Answer:
[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.[/tex]
Step-by-step explanation:
If we call "x" the number of call minutes used with this plan, the piecewise function used to describe it must represent;
a) a constant value of 29 for any x value smaller than or equal to 250
b) a line with positive slope of 0.35 for the region with x larger than 250. The mathematical representation of such increasing straight line, should be given by a line of slope m = 0.35, and containing the point (250, 29) which is the starting point for this right hand side portion of the domain:
[tex]f(x)=0.35(x-250)+29\\f(x)=0.35 x-87.5+29\\f(x)=0.35 x-58.5[/tex]
So the function should look like:
[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.[/tex]
or as shown above, in a more simplified form:
[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {0.35x-58.5\,\,\,for \,\,x>250}} \right.[/tex]
How many yellow-collared macaws would
have a combined mass of 1 kilogram?
PLS HELP BEST ANSWER GETS BRAINLESST AND A FOLLOW
Please help me .............
Answer:
The first one.
Step-by-step explanation:
For something to be considered to be a graph, every x value must have 1 y value. It does not matter if y values are the same, but you MUST make sure there is ONLY ONE of each value. So for example the second one wouldn't be a function because -5 appears twice for the x values, but with different y values. This would mean when graphed, it would fail the vertical line test (if you put a vertical line anywhere on the graph you will only get one point).
Answer:
The first one
Step-by-step explanation:
because it is the only one that actually applies to the function
Solve the equation using square roots.
[tex](x+2)^{2} = 36[/tex]
Answer:
x = 4, x = - 8
Step-by-step explanation:
(x+ 2)² = 36
√(x+2)² = + √36 √(x+2)² = -√36
x+2 = 6 x+2 = -6
x= 4 x = - 8
I need help plz I’m confused will mark as Brainliest
Answer:
64π
Step-by-step explanation:
1.Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the value of g. Do NOT include degrees.
2.Find the area of the unshaded part of the figure
3. In the figure, angles c and e are vertical angles. Angles a and c are complementary angles. The measure of angle d is 124 degrees and the measure of angle c is 56 degrees.
Answer:
See below;
Step-by-step explanation:
1 . Consider the step below;
[tex]m< DCA = 90 degrees - Given ,\\m< ACB = 180 degrees - Straight < ,\\\\m< DCA + m< DCB = 180,\\m< DCB = 90 degrees,\\\\By Parts Whole Postulate - m< DCB = m< DCE + m< ECB,\\m< DCB = m< DCE + m< ECB,\\90 = 53 + g,\\Conclusion ; ( g = 37 degrees )[/tex]
Thus, Solution ; g = 37 degrees
2 . Knowing that these circle are " circumscribed " in this rectangle so that they are perfectly aligned, considering the length of this rectangle to be 20 inches, let us determine the radius;
[tex]Diameter Of 1 Circle - ( 20 inches ) / 4 = 5 inches,\\Radius of 1 Circle = ( 5 inches ) / 2 = 2.5 inches,\\\\Area of 1 Circle = \pi r^2 = \pi * ( 2.5 )^2 = 6.25\pi,\\Area of 4 Circles = 6.25\pi * 4 = 25\pi,\\Area of 4 Circles = Area of Shaded Region,\\\\Conclusion ; Area of Shaded Region = 25\pi[/tex]
Thus, Solution ; 25π
3. Let us first consider the given, then solve for the value of a, b, e;
[tex]Angles c + e - Vertical Angles,\\Angles a + c - Complementary,\\( a + c ) = 90,\\Angle c = 56 degrees,\\a + 56 = 90,\\Conclusion ; a = 34 degrees,\\\\[/tex]
[tex]m< e = m< c,\\Conclusion ; e = 56 degrees[/tex]
[tex]m< e + m< a + m< b = 180 - Straight Line,\\56 + 34 + m< b = 180,\\m< b = 180 - 56 - 34,\\Conclusion ; b = 90 degrees[/tex]
Solution; a = 34°, b = 90°, e = 56°
Simplify by dividing 3/5 ÷ (-9/4)
Answer:
4/15
Step-by-step explanation:
You would have to multiply the fractions, but first reciprocate the dividend.
3/5 * 4/9
Multiply
3 * 4 = 12
5 * 9 = 45
12/45
Simplify using LCM, or the factor that applies to both sides which in this case is 3
12/3 = 4
45/3 = 15
The answer is 4/15
Answer:
4/-15
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{-9}{4}[/tex]
Invert the second fraction and multiply
[tex]\frac{3}{5}[/tex] ×[tex]\frac{4}{-9}[/tex]
= [tex]\frac{12}{-45}[/tex]
Simplify:
=[tex]\frac{4}{-15}[/tex]
find the area of a shape shown
Answer:
the answer is 78
Step-by-step explanation:
3x6 is 18
4x3 is 12
4x3 is 12
6x6 is 36
added together it is 78
Nth term of 9,13,17,21,25,29
Answer: The next 5 numbers would be "33,37,41,45,49
Step-by-step explanation:
Area of circle =
12 x square units
36 y square units
6 Square units
What is the x-coordinate of the solution to the following system of equations? x − 2y = 2 3x + y = 6 x = −2 x = 0 x = 2 x = 3
Answer:
Answer C. x = 2
Step-by-step explanation:
Given:
x − 2y = 2
3 * ( x ) + y = 6
You need to group the x-coordinates of the system of equations.
Rewrite x − 2y = 2 , in such a way that it starts with x =...
x = 2y + 2
Substitute x = 2y + 2 in 3 * ( x ) + y = 6, which gives:
3 * ( 2y + 2 ) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
Substitute y = 0 in x = 2(y) + 2 gives x = 2*0 + 2
So x = 2, which is answer C.
x - 6x + 2x - 2x
x - 6x + 0
-5x
The x-coordinate of the solution to the following system of equations x − 2y = 2 and 3x + y = 6 is x = 2. Option c is correct.
system of equations is given as,
x − 2y = 2 - - - - (1)
3x + y = 6 - -- - - -(2)
x coordinate of the solution to the following system of equations to be determined.
the equation is the relationship between variables and is represented as a polynomial equation.
x − 2y = 2 - - - - (1)
3x + y = 6 - -- - - -(2)
From equation 1
x = 2y +2
put x in equation 2
3 (2y + 2) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
Put y = 0 in x = 2y + 2
x = 2(0) + 2
x = 2
Thus, The x-coordinate of the solution to the following system of equations x − 2y = 2 and 3x + y = 6 is x = 2.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
A cone with a diameter of 6 centimeters and a height of 8 centimeter is drilled into a wooden cube with sides measuring eight centimeters, find the volume of the wood that remains?
We began be finding the volume of each shape, the we subtracted the volume of the cone from the volume of the cube.
Volume of wood that remain = 436.6 cm^3
Volume of SolidsGiven Data
Diameter of cone = 6 cmRadius = 3 cmHeight of cone = 8 cmDimension of Cube = 8 cmLet us find the volume of the cone
Volume of cone = πr^2h/3
Volume of cone = 3.142*3^2*8/3
Volume of cone = 3.142*9*8/3
Volume of cone = 226.224/3
Volume of cone = 75.408cm^3
Let us find the volume of the cube
Volume of cube = L^3
Volume of cube = 8^3
Volume of cube = 512cm^3
Hence the volume of the wood that remains
= volume of cube - volume of cone
= 512 - 75.408
= 436.6 cm^3
Learn more about volume of solids here:
https://brainly.com/question/21036176
If two quadrilaterals are congruent, then there must be _____ pairs of corresponding sides. 8 4 2 3
Answer:
is two quadrilaterals are congruent, ten there must be 4 pairs of corresponding sides.
Answer:
4 pairs of corresponding sides
Step-by-step explanation:
if two quadrilaterals are congruent, then they have the same sides and are identical
quadrilaterals have 4 sides
therefore, each of their 4 sides are identical to each other
making the answer 4 pairs of corresponding sides.
hope this helps!!!
(btw i just took the gradpoint test and the answer was right)
15 POINTS!!!ASAP!!!HELP!!!!!! I WILl MARK THE BRANLIEST!!!The graph relates the number of gallons of white paint to the number of gallons of red paint Jess used to make the perfect print. Write an equation that describes the relationship.
Answer:
The white paint is 1.5 times the red paint. 1.5 is the same as 1 1/2 or 3/2. x = 3/2 y
Step-by-step explanation: In the graph there is one point where both x and y is a whole number. 3,2 . 3 white paint is equal to 2 red paint. You divide 3 by 2 which is 1.5, or 1 1/2 or 3/2. The relationship is that x is 3/2 times y. x = 3/2y
Use the data set to answer the question. {22,26,28,35,45,63,91} What is the mean absolute deviation (MAD) of the data set? Enter your answer as a number rounded to the nearest tenth, like this: 42.5
Answer:
[tex]M.A.D = 18.9[/tex]
Step-by-step explanation:
Given: 22,26,28,35,45,63,91
Required: Mean Absolute Deviation
The first step is to solve for the mean of the given data
[tex]Mean = \frac{\sum x}{n}[/tex]
where x->22,26,28,35,45,63,91 and n = 7
[tex]Mean = \frac{22+26+28+35+45+63+91}{7}\\Mean = \frac{310}{7}\\Mean = 44.29[/tex]
Then; subtract the calculated mean from each data
[tex]22 - 44.29 = -22.29\\26 - 44.29 = -18.29\\28 - 44.29 = -16.29\\35 - 44.29 = -9.29\\45 - 44.29 = 0.71\\63 - 44.29 = 18.71\\91 - 44.29 = 46.71[/tex]
Get Absolute Values of the above results
[tex]|-22.29| = 22.29\\|-18.29| = 18.29 \\|-16.29| = 16.29\\|-9.29| = 9.29\\|0.71| = 0.71\\|18.71| = 18.71\\|46.71|= 46.71[/tex]
Calculate the mean of the above result to get the M.A.D
[tex]Mean = \frac{\sum x}{n}[/tex]
[tex]M.A.D = \frac{22.29+18.29+16.29+9.29+0.71+18.71+46.71}{7}\\M.A.D = \frac{132.29}{7}\\M.A.D = 18.8985714286\\M.A.D = 18.9[/tex]
Which of the following equations is of a parabola with a vertex at (3, 0)?
Oy=x^2+3
o y=x^2-3
Oy= (x+3)^ 2
y=(x-3)^ 2
Answer:
D. y = (x - 3)²
Step-by-step explanation:
The parabola formula in vertex form is:
y = a(x - h)² + k
where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:
y = a(x - 3)² + 0
y = a(x - 3)²
In all possible options the leading coefficient a is equal to one. Therefore:
y = (x - 3)²
Use the formula to evaluate the series 3-9+27-81+...-ae
Answer:
( -4920)
Step-by-step explanation:
we see that the first term is 3 and the common ratio between the succeeding terms is -3. so to solve for the sum of the first 8 terms
Sum = (a1)(1 – r^n) / (1 – r)
and substituting the known terms,we got
Sum = (3)(1 – (-3)^8)/(1 - (-3)) = -4920
Then the answer = ( -4920)
Tomas has a garden with a length of 2.45 meters and a width of 5/8 meters. Use benchmarks to estimate the area and perimeter of the garden?
Answer: The area is 1 1/4. The perimeter is 6.
Step-by-step explanation: 2.45 is about 2.5. 5/8 is about 1/2. To find the area we need to multiply length times width. 2.5 is 2 and 1/2 which is 5/2. 5/2 times 1/2 is 5/4. To simplify it divide 5 by 4 which is 1 with remainder 1. 5/4 is 1 1/4. Therefore the area is 1 1/4 meters squared. To find the perimeter we have to add length + length + width + width. . 2.5 is the same thing as 2 1/2. 5/8 is about 1/2 if we use benchmarks. 2 1/2 + 2 1/2 + + 1/2 + 1/2 is 6. The perimeter is 6.
What is the probability of flipping two coins and having both coins land on tails? A. 1/2. B. 1/4. C. 1/6. D. 1
Answer:
B
Step-by-step explanation:
P=(1/2)(1/2)=1/4
What is the maximum value?
Answer:
the maximum value is 3
Step-by-step explanation:
The maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.
The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.
Given:
Length,l = x + 2Breadth,b = 3To find out:
Find the area of rectangle?
Formula used:
Area of rectangle = length × breadth
Solution:
We know that,
Area of rectangle = length × breadth
= ( x + 2 ) × 3
= 3x + 6
Find the perimeter of a square that has a side that is 4.5 meters long.
Answer:
[tex]18m[/tex]
Step-by-step explanation:
[tex]P=4a=4*4.5=18m[/tex]
Answer:
Perimeter = 18m
Step-by-step explanation:
square = has four sides
P = perimeter
P = 4 · 4.5 = 18m
Perimeter = 18m
What word describes the "4" in the expression 4x - 10?
A. Coefficient
B. Sum
C. Term
D. Product
Answer:
4 is a coefficient
Step-by-step explanation:
4x - 10
x is the variable and 4 is the coefficient since it is next to the variable
-10 is the constant
4x is a term
4x-10 is a sum
Answer:
A) Coefficient.
Step-by-step explanation:
The recipe calls for 5 cups of strawberries for every 3 cups of whipped
cream. Write this comparison as a ratio.
OA) 5:3
OB) 3:5
OC) 5>3
OD) 3/5
Answer: OA) 5:3
Step-by-step explanation:
5:3
5 to 3. Or 5/3. Are the 3 ways that you.can write a ratio.
Answer:
OA, OB, OD
Step-by-step explanation:
It does depend on which side each number is on. If you are comparing the stawberries to whipped cream it would be 5:3 (OA).
But if you were to compare whipped cream to stawberries it would be 3:5 (OB) or 3/5 (OD)
Find the area of the trapezoid PART. Need this done by Saturday 6/5/20 11:00 AM
Answer:
Area(PART)= 7.5 u^2
Step-by-step explanation:
RT=1 unit
PA=4 units
Distance between T (or R) and PA= 3 units
RT;PA = Bases
T (or R)--> PA= Altitude/Height
Area of trapezoid= Alt(B1+B2)/2
--> 3(1+4)/2
=> 3*5÷2
=15/2
=7.5
Thanks
Simplify the following expression 3^2/5 x 3^-7/5. I think it is 1/3. 3^-5/5
Answer:
1/3
Step-by-step explanation:
3^2/5 x 3^-7/5
We know that a^b* a^c = a^(b+c)
3^(2/5 -7/5)
3^ (-5/5) = 3^ -1
We know that a^-b = 1/ a^b
3^-1 = 1 / 3
1. Solve for w in the equation W/5 = 25
A.W = 5
B.W = 125
C. W = 30
D.W = 20
Answer: w = 125
Explanation: Since w is being divided by 5, to solve for w,
multiply both sides of the equation by 5.
On the left side, the 5's will cancel
and on the right side, 25(5) is 125.
So w = 125.
Please do not do this problem in your head.
Show the work that it takes to get w by itself.
r: p = 5r – 2t What is this answer please.
Answer:
1/5(p+2t) = r
Step-by-step explanation:
p = 5r – 2t
Add 2t to each side
p+2t = 5r – 22t
(p+2t) = 5r
Divide each side by 5
1/5(p+2t) = r
Answer:
[tex] r = \frac{p + 2t}{5} \\ [/tex]
Step-by-step explanation:
[tex]p = 5r - 2t \\ p + 2t = 5r \\ \frac{ p + 2t}{5} = \frac{5r}{5} \\ r = \frac{p + 2t}{5} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which is a characteristic of a studio apartment?
a)typically has multiple bedrooms
b)has multiple floors
c)has multiple units in the same building
d)has one room for the kitchen, living room, and bedroom
Answer:d
its a apartment thats just one big room
Please help with this
Answer:
x=35
Step-by-step explanation:
When a is parallel to b, the two angles will add to 180
x+ 3x+40=180
Combine like terms
4x+40 =180
Subtract 40 from each side
4x= 180-40
4x= 140
Divide by 4
4x/4 = 140/4
x=35
doing math need help on it
Answer:
386 that lay eggs
Step-by-step explanation:
440-39= 401 hens
401hens- 15= 386
Answer:
386 that lay eggs
440-39= 401 hens
401 hens- 15= 386
:-)
