Answer:
160
Step-by-step explanation:
x represents the years since 1990, so at 2030, x = 2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:
y = -0.107(40)^2 + 9.008(40) - 28.851 = 160
which is the predicted number of cellular subscriptions per 100 people in Australia in 2030
How to find quadratic equations from -1/3 and 5/6
Answer:
[tex] 18x^2 - 9 x- 5=0\\
[/tex]
Step-by-step explanation:
Let x be the variable of the required quadratic equation.
[tex] \because - \frac{1}{3} \: \& \: \frac{5}{6}[/tex] are the roots of the required quadratic equation.
[tex] \therefore \bigg(x+ \frac{1}{3}\bigg ) \: \& \: \bigg(x-\frac{5}{6}\bigg) [/tex] are factors of the required quadratic equation.
[tex] \therefore \bigg(x+ \frac{1}{3}\bigg ) \bigg(x-\frac{5}{6}\bigg) = 0\\\\
x^2 +\bigg(\frac{1}{3}-\frac{5}{6}\bigg )x+ \bigg(\frac{1}{3}\bigg )\bigg(-\frac{5}{6}\bigg )=0\\\\
x^2 +\bigg(\frac{6}{18}-\frac{15}{18}\bigg )x- \frac{5}{18}=0\\\\
x^2 +\bigg(-\frac{9}{18}\bigg )x- \frac{5}{18}=0\\\\
x^2 - \frac{9}{18} x- \frac{5}{18}=0\\\\
\huge\purple {\boxed {18x^2 - 9 x- 5=0}} \\
[/tex]
is the required quadratic equation
A pair of jeans is on sale for 25% off the original price of $75. What is the
new price?
Answer:
$56.25 is the new price
Step-by-step explanation:
75 - 18.75 = 56.25 dollars
Answer:
56.25
Step-by-step explanation:
75*.25=18.75
75-18.75=56.25
Please help me with this question I will mark you as a best answer if correct
Answer:
-2
Step-by-step explanation:
it's a negative slope (going down) and its 2/1 which makes it just -2
A point with a positive X coordinate and a negative Y coordinate is reflected over the Y axis which sentence describes the coordinates the new point
Answer:
negative X coordinate and a negative Y coordinate.
Step-by-step explanation:
positive X coordinate and a negative Y coordinate is reflected over the Y axis.
Anything reflected over the Y axis doesn't usually change the y coordinate. So it's negative X coordinate and a negative Y coordinate.
A glass ball is packed in the box shown. Which expression represents the volume of foam padding needed to fill the space in the box around the sphere in terms of Pi
Answer: (27- 4/3 pi) r^3
Step-by-step explanation: 1. Volume of a cube: V= a^3, V= 3^3 , V=27
2. Volume of a sphere: V=4/3 pi r^3 ......
The expression which represents the volume of the foam padding needed to fill the space in the box around the sphere in terms of π is option C. (27 - [tex]\frac{4}{3}[/tex] π) r³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
We have a sphere of radius r inside a cube of side length 3r.
Volume of a cube = (a)³, where a is the side length.
Here a = 3r
Volume of the cube = (3r)³ = 27r³
Volume of a sphere of radius r = [tex]\frac{4}{3}[/tex] π r³
Volume of the foam padding needed to fill the space in the box around the sphere = 27r³ - [tex]\frac{4}{3}[/tex] π r³
= r³ (27 - [tex]\frac{4}{3}[/tex] π)
Hence the volume of the space inside the cube outside the sphere is r³ (27 - [tex]\frac{4}{3}[/tex] π).
To learn more about Volume, click on the link given below :
https://brainly.com/question/13338592
#SPJ2
!!help!!
Check the picture please
Answer:
3
Step-by-step explanation:
1/2 of 30 is 15:Biennials
2/5 of 30 is 12:Perennials
1/10 of 30 is 3: Annuals
15-12=3
The area of a triangle is related to the base and height of the triangle by the formula a = bh/2. Rewrite this equation with b solved in terms of a and h.
Answer: b = 2a/h
Step-by-step explanation:
a = bh/2
multiply each side by 2
2a = bh
divide each side by h
2a/h = b
Answer:
b = 2a/h
The area of a triangle is related to the base and height of the triangle by the formula a = bh/2
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 6 tons. About how much would it cost to family to move from New York to Florida?
Answer:
this is wrong sry
Step-by-step explanation:
Answer:
$7,200
Step-by-step explanation:
1 ton is 2,000 pounds so 6 tons would be 12,000 pounds. Multiply that 0.60 and you get 7,200.
The function g(n) = n2 − 16n + 69 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)
Part C: Determine the axis of symmetry for g(n). (2 points)
Answer:
Step-by-step explanation:
A) y + ? = n^2 - 16n + ? + 69
y + 64 = n^2 -16n + 64 + 69
y + 64 = (n-8)^2 + 69
y = (n-8)^2 + 5
B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:
y = a(x-h) + k
it's a minimum only because the (a) value is positive
C) axis of symmetry = 8
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 112 ft, find its area.
Answer:
Area = 48*8=384 sq. in
Step-by-step explanation:
Perimeter = 112
Length 6x
Width =x cm
Perimeter = 2(6x+x)
Perimeter = 14x
112 = 14x x=
8 in Width
Length = 6*8=48 in
Area = 48*8=384 sq. in
Did this kinda fast but I hope it helped XD
Length of the rectangle = 48ft
Width of the rectangle = 8ft
Area of rectangle = 384 ft²
What is rectangle?Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.
Given,
Length of a rectangle is six times its width
Let width is x then length is 6x
Perimeter of rectangle = 112 ft
Perimeter of rectangle = 2(Length + Width)
2(Length + Width) = 112
2(x + 6x) = 112
7x = 56
x = 8
Width = 8 ft
Length = 6 × 8 = 48 ft
Area of rectangle = length × width
= 48 × 8
= 384 ft²
Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.
Learn more about rectangle here:
https://brainly.com/question/29123947
#SPJ2
URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WILL GIVE BRAINLIEST AND 25 POINTS!!!!!!!!!!!!!!
Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have? Discriminant = b2-4ac
0
1
2
24
Answer:
Because D = 24 and this is bigger then zero, there are two real solutions.
Step-by-step explanation:
if the discriminant (D) has a positive number, then there are two real solutions. So let's calculate the value of D.
-2x² + 3 = 0
a = -2
b = 0
c = 3
D = b² - 4 * a * c
Substitute the values of a, b and c and you get...
D = 0² - 4 * -2 * 3
D = 24
Because D = 24 and this is bigger then zero, there are two real solutions.
Answer: C(2)
Step-by-step explanation:
I just took the quiz Edg2021
WILL MARK THE BRAINLEIST Find the surface of the rectangle prism ,show all of your work
find the area of this triangle. pls help
Answer:
area is 24
Step-by-step explanation:
please help, I dont know how to do this
Answer:
[tex]\frac{y-2}{4}[/tex]
Step-by-step explanation:
Let's start by factoring everything:
[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]
[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]
Now, you can cancel out some terms:
[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]
Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:
[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]
[tex]\frac{y-2}{4}[/tex]
Hope this helps!
If f(x) = -8x - 4 and g(x)
which statement is true?
7x + 3,
Click on the correct answer.
9 is not in the domain of fºg.
9 is in the domain of fºg.
Answer:
9 is in the domain of f(g(x))
Step-by-step explanation:
f(g(x)) = -8*g(x) - 4
= -8*( 7x+3) - 4
= -56x - 24 - 4
= -56x - 28
= -28(2x + 1)
f(g(9)) = -28(2*9 + 1)
= -28*19
= -532
Since 9 can be plugged into the compound function, it is in the domain.
If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last number.
Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]
For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!
What is the value of x?
A right angle. A line comes out of the angle to split the angle into x degrees and 48 degrees.
42
48
90
132
Answer:
42
Step-by-step explanation:
According to the description given, the angles are complementary angles.
Their measurements will add up to 90°.
[tex]90 - 48 = 42[/tex]
X should be equal to 42.
Brainilest Appreciated.
The value of x in a line that splits a right angle into two is 42
What is a right angle?
A right angle is an angle formed by a perpendicular line on a straight line. The angle in a right angle is equal to 90 degrees.
From the given information, if a line comes out of the right-angled point and splits it into two halves;
where:
1st angle = x degrees2nd angle = 48 degreesThe value of the x is:
(x + 48)° = 90° (sum of angles in a right angle triangle)
x = 90° - 48°
x = 42°
Learn more about the right-angled triangle here:
https://brainly.com/question/22790996
#SPJ2
4) (3√2+4)(√2−1)=_____+√2
Response: __________
Answer:
[tex]2+\sqrt{2}[/tex]
Step-by-step explanation:
[tex](3\sqrt{2} +4)(\sqrt{2} -1) = (3*2)+4\sqrt{2} -3\sqrt{2}-4[/tex]
[tex]= 6-4+\sqrt{2}[/tex]
[tex]= 2+\sqrt{2}[/tex]
Answer:
Step-by-step explanation:
Use FOIL method
(3√2 + 4)(√2 - 1) = 3√2*√2 - 3√2*1 + 4 *√2 - 4*1
=3*√(2*2) - 3√2 + 4√2 - 4
= 3*2 - 3√2 + 4√2 - 4
= 6 - 3√2 + 4√2 - 4 {add the like terms}
= 6 - 4 - 3√2 + 4√2
= 2 + √2
Help please:( idk this
Answer:
48 degrees
Step-by-step explanation:
A triangles degrees all add up to 180
so
180-90= 90 (90 is a square corner)
90-42= 48 (42 is the other known degree)
Find the surface area of the prism.
The surface area is square meters.
Find attached to this question, the diagram of the prism
Answer:
740m
Step-by-step explanation:
The first step determine what type of Prism we are trying to solve. Looking at the diagram, the prism is a triangular prism.
The surface area of a triangular prism is calculated as
Surface Area = bh + 2ls + lb
Where
b = base = 16m
h = height = 15m
l = length = 10m
s = side edge or length = 17m
Surface Area of the triangular prism = (16×15)m + 2(10×17)m + (10×16)m +
= 740m
Answer:
740m
Step-by-step explanation:
Find the volume of the prism.
Answer:
120000000
Step-by-step explanation:
Depending on the particular body, there is a different formula and different required information you need to calculate its volume. Below are volume formulas for the most common types of geometric bodies - all of which are supported by our online volume calculator above. All measures need to be in the same unit. The result is always in cubic units: cubic centimeters, cubic inches, cubic meters, cubic feet, cubic yards, etc.
Volume calculations are useful in a lot of sciences, in construction work and planning, in cargo shipping, in climate control (e.g. air conditioning calculations), swimming pool management, and more.
A function ___ is an expression that defines a function.
a. Value
b. Rule
c. Statement
d. Relation
Answer:
Option B - Rule) is your answer
|n|=5 what is the value for n.
A -5or5
B 0 and 5
C -5 only
D 5 only
Answer:
A -5or5
Step-by-step explanation:
|n|=5
Absolute value means take the positive value of the number
|5|=5
|-5|=5
so positive 5 and -5
If f(x) = ||x|| , find f (-1/4)
a circle is centered at (-4,9)and has a radius of 11. what is the equation of the circle. use x and y
Answer:
(x + 4)^2 + (y-9)^2 = 121
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 + (y-k) ^2 = r^2 where (h,k) is the center and r is the radius
(x - -4)^2 + (y-9)^2 = 11 ^2
(x + 4)^2 + (y-9)^2 = 11 ^2
(x + 4)^2 + (y-9)^2 = 121
What is the range of 82, 135, 53, 44, 79, 36, 20, 56?
99
105
115
Answer:
The range is 115
Step-by-step explanation: To find the range of a data set you subtract the lowest value from the highest value. In this case that would be 135 minus 20 which gives you a range of 115.
help so hard!!! i need help
Answer:
1. b
2. are like terms
Step-by-step explanation:
1. this is b because when you distribute, each of the terms in the parentheses will get multiplied by 3.
2. these are like terms because they have no variables. they are just numbers so they are like terms
Tickets to a concert cost $24 before a 5% fee is added.How much are the tickets with the fee?
Answer:
$25.20
Step-by-step explanation:
10%= 2.4 because you divide 24 by 10
So 5%= half 2.4= 1.2
24+1.2=25.20
Answer:
$25.20
Step-by-step explanation:
$0.05 x $24 = $1.20
$24 + $1.20 = $25.20
The function A(x) = x2 + 5x – 14 represents the area of the plaza shown below.
If the maximum length of the plaza can be 110 meters, how does the reasonable range compare to that of the mathematical one?
The reasonable range is y ≥ 0, while the mathematical range is y ≥ –20.25.
The reasonable range is 0 ≤ y ≤ 11,110, while the mathematical range is y ≥ –20.25.
The reasonable range is –7 ≤ y ≤ 2, while the mathematical range is y ≥ –14.
The reasonable range is y ≥ 0, while the mathematical range is y ≥ –14.
Answer:
The reasonable range is 0 ≤ y ≤ 11,110, while the mathematical range is y ≥ –20.25.
Step-by-step explanation:
Answer:
B) The reasonable range is 0 < y < 11, 110, while the mathematical range is y > -20.25
Step-by-step explanation:
Find the equation of the line that passes through (-4, 8) and has a slope of -3.
Answer:
y= -3x-4
Step-by-step explanation:
Since we already know the slope, we have to plug in values to find out the constant of the equation. We use the point given to figure it out. Y+8 and x=-4, therefore 8=-3(-4)+c ---> 8=12+c. C=-4
