The meaning of |-36| is the absolute value of negative 36.
We know that, the absolute value of any real number m is the positive value of m.
For any ±m ∈ R,
| ±m | = m
The absolute value of a number is also know as modulus of number.
In this question we have been given an absolute value |-36|
|-36| = 36
So, the meaning of |-36| would be,
- the absolute value of negative 36
Therefore, the meaning of |-36| is the absolute value of negative 36.
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How do you get the statistical notation?
The new curriculum significantly affects the earning potential.
According to the question, Eight kids were chosen at random to take part in a brand-new educational program that emphasizes both academics and mental health education between middle school and high school. The average annual income is $29432. The standard deviation is unknown.
The probability level is given to be 5%.
When the p-value is less than or equal to your significance level, reject the null hypothesis. The alternative theory, which contends that the effect is widespread, is supported by your sample data.
A probability level of 0.05 means that the new curriculum significantly affects the earning potential.
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A commuter train travels 65 kilometers in 27 minutes. What is it’s speed in kilometers per hour?
Answer:
Per hour: 2.40740740741
Step-by-step explanation:
you have to divided 65 and 27 so
65/27
which is 2.40740740741
PLEASE HELP ME QUICK!!!
Answer:
Option D. \(g(x)=5(0.8)^{x}+2\)
Step-by-step explanation:
Main concepts
Concept 1: identifying horizontal asymptote
Concept 2: assuring decreasing exponential function
Concept 1. identifying horizontal asymptote
Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis. A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number. Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units. Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.
Concept 2. assuring decreasing exponential function
Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".
If "b" is between 0 and 1 (a "small" number), the function will decrease.If "b" is larger than 1 (a "big" number), the function will increase.Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.
To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.
Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.
Add the following:
1) 7/23 + 11/23 + 9/23
2) 2 5/7+ 9 4/7
3) 3/4+ 11/12
4) 9/20 + 3/5
Please help ASAP
Step-by-step explanation:
1) 7/23 + 11/23 + 9/23
7+11+9/23
27/23
= 1 4/23
2) 2 5/7 + 9 4/7
11 9/7
= 11.12
3) 9/20 + 3/5
9+12/20
21/20
= 1 1/20 or 1.05
Find the dimensions of the rectangle with the greatest area that can be built so the base of the rectangle is on the x-axis between 0 and 1 (0 less than equal to x less than equal to 1) and one corner of the rectangle is on the curve, y = x^3 . What is the area of this rectangle?
The area of this rectangle is 0.105C that can be calculated by implementing the dimensions of length and breadth.
The area of rectangle involves the length and breadth.
Suppose length of rectangle be a,
Height of rectangle (1-a)^3
Area, A= a*(1-a)^3
dA/da = -3a(1-a)^2+(1-a)^3 = 0
a = 1, 0.25
Thus, Area (max) = 0.25*0.75^3 = 0.105
In this case
Height of rectangle C(1-a)^3
Area, A= Ca*(1-a)^3
dA/da = C[-3a(1-a)^2+(1-a)^3] = 0
a = 1, 0.25
Thus, Area (max) = 0.25*0.75^3*C = 0.105C
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1.3.IP-28
Question Help
The Bakers recently bought a new couch for $3,671. They paid for it in 2 installments. In their first
installment, they paid $1,836. How much did they pay in their second installment? Write an equation
to model the problem.
Step-by-step explanation:
Find the difference
3,621 - 1,836 = 1,785
They payed $1,785 dollars in the second installment.
The table represents the total miles traveled, y, after a number of hours, x.
Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420
Which linear equation represents the situation?
y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x
Answer:
y=60x
Step-by-step explanation:
i did it on edg2020
Answer:
(2.5,150)(4,240)
slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60
y = mx + b
slope(m) = 60
(4,240)...x = 4 and y = 240
now we sub and find b, the y int
240 = 60(4) + b
240 = 240 + b
240 - 240 = b
0 = b
so ur equation is : y = 60x + 0 which is written as : y = 60x <==
Given that angle 1 is 108o what is the measure of angle 7?
18
72
108
180
Answer:
∠7 is 108°Step-by-step explanation:
We know that:
∠1 = 108°∠1 = ∠7 (Alternate exterior angles)∠7 = 108°∠7 is 108° because ∠7 is equal to ∠1.
Hoped this helped.
\(BrainiacUser1357\)
Answer:
108°
Hope you could understand.
If you have any query, feel free to ask.
Solve the equation. 3 -x+3-2x +2x+5
Answer:
hi
Step-by-step explanation:
hiiii
What is the difference between Independent and dependent events?
Choose the correct answer below.
O A Two events are independent when the occurrence of one event does not affect the probability of the occurrence of the other event. Two events are dependent when the occurrence of one event affects the probability
of the occurrence of the other event.
OB. Two events are independent if only one of the two events can occur. Two events are dependent if they can occur at the same time.
OC. Two events are independent when the occurrence of one event affects the probability of the occurrence of the other event. Two events are dependent when the occurrence of one event does not affect the probability
of the occurrence of the other event
OD. Two events are independent if they can occur at the same time. Two events are dependent if only one of the two events can occur.
Answer: A
Step-by-step explanation:
It is the definition of independent and dependent events
La empresa clarisse dedicada al rubro de telefónica, está ampliando su cobertura, debido a esto está colocando postes, donde la séptima parte de un poste está enterrada, y sobresale del suelo 25 metros. Calcular la altura del poste aproximado a los centímetros.
The approximate height of the pole in centimeters is 17,500 centimeters.
We have,
Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.
We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.
25 = L/7
where L is the total length of the pole.
We can solve for L by multiplying both sides of the equation by 7:
L = 7 x 25
= 175 meters
Now we need to convert this length to centimeters.
Since 1 meter is equal to 100 centimeters,
175 meters x 100
= 17,500 centimeters
Therefore,
The approximate height of the pole in centimeters is 17,500 centimeters.
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The complete question.
The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.
mr. g finds a house for $155,000. He meets with the bank and finds a 30 year simple interest mortgage. If mr g accepts the mortgage, he would pay $232,500 in simple interest over the life of his loan. How much is his interest rate?
The interest rate on the mortgage is 5 %
What is the interest rateLet's begin by using the formula for simple interest:
I = P * r * t
where I is the interest, P is the principal (the amount borrowed), r is the interest rate, and t is the time (in years).
For Mr. G's mortgage, we know that the principal is $155,000 and the time is 30 years. We can use this information to solve for the interest rate, r.
First, we need to calculate the total amount that Mr. G will pay over the life of the loan (the principal plus the interest):
A = P + I
where A is the total amount, P is the principal, and I is the interest.
We know that Mr. G will pay $232,500 in interest, so we can solve for A:
Let's begin by using the formula for simple interest:
I = P * r * t
where I is the interest, P is the principal (the amount borrowed), r is the interest rate, and t is the time (in years).
For Mr. G's mortgage, we know that the principal is $155,000 and the time is 30 years. We can use this information to solve for the interest rate, r.
First, we need to calculate the total amount that Mr. G will pay over the life of the loan (the principal plus the interest):
A = P + I
where A is the total amount, P is the principal, and I is the interest.
We know that Mr. G will pay $232,500 in interest, so we can solve for A:
A = P + I
A = $155,000 + $232,500
A = $387,500
Now we can use the formula for simple interest to solve for the interest rate, r:
I = P * r * t
$232,500 = $155,000 * r * 30
r = $232,500 / ($155,000 * 30)
r = 0.05 or 5%
Therefore, Mr. G's interest rate is 5%.
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4/7(21/8 x + 1/2) = -2(1/7 - 5/28x)
What is x in decimal form?
Answer:
x=\(1.22930\)
Step-by-step explanation:
47(218 x+12 ) =−2(17 −528 x)
Simplify 47(218 x+12 ) : 327(21x+4) 327(21x+4) =−2(17 −528 x)
Multiply both sides by 7(21x+4)
327(21x+4) · 7(21x+4)=−2(17 −528 x)· 7(21x+4)
Simplify, 32=−14(17 −528 x)(21x+4)
Solve 32=−14(17 −528 x)(21x+4): x=32+4√589105 , x=32−4√589105 x=32+4√589105 , x=32−4√589105
Answer:
x = 0.5
Step-by-step explanation:
\(\frac{4}{7}(\frac{21}{8}x + \frac{1}{2}) = -2(\frac{1}{7} - \frac{5}{28}x)\)
\(1\frac{1}{2}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x\)
\(1\frac{1}{2}x - \frac{5}{14}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x - \frac{5}{14}x\)
\(1\frac{1}{7}x + \frac{2}{7} = - \frac{2}{7}\)
\(1\frac{1}{7}x + \frac{2}{7} - \frac{2}{7} = - \frac{2}{7} - \frac{2}{7}\)
\(1\frac{1}{7}x = - \frac{4}{7}\)
\(\frac{1\frac{1}{7}x}{1\frac{1}{7} } = \frac{- \frac{4}{7}}{1\frac{1}{7} }\)
\(x = -\frac{1}{2}\)
{(4,1) , (3,2), (2,3), (1,4)Give the domain and range or each relation. Is the relation a function?
Answer:
dsf
Step-by-step explanation:
I’m really confused on what the answer is supposed to be
Answer:
-4 < x < -2
Step-by-step explanation:
Taking the left part of the inequality :
8 > 4 - xx > -4Taking the right part of the inequality :
4 - x > 6-x > 2x < -2Solution :
-4 < x < -2George made 50% of the money Alex made at the lemonade stand. If George made $125.00, how much did Alex make?
(PLEASE HELP!)
Find the missing angle and side measures of Delta*ABC , given that
m angle A = 50 deg , m angle C = 90 deg , and CB = 16
The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.
To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.
Given:
∠A = 50°
∠C = 90°
CB = 16
We can start by finding the measure of ∠B:
∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)
50° + ∠B + 90° = 180°
∠B + 140° = 180°
∠B = 180° - 140°
∠B = 40°
Now, using Sine law
CB/ sin A = AB / sin C
16 / sin 50 = AB / sin 90
16 / 0.766044 = AB
AB = 12.25
Again 12.25 = AC/ sin B
12.25 = AC / sin 40
AC = 19.068
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a sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year: 684710688711722698723743738722696721685 763681731736771693701737717752710697
The mean and median of the given data are 718.72, and 719.5 respectively, and have no mode. The range is 87 and the standard deviation is 26.26. The interval that includes about 95% of the observations is between $666.20 and $771.24.
Mean - The mean is calculated by summing up all the observations and dividing by the number of observations.
mean = (684 + 710 + 688 + 711 + 722 + 698 + 723 + 743 + 738 + 722 + 696 + 721 + 685 + 763 + 681 + 731 + 736 + 771 + 693 + 701 + 737 + 717 + 752 + 710 + 697) / 25
mean = 718.72
Media -: The median is the middle value in a set of data when the data is arranged in order. With 25 observations, the median will be the average of the 13th and 14th observations when the data is sorted in ascending order.
median = (717 + 722) / 2
median = 719.5
Mode - The mode is the value that occurs most frequently in a set of data. In this case, there is no single value that occurs most frequently, so the data has no mode.
Range - The range is the difference between the largest and smallest values in a set of data.
range = 771 - 684
range = 87
Standard Deviation - The standard deviation is a measure of the spread of the data. It is calculated using the following formula -
\(\sqrt{((684-718.72)^2 + (710-718.72)^2 + (688-718.72)^2 + ... + (697-718.72)^2) / 25)\)
The standard deviation of this sample is approximately 26.26.
Empirical Rule - The Empirical Rule states that approximately 68% of the observations are within one standard deviation of the mean, approximately 95% of the observations are within two standard deviations of the mean, and approximately 99.7% of the observations are within three standard deviations of the mean.
Using the Empirical Rule, we can establish the interval which includes about 95% of the observations:
[718.72 - 2 * 26.26, 718.72 + 2 * 26.26] = [666.2, 771.24]
So, approximately 95% of the observations are between $666.20 and $771.24.
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The complete question is -
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year: 684 710 688 711 722 698 723 743 738 722 696 721 685 763 681 731 736 771 693 701 737 717 752 710 697 Find the mean, median and the mode of the data. Calculate the range and standard deviation. Use the Empirical Rule to establish an interval that includes about 95 percent of the observations.
Helppp!!!!!!!!!!!!!!
Answer:
line DC
Step-by-step explanation:
Hello,
2 different points define a line, right?
so you can exclude the two first answers as they involve 1 and 3 points.
There is no point M, right? you can get rid of the third answer.
There are the two points D and C which defines the line DC which is m
thanks
What is the product?
(3a2b7)(5a3b8)
O 8a5b15
O 8a6b56
O 15a5b15
O 15a5b56
Option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)
We have to find the product of (3a²b⁷)(5a³b⁸)
a and b are the variables in the expression.
We have to find the product.
Let us first multiply the constant terms which are 3 and 5 we get 15
15 (a²b⁷)(a³b⁸)
We know that in a product if the bases are same then the powers will be added
15a⁵b¹⁵
Hence, option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)
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how to Simplify: -2n + 11 + 6n
Answer:
4n + 11
Step-by-step explanation:
-2n + 6n = 4n
11 just stays as is
Answer:
4n + 11
Step-by-step explanation:
Combine like terms.
-2n + 11 + 6n = 4n + 11
g(x) = (2x+3)^1/2 ×(x^5-7)
Please help asap !!! I will give points !!!
The value of p when q is 2 is 1
What is inverse variation?Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.
This means that has x increases y will decrease and vice versa.
If p is inversely proportional to q , then p = kq
when p = 2, q = 4
2 = k4
k = 2/4
k = 1/2
When q = 2
p = 1/2 × 2
p = 1
Therefore the value of p is 1
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What is 9/10 minus negative 3/5?
1.5
Step-by-step explanation:
As a decimal you should be able to convert it
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
Enter the unknown value that makes this statement true:
20% of _ is 40.
Answer:
50
Step-by-step explanation:
0.8 * x = 40
40/0.8=50
Which statements about quadrilaterals are true? Check all that apply.
The sum of the measures of their interior angles is 180º.
The sum of the measures of their interior angles is 360°.
They are all polygons with four sides.
All quadrilaterals must have at least one set of congruent angles or parallel sides.
A square is a rectangle and a parallelogram, but not a trapezoid.
Answer:
2. The sum of the measures of their interior angles is 360º.
3. They are all polygons with four sides.
5. A square is a rectangle and a parallelogram, but not a trapezoid.
Step-by-step explanation:
The statements b,c, and e about quadrilaterals are true
What is quadrilateral?
A quadrilateral is a closed figure with four sides. The total of the internal angle measurements is 360°. They are all four-sided polygons. A square is not a trapezoid, but it is a rectangle and a parallelogram.
The statements about quadrilaterals are true;
b. The sum of the measures of their interior angles is 360º.
c. They are all polygons with four sides.
d. A square is a rectangle and a parallelogram, but not a trapezoid.
Hence, the statements b,c, and e about quadrilaterals are true
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simplify
2/9 to the power of 2
\((\dfrac{2}{9} )^2\)
Can be written as:
\(\dfrac{2}{9} \times\dfrac{2}{9}\)
To multiply two fractions, you need to multiply the numerator by the numerator and multiply the denominator over the denominator.
Multiply:
\(\dfrac{2}{9} \times\dfrac{2}{9}\)
\(\dfrac{2\times2}{9\times9}\)
\(=\fbox{$\dfrac{4}{81} $}\)
- 2(x + 3) = 10
Please help
-2x - 6 = 10
-2x = 16
-x = 8
x = -8
Dos horas y media ¿A cuántos minutos equivale?
Answer:
90 minutos
Step-by-step explanation:
una hora es 60 minutos y media es 30 minutos.