Answer:
Associative Property of Multiplication
Step-by-step explanation:
You are building an arc entrance over a roadway. The road under
the arc is 20 feet wide with a 6-foot sidewalk on both sides of
the road. Write an equation to accomplish this task.
The equation of the parabolic arc that accomplishes this task is:
y = (-k/256)(x - 16)² + k.
In which k is the maximum height of the arc.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the arc has these following characteristics:
Parabolic.Concave down.The peak is at half the road.The road under the arc is 20 feet wide with a 6-foot sidewalk on both sides of the road, hence it's total length is of 20 + 2 x 6 = 32 feet, and the peak of the arc will be at h = 16.
Hence:
y = a(x - 16)² + k.
The height is of 0 at x = 0 and x = 32, hence:
0 = 256a + k.
a = -k/256
y = (-k/256)(x - 16)² + k.
In which k is the maximum height of the arc.
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well give u brainliest What is the value of the function when x=−2?
Enter the answer in the box.
The value of the given function when x = -2 is; y = 1
How to interpret Linear Graphs?
We are given a linear graph as seen in the given image. Now, in graphs like these, there are input values which are x-values while there are also output values which are values on the y-axis.
Now, looking at the graph, we can see that;
At x = 5, y = -6
At x = 4, y = -5
At x = 3, y = -4
At x = 2, y = -3
At x = 1, y = -2
At x = 0, y = -1
At x = -1, y = 0
At x = -2, y = 1
Thus, we can conclude that the value of the given function when x = -2 is, y = 1
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graph the inequality
y < |x+8| -4
Answer:
Your axis will be _8 and make straight lines to (4.-4)
20,000 ten thousands equals how many hundred thousands
20,000 ten thousand equals 2000 Hundred thousand.
As per the question statement, we are provided with a value: "20,000 ten thousand".
We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.
To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, [tex](20000*10,000)=200000000[/tex].
As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.
Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as [tex](100,000*x)=200000000[/tex]
[tex]or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000[/tex]
Hence, 20,000 ten thousands equals 2000 Hundred thousands.
Linear Equation: linear equations: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.Variable: n Mathematics, a variable is a symbol or a representative of a value, which is unknown.To learn more about Linear Equations, click on the link below.brainly.com/question/27664510
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Please help!
Let z=3. Evaluate the expression.
4z - 15
12
-3
28
3
Answer:
-3 is the answer because the variable Z represents 3. we have to multiply 4 by 3 which represents Z.
Step-by-step explanation:
= 4*3 - 15
= 12 - 15
= -3
Rakeem is constructing a triangle. He knows that one side is 32 cm and another is 20 cm
What is the largest size for the last side of the triangle?
b. What is the smallest size for the last side of the triangle?
Answer:38
Step-by-step explanation:
 A company has 37 2/11
acres of land. They give the City 5 1/2 acres for park. How many acres does the company now own?
Answer:
31 15/22 acres
Step-by-step explanation:
2/11=4/22
1/2=11/22
=15/22
37-6=31
31+15/22=31 15/22
What is the value of this expression?
(5 3)
0512
0 5¹
05-¹
057
Answer:
a
Step-by-step explanation:
OSTATISTICS
Choosing the best measure to describe data
Answer the questions below.
(a) The 10 members of the swim team completed the following numbers of laps at today's practice:
76, 77, 78, 79, 82, 83, 86, 87, 89, 91.
Which measure should be used to summarize the data?
Mean
O Median
O Mode
(b) Lucy has recorded the number of miles she has driven for each of the last 9 weeks:
126, 380, 383, 385, 386, 396, 398, 404, 419.
Which measure should be used to summarize the data?
Mean
Median
O Mode
(c) A reporter has recorded the rating (G, PG, PG-13, or R) of each movie played in a theater over the
past year.
Which measure gives the most common rating?
O Mean
Median
O Mode
S
Answer:
a) Mean
b) Median
c) Mode
Step-by-step explanation:
a) The data set has no outliers, therefore taking the average (mean) would be the best.
b) The data has outliers which would skew a mean. None of the numbers repeat, therefore mode would not work, so by process of elimination, one can find that Median is the best.
c) This data set does not have numbers, therefore mean does not make sense. The most common rating would be the rating that occurs most often, which would be mode.
Write the quadratic equation whose roots are 1 and -3, and whose leading coefficient is 1.
(Use the letter X to represent the variable)
Answer:
y = x²+2x-3
Step-by-step explanation:
y = a(x-p)(x-q)
p = 1
q = -3
a = 1
y = 1(x-1)(x-(-3))
y = (x-1)(x+3)
y = x²+2x-3
what is 9/8 times 3/8
PLEASE HELP ME I NEED THIS ASAP!!!
Answer: 1. D=(7, 4)
2. D=(-2, -2)
3. D=(6, -4)
Step-by-step explanation:
1. point B goes to point C by moving right 6 units and moving down 2 units.
point A goes to point D by moving right 6 units and moving down 2 units.
A=(1, 6)
D=(1+6, 6-2)
D=(7, 4)
2. point B goes to point C by moving left 4 units and moving down 6 units.
point A goes to point D by moving left 4 units and moving down 6 units.
A=(2, 4)
D=(2-4, 4-6)
D=(-2, -2)
3. point B goes to point C by moving right 8 units and moving down 2 units.
point A goes to point D by moving right 8 units and moving down 2 units. A=(-2, -2)
D=(-2+8, -2-2)
D=(6, -4)
You start at (5, -2). You move up 2 units and left 10 units. Where do you end?
Based on the translation, your end position is (- 5, 0)
How to determine your end position?The given parameters are
Start position = (5, -2)
Navigation = You move up 2 units and left 10 units.
This can be represented as
(x, y) = (x - 10, y + 2)
So, we have:
End position = (5 - 10, -2 + 2)
Evaluate
End position = (- 5, 0)
Hence, your end position is (- 5, 0)
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Me wailer has 32 students in his class he wishes to place them into groups of 8 of equal size which of the following represents the number of the students per groups
Answer:
Step-by-step explanation:
8 x 4 = 32
8 + 8 + 8 + 8 = 32
32 ÷ 4 = 8
what is the answer for 1/ 2−6=10
Answer:
-1/10
Step-by-step explanation:
1/2-6/10
5/10-6/10
= -1/10
Please help me with this question!
Answer:
A. 0
Step-by-step explanation:
| 1 4 4 |
| 5 2 2 |
| 1 5 5 |
a1 = | b2 b3 | = | 2 2 |
|c2 c3 | | 5 5 |
a2 = | b1 b3 | = | 5 2 |
| c1 c3 | | 1 5 |
a3 = | b1 b2 | = | 5 2 |
| c1 c2 | | 1 5 |
a1 - a2 + a3
| 2 2 | | 5 2 | | 5 2 |
(1) | 5 5 | - (4) | 1 5 | + (4) | 1 5 |
1 [(2)(5) - (2)(5)] - 4 [(5)(5) - (2)(1)] + 4[ (5)(5) - (2)(1)]
1 [10 - 10] - 4 [25 - 2] + 4 [25 - 2]
1 [0] - 4 [23] + 4 [23]
- 92 + 92 = 0
I hope this helps!
Members of a soccer team raised $2143.50 to go to a tournament. They
rented a bus for $888.50 and budgeted $62.75 per player for meals. Write
and solve an equation which can be used to determine x, the number of
players the team can bring to the tournament.
At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to milliliters. Find the percent of decrease.
The percentage decrease is 43.75%
How to calculate the percentage?Initial volume = 3.2 millimeters
After experiment volume = 1.8 millimeters
Reduction = 3.2 - 1.8 = 1.4 millimeters
Therefore the percentage decrease will be:
= Reduction/Initial value × 100
= 1.4/3.2 × 100
= 43.75%
Therefore, the percentage decrease is 43.75%
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At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to 1.8 milliliters. Find the percent of decrease.
Lesson 4 multiplication pattern
70 x 500 =
Answer:
3500
Step-by-step explanation:
An easy way to solve this specific problem would be to multiply 7 and 5 together to get 35 and then add on the two zeros from 500 to get 3500. Or you can do the standard multiplication strategy.
Hope this helps!
what is the answer for 200-{(7x3) +(10x5)}=
Answer: 129
Step-by-step explanation:
200-{(7x3) +(10x5)}=
200-((7*3)+(10*5))=
200-(21+50)=
200-71=129
Can somebody help me if you know what this is
Answer:
[tex]f^{-1}x=\frac{2x}{x-1}[/tex]
RSTU is a rhombus with an area of 480 square inches.
Diagonal RT is 20 inches long. What is the length of UO?
R
20
A 24 in.
C 36 in.
(not drawn to scale)
S
B 32 in.
D 40 in.
The length of UO in the rhombus is 24 inches
How to determine the length of UO?The given parameters are
Area = 480 square inches
Diagonal RT = 20 inches
The area of the rhombus is calculated as
Area = RT * US/2
Where UO = US/2
So, we have
Area = RT * UO
So, we have
20 * UO = 480
Divide both sides by 20
UO = 24
Hence, the length of UO is 24 inches
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On the weekdays a grocery store has 14239 customers and on the weekends the grocery store has
11634 customers. How many more customers does the grocery store have on weekdays than on
weekends?
Answer: 2605 more on weekdays
Step-by-step explanation:
14239 - 11634 = 2605
Write an equation in slope intercept form that’s Perpendicular to y=1/4x+2, and passes through (0,0)
The equation which is perpendicular to the given equation as in the task content is; y = -4x + 0.
Perpendicular linesIt follows from the task content that the line given is; y=1/4x+2.
It follows that the slope is; 1/4 by comparison with the slope-intercept equation; y = mx +c.
Since the required equation is perpendicular; it follows that the products of the slopes must be equal to; -1.
Hence, m × (1/4) = -1
m = -4.
Since, the point, (0,0) is the y-intercept, it follows that the required equation is; y = -4x + 0.
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I have been stuck on this for the past 10 mins PLS HELP
Answer:
55°
Step-by-step explanation:
m∠D = m∠A + m∠B since for a triangle, the exterior angle = sum of interior angles
We can rewrite this as
m∠A + m∠B = m∠D
Given m∠A = (2x)° , m∠B = (3x + 41)° and m∠D = 124° and substituting in the above equation,
2x + (x + 41.5) = 124
2x + x + 41.5 = 124
3x + 41.5 = 124
3x = 124 - 41.5 = 82.5
x = 82.5/3 = 27.5
But m∠A = (2x) = 2 x 27.5 = 55°
Compare and contrast the two dot plots shown
answer:
kids that play basketball are taller than kids that play baseball
Step-by-step explanation:
as we see the average height of baseball players ( the majority) is 68 inches and 70 while basketball is 70 to 74
hope this helped have a good day guv'nor :D
Compute 5DBE16-9AF416 using 2’s complement, leave your final answer in octal
5DBE16-9AF416 using 2’s complement is -2635716 octal.
We need to compute 5DBE16-9AF416 using 2’s complement, leave your final answer in octal.
What is two's complement?When two's supplement is utilized to address negative numbers, the main piece (MSB) is used to show the indication of the number. A 1 in the MSB position shows a negative number, and a 0 in the MSB position demonstrates a positive number. In two's supplement, negative numbers are addressed by the converse of the positive number in addition to 1.
To find the backwards of a number, every digit is just upset - 0 changes to 1, and 1 changes to 0. In this way, the converse of 5DBE16 is A2416. One is added to the opposite to find the two's supplements giving us A2417.
2's supplement of a number=the numbers supplement+1
5DBE16-9AF416=464416-9AF416=-54AF416+1=-54AF416
The two's supplement of a number can be determined by deducting the number from 2^n, where n is the number of pieces used to address the number. Along these lines, for this situation, we would take away 5DBE16 from 2^32, which gives us 464416.
Since the 2's complement of a number is equivalent to the negative, we can say that 5DBE16-9AF416=-54AF416.
To change over a two's supplement number to octal, we can involve a similar technique as we would use to switch a paired number over completely to the total. We bunch the pieces into three sets, beginning from the right, and convert each gathering into an octal digit.
In this way, the 2's supplements of 5DBE16-9AF416 would be composed as continues in octal 464416-9AF416=-2635716 octal
Therefore, 5DBE16-9AF416 using 2’s complement is -2635716 octal.
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what does 2/5 divied by 3/4 equal
Answer: 8/15
Step-by-step explanation:
2/5 x 4/3 (fraction rule)
2 x 4 / 5 x 3
2 x 4 = 8
8 / 5 x 3
5 x 3 = 15
= 8/15
True or false every rational number is a real number
Answer: TRUE
Step-by-step explanation:
Yes, every rational number is a real number. All numbers go into the real number system, including rational numbers. So the answer is true.
A number added to -19 is equal to -21
Answer:
-2
Step-by-step explanation:
Let, the needed number be x;
x-19=-21
x=-21+19
x=-2