Answer: A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven.
Step-by-step explanation:
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Student is asked
to evaluate the expression 2 to the power of 4/ 2 to the power of 7 =8
What error did the student make? Explain. Then
evaluate the expression.
The value of the expression 2⁴/2⁷ = 1/8.
A student is asked to evaluate the expression 2⁴/2⁷.
And the student wrote the answer for this expression as 8.
The student made the mistake of subtracting 7 from 4.
4 - 7 = -3, but the student might have done 7 - 4 = 3 and arrived at the answer as 2³ = 8.
Let us evaluate the given expression.
2⁴/2⁷
Apply exponent rule aⁿ/aˣ = aⁿ⁻ˣ
2⁴/2⁷ = 2⁴ ⁻ ⁷
⇒ 2⁴/2⁷ = 2⁻³ (subtract the numbers: 4 - 7 = -3)
⇒ 2⁴/2⁷ = 1/2³ (apply the exponent rule: a⁻ⁿ = 1/aⁿ)
⇒ 2⁴/2⁷ = 1/8 (2³ = 2 × 2 × 2 = 8)
⇒ 2⁴/2⁷ = 1/8
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Solve for X anything can help
Answer:
x = 35
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
x + 52 + x + 2x - 12 = 180
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
use the fundamental identities to simplify the expression. there is more than one correct form of the answer. 9 sec2(x) 1 − sin2(x)
According to the given information the expression solution are:
Pythagorean identity = 9 sec2 x(cos2 x) Reciprocal identity = = 9 sec2 x(1/sec2 x)What are fundamental identities?An equation is referred to as an identity if it has one or more variables and is true for all alternate values of the variables for which both sides of the equation are defined.
For instance,
the equation x 2 + 2 x = x(x + 2) is an identity since it holds true for all possible replacement values for x.
A conditional equation is one that holds true only for specific replacement values of the variable.
For instance, the equation 3 x + 4 = 25 is a conditional equation because it isn't true for all possible replacement values for x.
Without specifying any limitations, an equation is claimed to be an identity, but in reality, it is only an identity for replacement values for which both sides of the identity are defined.
According to the given data:The trigonometric expression is 9 sec2 x (1 - sin2x)
Apply Pythagorean identity
1 - sin2 x = cos2 x9 sec2 x (1 - sin2x)
= 9 sec2 x(cos2 x)
Apply reciprocal identity cosx = 1/ secx
= 9 sec2 x(1/sec2 x)
= 9
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Like terms have the same______ and the same______.
Answer:
variables like terms are terms that contain the same varibles raised to the same power
The function f is defined as follows
h(x)=-4x^2+6
if the graph of h is translated vertically downward by 5 units, it becomes the graph of function g
FIND THE EXPRESSION FOR G(X)
Answer:
g(x)=-4x²+6
Step-by-step explanation:
Subtract 5 from -4x²+6.
-4x²+6-5=-4x²+1
g(x)=-4x²+6
Hope this helps!
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a. plot the given points on one coordinate plane
A. (-4,3)
B. (2,7)
C. (5,-1)
D. (0,-8)
E. (-6,-2)
A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane.
Describe coordinates using an example?
A group of variables that accurately depict a stance. The first number on a graph represents the distance along, while the second number represents the distance up or down. For instance, the point (12,5) is located 12 units down and 5 units up.a pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).What are the coordinates for all 3?
A point's three-dimensional Cartesian coordinates consist of a triplet of numbers (x,y,z). The three values, or coordinates, each represent a signed separation from the origin along the x, y, and z axes.the given points on one coordinate plane are
A . (-4,3)
B. (2,7)
C. (5,-1)
D. (0,-8)
E. (-6,-2)
Graph is attached
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PLEASE HELP ME!
The length of the rectangular shed is 2x^2 + 3x - 1 feet, and the width is x + 4 feet. Write polynomials that represent the perimeter and area. Calculate the perimeter and area if x = 10 feet. Include correct units of measure
Answer: You would replace the x's with 10.
New equations: 2 . 10^2 + 3 . 10 - 1 & 10 + 4
2 . 10^2 + 3 . 10 - 1 = 229
10 + 4= 14
Area = 3,206 feet
Perimeter = 486 feet
(Sorry I could not write the polynomials.)
to do this, the researchers select a random sample of of 100 gas stations, and record the pump prices for both regular unleaded and premium unleaded. the average price for the 100 stations is calculated, and used as an estimate for the average price of gasoline for the entire city.
The correct option is A. Quantitative.
In the study Quantitative data is collected as the calculation of quantity is being done.
What is defined as the Quantitative data?Quantitative data is any collection of information that may be recognized and analyzed numerically.
Some key points related to Quantitative data are-
Quantitative data data is the most important type of data for use in mathematics and statistics because it is the only form of information that can be counted objectively. Quantitative data answers questions like "How many? ", "How frequently? ", "How much is it?" ”. Using mathematical techniques, this data can be easily verified and evaluated.There are, for example, quantities that correspond to various parameters. "How much just do that laptop cost?" for example. " is a quantitative data collection question. Most measuring parameters have values associated with them, such as lbs or kilograms for mass, dollars for cost, and so on.Because of the convenience of mathematical derivation that quantitative data provides, it makes assessing various parameters controllable.To know more about Quantitative data, here
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The complete question is-
Determine whether the data collected in the study is qualitative or quantitative:
A study is conducted to estimate the average price of gasoline in a large city. To do this, the researchers select a random sample of of 100 gas stations, and record the pump prices for both regular unleaded and premium unleaded. The average price for the 100 stations is calculated, and used as an estimate for the average price of gasoline for the entire city.
A. Quantitative
B. Qualitative
Use the number line below, where RS = 3y +5, ST = 2y + 3, and RT = 48.
Answer: y=8
Step-by-step explanation:
RT=RS+ST
48=3y+5+2y+3
48=3y+2y+5+3
48=5y+8
5y=40
y=8
7/6m=1/6 please help I suck at fractions
Answer: m=1/7
Step-by-step explanation:
7/6m=1/6
7/6 * m=1/6
7*6/6 * m = 1*6/6==> Multiply by 6 on both sides to get rid of denominators
42/6 * m=6/6
7m=1
m=1/7
Answer:
m = 1/7
Step-by-step explanation:
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In order to add
3/4 and 7/10
you need to find equivalent fractions that have the same denominators. What is a common denominator?
Answer:
a shared multiple of the denominators of several fractions
Explanation : The denominator is the number at the bottom of the fraction and when two fractions have the same number at the bottom(denominator) then they have a common denominator.
pls, help I don't understand this.
The dimensions of rectangle B are 4.5 inches by 3 inches. So the correct option is the first one.
What are the possible dimensions of rectangle B?
We know that the dimensions of rectangle A are 6cm by 4cm, and rectangle B is similar to rectangle A, then the two rectangles have the same shape but different size.
Notice that the ratio between the dimensions of rectangle A is:
R = 6/4 = 3/2 = 1.5
Then, any other rectangle with the same ratio will be similar to rectangle A.
If we take the ratios for the options we get:
1) 4.5 in by 3 in:
R = 4.5/3 = 1.5
So yes, this rectangle is similar to rectangle A, then these can be the dimensions of rectangle B.
Then we conclude that the dimensions of rectangle B are 4.5 inches by 3 inches, and thus, the correct option is the first one.
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in the proportion a/b=c/d and bc are the
Answer:
The numbers a,b,c and d in a : b = c : d are called the ratio of the proportion. The terms a and d are called the extremes. The terms b and c are called the means
Answer:
gsjscsiscjscsksvshsvshzhsvshshsgsvhshshshsgsgsg
Step-by-step explanation:
gCHGhshgg1gsjdfzjfzhzfshsgsjcdhs
The box plot shows the ages of 240 people at a movie screening how many people are the movie screening are under 20 years old round the nearest 10th
The number of people that are below 20 years is 60.
How many people are below 20 years?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two whiskers and a box. The first line on the box represents the upper quartile. 25% of the observation is below the upper quartile.
In this question, the upper quartile is 20 years
Number of people under 20 years : (25 / 100) x 240 = 60 people
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In APQR, m/P = (4x + 11)°, m/Q = (2x + 1)°, and m/R = (7x - 14)°.
Find m/P.
Answer: 67 degrees
Step-by-step explanation:
m/P+m/Q+m/R=PQR
4x+11+2x+1+7x-14=180
4x+2x+7x+11+1-14=180
6x+7x+12-14=180
13x-2=180
13x=182
x=14
m/P=4x+11
m/P=4(14)+11
m/P=56+11
m/P=67 degrees
1.8x ≤ 4x + 4(3.2x+6)
6.411
The rounded answer is
Answer:
Step-by-step explanation:
6.411=
6.411=6.4
How to find and get the answers and solution?
Answer:
soloman king story class 8 gramer
At the fast food restaurant, an order of fries costs $0.88 and a drink costs $1.03. how much would it cost to get 5 orders of fries and 4 drinks? how much would it cost to get ff orders of fries and dd drinks?
Answer: $8.52
$(0.88f+1.03d)
Step-by-step explanation:
a=cost of fries. b=cost of drink.
5a+4b=
5(0.88)+4(1.03)=
4.4+4.12=
4.40+4.12=$8.52
f=number of fries. d=number of drinks
fa+db=
0.88f+1.03d=$(0.88f+1.03d)
The submarine is descending at a rate of 4.2 feet per minute. How many feet below sea level is the submarine at after 5 minutes.
But the multiplication problem below.
Answer:
21
Step-by-step explanation:
4.2*5=21 hope this helps
Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Suppose two lines intersect in a plane to form four angles.
What do you know about the pairs of adjacent angles formed? Explain.
44339339393888383848448484848484848
6 divied by 6.48 how to slove it
It should be noted that dividing 6 by 6.48 will be 0.926.
Whst is division?It should be noted that division simply means the separation of the numbers that are given.
In this case, we want to divide 6 by 6.48. It should be noted that 6 can be multiplied by 109 making 600 and 6.48 will be 648.
The division will be:
= 600 / 648
= 25/27
= 0.926.
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1.5, 21.5, 21.6 d: 20.0, 20.0, 20.0, 20.1, 20.2, 20.5, 20.5, 20.6, 20.7, 20.7, 21.0, 21.2, 21.5, 21.6, 22.1, 22.3 compute the standard deviation of the measurements for each method
The standard deviation of the method is 0.7193.
Standard Deviation:
Standard deviation of a data set is the square root of the calculated variance of a set of data.
The formula for standard deviation is,
[tex]\sigma^2 = \dfrac{\Sigma (x_{i} - \mu)^2}{n}[/tex]
Where
xi is an individual value
μ is the mean/expected value
N is the total number of values
Given,
Data set:
20.0, 20.0, 20.0, 20.1, 20.2, 20.5, 20.5, 20.6, 20.7, 20.7, 21.0, 21.2, 21.5, 21.6, 22.1, 22.3
Here we need to find the standard deviation.
To find the standard deviation we have to identify the following from the given set,
They are,
Count, N: 16
Sum, Σx: 333
Mean, μ: 20.8125
Now we have to apply the values on the formula,
In order to solve it,
[tex]\sigma^2=\frac{[(20-20.8125)^2+....+(22.3-20.8125)^2]}{16}[/tex]
When we simplify it then we get,
[tex]\sigma^2=\frac{8.2775}{16}[/tex]
So,
σ = √0.51734375
σ = 0.7193
Therefore, the standard deviation is 0.7193.
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What is the five-number summary for the data 2, 2, 4, 4, 5, 5, 6, 7, 9?
The five-number summary for the data is: 2, 3, 5, 6.5, and 9.
How to Determine the Five-number Summary of a Data Set?Given the data, 2, 2, 4, 4, 5, 5, 6, 7, 9, the five-number summary can be determined as follows:
Minimum value: this is the lowest data value, which is, 2.
First Quartile (Q1); which is the middle of the first half of the data which is, 3.
Median: center of the data set, which is, 5.
Third Quartile (Q3): which is the center of the second half of the data set, which is, 6.5.
Maximum Value: which is the highest data value of the data set, which is, 9.
Therefore, the five-number summary for the data is: 2, 3, 5, 6.5, and 9.
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You want an average of at least 30 active minutes each day during the week. How many active minutes do you need on Sunday to achieve your goal? Make an argument for your answer using a bar graph.
Using the mean concept, it is found that you need at least 40 active minutes on Sunday to achieve your goal.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In a week, there will be 7 observations, and a bar graph can represent each observation(time in minutes). They are given as follows:
15, 45, 20, 0, 60, 30 and x.
We want the mean to be of 30, hence:
30 = (15 + 45 + 20 + 0 + 60 + 30 + x)/7
170 + x = 210
x = 210 - 170
x = 40.
You need at least 40 active minutes on Sunday to achieve your goal.
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Evaluate -2x(to the second power) for x= -3
The value of the expression when x = -3 is - 18
What is index form?Index form is defined as the power or exponent that is raised to a number or a variable.
From the information given, we have;
-2x(to the second power)
This is expressed as;
-2x²
Now, let's substitute the value of x as -3, we get;
-2(-3)²
Take the square
-2(9)
-18
Thus, the value of the expression when x = -3 is - 18
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A firm in perfectly competitive market has a cost function of the form C = 5000 10Q + Q2 . Find the profit maximizing quantity for the firm if the market price P is N100. Calculate the profit as a function Q
The profit as a function Q is Q² + 90Q + 5000.
How to calculate the profit?It should be noted total revenue = Price × Quantity = 100Q
Total cost = 5000 + 10Q + Q²
Therefore, profit will be:
= Revenue - Cost
= 100Q - (5000 + 10Q + Q²)
= -5000 -90Q - Q².
= Q² + 90Q + 5000
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37-x>40 whats the answer?
Answer: x<-3 ( -∞,-3)
Step-by-step explanation:
Two thirds of twenty-two
Answer:
44/3 or 14 2/3
Step-by-step explanation:
22 * 2/3
= 44/3
Which situation can be represented by the expression 3 + (−7)?
A. A football team lost 3 yards on one play. The team gained 7 yards on the next play.
B. A football team gained 3 yards on one play. The team lost 7 yards on the next play.
C. A football team gained 3 yards on one play. The team gained 7 yards on the next play.
We get that statement (B) is the situation that is represented by the expression 3 + (−7).
We are given an expression:
3 + ( - 7 )
We need to identify the statement that represents the same expression:
For the statement, "A football team lost 3 yards on one play. The team gained 7 yards on the next play.", we get the expression as:
- 3 + 7
For the statement, "A football team gained 3 yards on one play. The team lost 7 yards on the next play.", we get the expression as:
3 + ( - 7 )
For the statement, "A football team gained 3 yards on one play. The team gained 7 yards on the next play.", we get the expression as:
3 + 7
Therefore, we get that statement (B) is the situation that is represented by the expression 3 + (−7).
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