Answer:The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.
Answer:
x = 8
Step-by-step explanation:
Vertical angles are congruent.
21x-17 = 15x+31
6x-17 = 31
6x = 48
x = 8
For the expression x-5, what would the value be if x=18?
Answer:
13
Step-by-step explanation:
Answer:
if x is 18 replace 18 where x is in the question so, it will be 18-5 = 13
10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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Can someone please help me out or give me the answers please
Answer:
Example:
X = the first point, so say the point was 2, and the equation for y was, Y=2x +1, you would do 2x2=4 and then 4+1+5 so, for point y it would be, Y=5.
I don't know if that makes sense but yeah.
Help me please...........
Answer: Between A, B, C, or D
Step-by-step explanation: Hope this helps!
Suppose that postal requirements specify that parcels must have length plus girth at most 78 inches. Consider the problem of finding the dimensions of the square ended rectangular package of greatest volume that is mailable. A rectangular prism has length labeled X, width labeled h, and height labeled x.
Required:
a. Express the length plus the girth in terms of x and h.
b. Determine the objective and constraint equations.
c. What is the constraint equation?
Answer:
A. 4x + h
B. 4x + h = 78
V = x²h
Step-by-step explanation:
1. The length plus girth
X +x+x+x +h
= 4x +h
2. Constraint equation
4x + h = 78 ----(1)
Objective function
Volume = v = x*x*h
V = x²h ----(2)
3. Quantity as function of x
From equation 1 in answer part b
4x+h = 78
We make h subject
h = 78-4x
We put values of h in equation 2 in part b
V = x²h
V = x²(78-4x)
V = 78x²-4x³
To get values of x and h
V = 78x²-4x³
Dv/dx = 0
= 156x - 12x²
156x = 12x²
Divide through by 12x
156x/12x = 12x²/12x
x = 13
h = 78-4x
h = 78 - 4(13)
h = 78 - 52
h = 26 inches
To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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If a house has decreased 35% since it was purchased and it currently values 117,000 what was purchase value
Step-by-step explanation:
that means the current value of $117,000 is 100 - 35 = 65% of the original price.
65% = $117,000
1% = 65%/65 = 117000/65 = $1,800
100% = 1%×100 = 1800×100 = $180,000
the original (100%) purchase value was $180,000.
1. What are the next three terms in the sequence? (1 point)
-3, 6, 15, 24, ...
A: 35, 46, 57
B: 34, 44, 54
C: 33, 44, 56
D: 33, 42, 51
Answer:
D
Step-by-step explanation:
Just look for a pattern.
distance from -3 to 6 is 9
distance from 6 to 15 is 9
distance from 15 to 24 is 9
They're just adding 9 each time
24 plus 9 is 33
33 plus 9 is 42
42 plus 9 is 51
Choose all of the expressions that can be used to find the volume of the rectangular prism.
Answer:
C. (6 × 5) × 2 = 60 m³
D. 5 × (6 × 2)
E. (2 × 5) × 6
Step-by-step explanation:
Volume of a rectangular prism can be given as, V = L*W*H
L = 6
W = 5
H = 2
However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.
Thus:
✔️V = (6 × 5) × 2 = 60 m³
✔️V = 5 × (6 × 2) = 60 m³
✔️V = (2 × 5) × 6 = 60 m³
These are the three expressions that can be used to find the volume.
Please help with these 3 questions asap!!
Answer:
1. 80m^3 2. 120 in^3 3. 72 cm^3
Step-by-step explanation:
1. Simply just multiple all the lengths of sides together
2. Multiple all of them, and then divide by 2 (since it is half of a rectangular prism)
3. Separate the prism into 3 parts. The middle figure is 6 by 4 by 2. The triangles are 3 by 4 by 2. By adding them together, we get
Find y in each equation if x = 16
Answer:
y = -3
y = 11
Step-by-step explanation:
\(y = \sqrt{x} -7\) where x = 16
\(y = \sqrt{16} -7\\\)
y = 4 - 7
y = -3
y = 4 + I9 - xI where x = 16
y = 4 + I9 - 16I
y = 4 + I- 7I
y = 4 + 7
y= 11
Answer: -3 and 11
Step-by-step explanation:
y
= root(x)-7
= root(16) -7
= 4-7
= -3
y
= 4+modulus (9- x)
= 4+modulus (9-16)
= 4+modulus(-7)
= 4+ 7
= 11
A line passes through the points (-4,8) and (3,-7). Answer all parts of the question. Part A: what is the slope of the line that passes through these points (-4,8) and (3,-7).
Answer: \(y=\frac{-15}{7}x-\frac{4}{7}\)
Slope: -15/7
y-int:-4/7
Step-by-step explanation:
slope: rise/run
\(\frac{x^2-x^1}{y^2-y^1}\)
\(\frac{-7-8}{-4-3}=\frac{-15}{-7} =\frac{-15}{7}\)
thats the answer :)
~rere
A hummingbird's heart rate while resting is about 7,500 beats every 30 minutes. How many more beats does a hummingbird's heart beat in 60 minutes than a human baby's heart? It was on the last question
Answer:
This is what I got, hope u get it right
Step-by-step explanation:
The Giant Hummingbird beats its wings 10-15 times per second. The fastest recorded rate is about 80 beats per second on an Amethyst Wood- star Hummingbird.
85 is the answer........
2.
-6
5
-2
-1
2
0
-5
3
5
Vertex (give me the x and y coordinate):
Max or Min?:
Domain:
Range:
Zeroes (just tell me how many):
Axis of Symmetry:
Y-Intercept:
TE
Three polygons have been divided
into triangles by drawing a
segment from one vertex to all nonadjacent vertices. If n is the
number of sides in the polygon, which expression shows the
number of triangles created by each polygon?
A.n
B.(n + 2)
C.(n - 2)
D.3n, 4n, 8n
The relationship between the sides of the polygon and the triangle follows an arithmetic sequence
The expression that represents the number of triangles is (c) n - 2
From the diagrams, we have:
Sides Triangles
5 3
6 4
8 6
The above can be represented as functions as follows:
\(f(5) = 3\)
\(f(6) = 4\)
\(f(8) = 6\)
Express 6 as 8 - 2
\(f(8) = 8 - 2\)
Express 8 as n
\(f(n) = n - 2\)
So, the expression that represents the number of triangles is (c) n - 2
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A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Can anyone please help me answer this math questionn ?? Soon as possible !!
Jayne works for a company that offers to contribute $0.40 for each dollar an employee contributes to his or her 401(k) plan. If Jayne contributes $5,300 over the course of the year, how much will her employer contribute to her retirement plan?
Answer:
i believe the answer is 13,250
Step-by-step explanation:
all i did was divide the 5400/0.40 because i thiink its correct, maybe not
The employer contribute to her retirement plan is $2120.
What is 401(k) plan?Many American firms provide 401(k) plans, which are retirement savings plans with favourable tax treatment for the saver. It bears a section number from the United States Internal Revenue Code (IRC).
When a worker enrols in a 401(k), they consent to have a portion of each paycheck put directly into an investing account. A portion or the entire contribution may be matched by the employer. The employee has a variety of investing alternatives, most often mutual funds.
Given:
Jayne contributes $5,300
Now, the contribution of $0.40 for each dollar
So, employer contribute to her retirement plan
= 5300 x 0.40
= $2120
Hence, The employer contribute to her retirement plan is $2120.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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who ever helps get brainliest.
Answer:4 times 5
Step-by-step explanation:
find excluded values
The excluded values are the ones that make the denominator equal to zero, these are x = 4 and x = 5.
How to find the excluded values?Remember that we can´t divide by zero, then we need to remove all the values of x that make the denominator equal to zero, so we need to solve:
x² - 9x + 20 =0
Using the quadratic formula we will get:
\(x = \frac{9 \pm \sqrt{(-9)^2 - 4*20} }{2} \\\\x = \frac{9 \pm 1}{2}\)
So the two values are:
x = (9 + 1)/2 = 5
x = (9 - 1)/2 = 4
Now, the numerator is not zero in neither of these two values, so these are the excluded values.
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Find the product. 8 4²/7 × ₁5 15
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120
what is the absolute value for 115 and 15
Find the slope from the table.
Answer:
m=0
Step-by-step explanation:
the slope is calculated using two points on the line and the formula
m = (y2 - y1) ÷ (x2 - x1)
where
x1 and y1 are the coordinates of point 1
x2 and y2 are the coordinates of point 2
for example, you can take
point 1 = (x1;y1) = (-2;3)
point 2 = (x2;y2) = (-1;3)
then your slope is
m = (3 - 3) ÷ (-1 - (-2)) = 0
notice that x1 is always at the left of x2 on the x axis
and it makes sense that your slope is 0 because for each x your y is the same
While reviewing the previous day’s arrest report, a police sergeant notices that five suspects were arrested, all of whom had either one or two previous arrests. Including yesterday’s arrests, there were 12 total arrests among them. How many suspects had less than two prior arrests?
The number of suspects had less than two prior arrests are 3.
Given that, While reviewing the previous day’s arrest report.
Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.
Here, x+y=5 -----(i)
2x+3y=12 -----(ii)
From equation (i), x=5-y in equation (ii), we get
2(5-y)+3y=12
10-2y+3y=12
10+y=12
y=2
Substitute y=2 in equation (i), we get
x+2=5
x=3
Therefore, the number of suspects had less than two prior arrests are 3.
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\(-3\frac{1}{3} * -3\frac{2}{5}\)
Answer: 4
Step-by-step explanation:
First create numbers into an improper fraction.
-10/3 * (-3) 2/5
Then solve it using pemdas, resulting into the answer #4
Answer:
11 1/3
Step-by-step explanation:
Evaluate if x = 2 and y = -4: x³ + y² *
Answer:
=24
Step-by-step explanation:
Evaluate for x=2,y=−4
23+(−4)2
23+(−4)2
Type the correct answer in each box.
Day Amount
1
$26
2
$23
3
$31
4
$26
5
534
The table shows the amount Bill spent on 5 days last week.
The mean of the amount he spent is $
The mean absolute deviation is $
Reset
Next
The mean absolute deviation is $106.6.
Given the table shows the amount Bill spent on 5 days last week.
DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.
Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,
the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:
Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406
The sum of all absolute deviations is:
10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.
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why can you use cross products to solve the proportion 18/5 = x/100 for x ?
Answer:
Yes, you can use cross products to solve for x in this proportion. Also, x is 360.
Step-by-step explanation:
Yes, you can use cross products to solve for x in that proportion.
Here's how you do it :
\(\frac{18}{5} = \frac{x}{100}\)
We cross product, getting :
18 * 100 = 5 * x
1800 = 5x
Divide by 5 on both sides to get x by itself.
360 = x
Yes, you can use cross products to solve for x in this proportion. Also, x is 360.
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what is the sum of 2/6 +7/6
Answer:
3/2
Step-by-step explanation:
2/6 + 7/6 = 9/6
9/6 can be simplified by dividing the numerator and denominator by 3.
9/6 = 3/2
PLEASE HELP!!
In the diagram below, BC is the diameter of circle A.
Point D, which is unique from points B and C, is
plotted on circle A. Which statement must always be
true?
The statement triangle BCD is a right angle triangle because an angle in a semicircle is a right angle option 1 is correct.
What is a circle?It is defined as the combination of points that, and every point has an equal distance from a fixed point (called the center of a circle).
We have a diagram shown in the picture.
BC is the diameter of the circle.
Point B and Point C lies on the circle.
If a point D, which is unique from points B and C, is plotted on circle A.
Then the right angle triangle will be formed because an angle in a semicircle is a right angle.
Thus, the statement triangle BCD is a right angle triangle because an angle in a semicircle is a right angle option 1 is correct.
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