions described in part (i), what is the approximate probability that the average daily downtime for a period of 30 days is between 1 and 5 hours?
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
give me stuff thats equivalent to 2/10
plz
i dont know my mafs
ANB Leasing is planning to lease an asset costing $210,000. The lease period will be 6 years. At the end of 6 years, the salvage value is estimated to be $30,000. The asset will be depreciated on a straight-line basis of $30,000 per year over the 6-year period. ANB's marginal income tax rate is 40%, but its average tax rate is only 31.5%. Assuming ANB Leasing requires a 12% after-tax rate of return on the lease, determine the required annual beginning of the year lease payments. a. $52,653 b. $45,609 c. $46,120 d. $31,592
Answer:
52653
Step-by-step explanation:
SKFN SNZc ZBSIC HNSDIPBV DVNSBNCNSVB
The expression 10s+5m represents a student’s score on a social studies test, where s = the number of correct short answer items and m = the number of correct multiple choice items. Noor answers 16 multiple choice items correctly. She does no answer any short answer items correctly. What is Noor’s score?
A. 31
B. 15
C. 80
D. 160
Can you explain how u got 31?
Write an equation in slope
intercept form that passes
through (-5, -4) and
(-2,-7).
Answer:
y = x + 1
Step-by-step explanation:
slope/m = -3/3 = -1
b/y-inter = 1
If you have $100 and then get $40 more, what is the percent change?
Answer:
40%
Step-by-step explanation:
40 is 40% of 100, you don't need a calculator for that, so, it's a 40% increase
hope this helps:)
In a orchestra , 10% the musicians play brass instruments. 15% play woodwin and, %5 play percussion .The other 28 musicians olay stringed insturments.
how many musicians are in the orchestra altogther?
What is the domain for the equation x = -2?