Answer:
Not equal to.
Step-by-step explanation:
PLEASE HELP
List the key features of the quadratic function y = x2 + 6x – 16.
Question 1 options:
A)
x-intercepts: (–8,0) and (2,0), y-intercept: (0,–6), vertex (–3,–25).
B)
x-intercepts: (–8,0) and (2,0), y-intercept: (0,16), vertex: (–3,–25).
C)
x-intercepts: (8,0) and (–2,0), y-intercept: (0,–16), vertex: (–3,–25).
D)
x-intercepts: (–8,0) and (2,0), y-intercept: (0,–16), vertex: (–3,–25).
Study the figure.
Find the area of the shaded region. Use 3.14 for it and round your answer to the nearest hundreth.
Answer:
So we know the formula to calculate the area of the circular sector:
S=(r^2*π*a)/306°=
(5^2*3.14*40°)/360°= (1000*3.14) /360=8.72cm^2 so the right alternative should be the first one ,A.
Step-by-step explanation:
r - radius of the circle
a - corner of the circular sector
S - surface
You spent 9.5 hours playing Among Us
this week. This is 2.75 hours more than the
number of hours h you played last week.
Which equation can be used to find h?
A. 9.5=2.75-h B. 9.5= h+ 2.75 C. 2.75= h-9.5 D. 2.75= h+9.5
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the values of x and y
help me plz!!
Answer:
24=5y+3y
8y=24
y=3
x+x+9y+5=90
2x+9(3)+5=90
2x=58
x=29
Step-by-step explanation:
Suppose line g is the line with the equation y = x. Given A(7, -3), B(7, 3), and C(-1, -7), what are the coordinates of the vertices of ΔA’B’C’ for the reflection?
Answer:
Below in bold.
Step-by-step explanation:
A reflection in the line y = x is described as;
(x, y) ---> (y, x)
So, A' = (-3, 7)
B' = (3, 7)
C' = (-7, -1).
What are the coordinates of point B in the diagram?
A. (3.25, -2.5)
B. (4, -5)
C. (1, 3)
D. (2.5, 0)
Answer:
the answer is B, because the x is increasing by .75 and y is deceasing by 2.5
Step-by-step explanation:
Reason
A library has 144 books. A long
shelf can fit 100 books. A short shelf can fit 10 books.
The books that are left over can be put in a bin.
Draw two ways to sort books on a shelf.
100 books can be kept in the long shelf and the 10 books can be kept in the short shelf.
The remaining 34 books can be kept in the bin.
Given, a library has 144 books. A long shelf can fit 100 books. A short shelf can fit 10 books.
The books that are left over can be put in a bin.
Now, we have to find the way to sort the books on a shelf.
So, we can put the books in this fashion,
100 books can be kept in the long shelf and the 10 books can be kept in the short shelf.
The remaining 34 books can be kept in the bin.
Hence, 100 books can be kept in the long shelf and the 10 books can be kept in the short shelf.
The remaining 34 books can be kept in the bin.
Learn more about Unitary Method here https://brainly.com/question/28627316
#SPJ9
Find the surface area of the solid figure represented by the given net. 65 cm 2 250 cm 2 40 cm 2 90 cm 2
Answer:
55,500 cm².
Given:
To find the surface area of the solid figure represented by the given net, we first have to identify the shape of the figure. By analyzing the net, we can see that the figure is a rectangular prism with a length of 65 cm, a width of 40 cm and a height of 250 cm. To find the surface area of a rectangular prism, we use the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values, we get:
Steps:
2(65)(40) + 2(65)(250) + 2(40)(250) = 13,000 + 32,500 + 10,000 = 55,500 cm²
Get:
Therefore, the surface area of the solid figure represented by the given net is 55,500 cm².
Answer:
600 cm².
Step-by-step explanation:
The net provided represents a three-dimensional solid figure. The surface area of this figure can be calculated by finding the area of each individual face and adding them together. The net includes six faces, each of which have different dimensions. The areas of these faces are: 65 cm², 250 cm², 40 cm², 90 cm², 90 cm², and 65 cm². Adding them together, we get a total surface area of 600 cm². Therefore, the surface area of the solid figure represented by the given net is 600 cm².
In the following question, we will count distinct integer solutions to the equation X_1 + X_2 + X_3 + X_4 = 35. How many solutions are there if all the variables must be non-negative? How many solutions are there if all the variables must be positive? How many solutions are there if X_1 greaterthanorequalto 2, X_2 greaterthanorequalto 4, X_3 greaterthanorequalto 0, and X_4 greaterthanorequalto 0? How many solutions are there to the equation X_1 + X_2 + X_3 + X_4 lessthanorequalto 35 in which all the X_i are non-negative?
There are 364 positive variables and 5984 non - negative integers.
An integer is zero (0), a positive integer (1, 2, 3, etc.), or a negative integer with a minus sign (-1, -2, -3, etc.). [1] A negative number is the additive reciprocal of the corresponding positive number. [2] In mathematics languages, sets of integers are often represented by a bold Z or blackboard bold . The integers form the smallest group and smallest ring containing the natural numbers. In algebraic number theory, integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that are also rational numbers.
Let us take each xi = a₁+1
x₁+x₂+x₃+x₄ = 35
∴a₁+a₂+a₃+a₄ = 31 ,where each ai is non-negative.
Now using the stars and bars method the answer is -
(\(\left \{ {{31 + 4 - 1} \atop {4 - 1}} \right.\) = \(\left \{ {{34} \atop {3}} \right.\)}
= \(\frac{34!}{3! * (34 - 3)!}\)
= 5984
A particular solution of this equation corresponds to the placement of 3 addition signs in the 14 spaces between successive ones in a row of 15 ones.
Since, a particular solution of the equation corresponds to the placement of k−1 addition signs in the n−1 spaces between successive ones in a row of n ones, the number of solutions of the equation x₁ + x₂ + x₃ +⋯+xₐ=n in the positive integers is
\(\left \{ {{n - 1} \atop {k - 1}} \right.\)}
For instance, placing an addition sign in the fourth, seventh, and twelfth spaces gives
1111+111+11111+111
which corresponds to the solution x₁ = 4, x₂ = 3, x₃ = 5, x₄ = 3.
Hence, the number of such solutions is the number of ways we can select which three of the 14 spaces between successive ones in a row of 15 ones will be filled with addition signs, which is
\(\left \{ {{14} \atop {3}} \right.\)}
= \(\frac{14!}{3! * (14 - 3)!}\)
= 364
Therefore, there are 364 positive variables and 5984 non - negative integers.
Learn more about Integer:
https://brainly.com/question/15276410
#SPJ4
how can we solve them using the appropriate method of differential equation:
1. ( 1 + x^4 ) dy + x ( 1 + y^2 ) dx = 0
2. xy dx - x^2 dy = y sqrt( x^2 y^2 ) dy
Answer:
i need help too im ay m sad now
What is x+3y=2 equivalent to
Answer:
x = 3(y - 2/3)
Step-by-step explanation:
x = 3(y - 2/3)
Distribute through the parenthesis
x = 3y - 6/3
REDUCE
x = 3y - 2
So, your answer is : x = 3(y - 2/3)
Some values of functions f, g, h, and k are provided in the table on the right.
Find a possible equation of each function Verify your results with a graphing
calculator table. (HINT Use linear or exponential equations]
The equation of function f is f(x) =?
Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.
It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.
Show all steps to illustrate the process that are used to get the results.
Bill likes to walk his dog on the sidewalk that goes around the edge of the city park. The park is a square and each side has a length of 500 feet. Approximately, how many times does Bill need to walk around the park in order to complete a 5 mile walk?
Bill needs to walk around the park approximately 13 times to complete a 5-mile walk.
What is the conversion of units?
Unit conversion is the process of converting a quantity expressed in one unit of measurement to another unit of measurement that is equivalent in terms of the quantity being measured.
To complete this problem, we need to convert 5 miles to feet and then divide by the distance Bill walks around the park once. Here are the steps to solve the problem:
Convert 5 miles to feet:
1 mile = 5280 feet (by definition)
5 miles = 5 x 5280 = 26,400 feet
Find the distance Bill walks around the park once:
The park is a square with sides of 500 feet, so the distance Bill walks around the park once is the perimeter of the square, which is:
Perimeter = 4 x Side
Perimeter = 4 x 500
Perimeter = 2000 feet
Divide the total distance Bill needs to walk by the distance he walks around the park once:
Number of times around the park = Total distance / Distance around the park once
Number of times around the park = 26,400 / 2000
Number of times around the park = 13.2
Round the answer to the nearest whole number:
Bill needs to walk around the park approximately 13 times to complete a 5-mile walk.
Therefore, Bill needs to walk around the park approximately 13 times to complete a 5-mile walk.
To learn more about the unit conversion visit:
https://brainly.com/question/97386
#SPJ1
A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
Learn more about Prism here:
https://brainly.com/question/12649592
#SPJ1
Mark's football team has scored about 24 points each game. They played 12 games this season.
What is the best estimate for the total number of points they scored in the season?
Answer:
36
Step-by-step explanation:
well you could add 24+12 which equals 36
answer and show proof for brainliest
Answer:
12
Step-by-step explanation:
Add each number given = 132
132 / 6 (amount of given numbers)
=12
A jet leaves a runway whose bearing is N 35°E from the control tower. After flying 4 miles, the jet turns 90° and flies on a bearing of S 55° E for 5 miles. At that time, what is the bearing of the jet from the control tower?
A jet leaves a runway whose bearing is N 35°E from the control tower. After flying 4 miles, the jet turns 90° and flies on a bearing of S 55° E for 5 miles the bearing of the jet from the control tower is mathematically given as
N76.675E
What is the bearing of the jet from the control tower?Generally, the equation for horizontal distance is mathematically given as
sin<AOC=\frac{AC}{OA}
Therefore
sin <AOC=\frac{AC}{5}
AC=4
and
BE=3.6
Total horizontal distance=4+3.6
Total horizontal distance=7.6
For Total vertical distance
cos<AOC=OC/OA
cos<AOC=OC/5
OC=3
and
A.E=4.8
Total vertical distance=3-4.8
Total vertical distance=-1.3=E.C=y
In conclusion, the angle
\(\theta=tan{-1} \frac{-1.3}{7.6}\)
\(\theta= -13.324\)
Hence
90-13.324=N76.675E
Read more about Arithmetic
https://brainly.com/question/22568180
#SPJ1
Hosting a dinner party for 38 people, you plan to serve peach pie for desert.
Each pie has 8 slices.
How many slices are in each pie?
Answer:
40 slices
Step-by-step explanation:
I rounded 38 to 40 and divided by 8
e
value of x:
3/2 (x – 4) = 2(3x + 1)
Answer:
Step-by-step explanation:
Please help this question is asking about the volume of a hemisphere and cylinder?
Answer:
pppppppppppppppppppppppppppppppppppppppppp
i don't understand how to do this.. can someone help, please
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
Read more on parallel lines here: https://brainly.com/question/12783631
#SPJ1
What is the area, in square centimeters, of the isosceles trapezoid below?
Answer:
\(84 {cm}^{2} \)
Step-by-step explanation:
I added a photo of my solution
Which inequality is represented by the graph?
The inequality on the graph is the third option:
(2/5)*x - 3/2 ≥ y
Which inequality is represented by the graph?Let's analyse the graph if the inequality.
We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:
y ≤ linear equation.
We know that the symbol "≤" must be used because of the solid line.
We also can see that when x = 0, y takes a velue between -1 and -2.
With that in mind the correct option is the third one:
(4/5)*x - 2y ≥ 3
Isolating y we get:
(4/5)*x - 3 ≥ 2y
(2/5)*x - 3/2 ≥ y
Changing the order:
y ≤ (2/5)*x - 3/2
That is the graphed inequality.
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
11. C and d are complementary angles.
C= (3x + 8)° and D= (2x – 8)°. Find the value of x.
1.
What is the basic determinant of (a) the transactions demand and (b)
the asset demand for money? Explain how these two demands can be
combined graphically to determine total money demand. How is the
equilibrium interest rate in the money market determined?
How
might (a) the expanded use of credit cards, (b) a shortening of worker pay periods and (c) and increase in nominal GDP each independently affect the transactions demand for money, and the equilibrium interest rate?
The transactions demand for money is the demand for money that is used to make purchases. The equilibrium interest rate refers to the interest rate at which the quantity of money supplied is equal to the quantity of money demanded.
The use of credit cards, a shortening of worker pay periods, and an increase in nominal GDP each independently affects the transactions demand for money and the equilibrium interest rate. Here's how:Expanded use of credit cards Credit cards are generally associated with a higher level of spending than cash, which would increase the transactions demand for money. However, as the use of credit cards expands, people may hold less cash, which would decrease the transactions demand for money. The equilibrium interest rate could increase as the increase in spending raises the quantity of money demanded and the cost of borrowing.Shortening of worker pay periodsThe shortening of worker pay periods would increase the transactions demand for money because people would need more money on hand to pay bills and make purchases. The equilibrium interest rate could increase if the increased transactions demand for money raises the quantity of money demanded.Increase in nominal GDPAn increase in nominal GDP would increase the transactions demand for money as people would have more money available to spend. The equilibrium interest rate could increase as the increase in GDP raises the quantity of money demanded and the cost of borrowing.For such more question on equilibrium
https://brainly.com/question/517289
#SPJ8
What is the domain of f(x) = 9 - x^2
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Locate the vertex of the parabola.
Tap for more steps...
(
0
,
9
)
The range of a parabola that opens down starts at its vertex
(
0
,
9
)
and extends to negative infinity.
Interval Notation:
(
−
∞
,
9
]
Set-Builder Notation:
{
y
|
y
≤
9
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
9
]
,
{
y
|
y
≤
9
}
image of graph
PLEASE HELP!!! due today!!
Answer:
The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Step-by-step explanation:
We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:
P = 7200/D
To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
So the distance between supports needed to carry 1600 lb is 4.5 feet.
To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
Learn more about tiles in: https://brainly.com/question/18257982
#SPJ1
The rate of growth of the population of a city is predicted to be the following, where p is the population at time t is measured in years from the present. dp dt = 1000t1.07 Suppose that the current population is 100,000. (a) What is the predicted rate of growth 7 years from the present? (Round your answer to the nearest integer.) people per year (b) What is the predicted population 7 years from the present? (Round your answer to the nearest integer.)
predicted rate of growth of population after 7 years = 7490.
Population 7 years from the present = 126215
What is population growth rate?Generally, rate of change of population over the time is termed as population growth rate.
What is the predicted rate of growth 7 years from the present and predicted population 7 years from the present?
given, rate of growth of population of a city, dp/dt = 1000t ×1.07
where. p is the population at time t.
predicted rate of growth 7 years from the present = 1000×7×1.07
= 7490
we rewrite the equation, dp = (1000t ×1.07)dt
integrating the both side,
∫dp = ∫dt (1000t×1.07)
p = 1/2 (1070 t²) +c [ c is integration constant]
p = 535 t² + c
we are given. current population = 100000
let, at present time t = 0
100000 = 0 + c
c = 100000
hence, predicted population after 7 years from present, p = 535 × (7)² + 100000
p = 126215
To know more about rate of population growth visit:
https://brainly.com/question/1320989
#SPJ1
A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a diamond or a spade.
Answer:
2/13
Step-by-step explanation:
For a deck of card
Total cards = 52
Total spade = 4
Total diamond = 4
pr(drawing a spade) = number of spade/total cards
pr(drawing a spade) = 4/52 = 1/13
pr(drawing a diamond) = 4/52 = 1/13
Pr(diamond or a spade) = 1/13 + 1/13 = 2/13