Answer:
C. Postulate.
Step-by-step explanation:
We are asked to find the term that defines the given statement.
Theorem: We know that a theorem is proved by a chain of reasoning. Ir is not self evident.
Definition: We know that definition is a statement of the exact meaning of a word.
Postulate: We know that a postulate is a statement that is taken to be true without any proofs, therefore, postulate is the correct choice.
Which of the following are true statements?
Check all that apply.
A. The graph of ƒ(x)=-1/2√x will look like the graph of ƒ(x)=√x but will reflect it about the x-axis and shrink it vertically by a factor of 1/2.
B. The graph of ƒ(x)=-1/2√x will look like the graph of ƒ(x)=√x but will shrink it horizontally by a factor of 1/2.
C. ƒ(x)=-1/2√x has the same domain but a different range as ƒ(x)=√x.
D. The graph of ƒ(x)=-1/2√x will look like the graph of ƒ(x)=√x but will shrink it vertically by a factor of 1/2.
...?
Answer:
A
C
Step-by-step explanation:
Here we must compare a function and its transformation, we will see that the correct options are A and C.
First, we must define the transformations that we will be using here.
Reflection about the x-axis:
For a function f(x) a reflection about the x-axis is written as:
g(x) = -f(x)
Vertical contraction.
For a function f(x) a vertical contraction of scale factor k is written as:
g(x) = k*f(x)
So here we start with:
ƒ(x)=√x
Then we reflect it about the x-axis to get:
ƒ(x)=-√x
Then we shrink it by a scale factor k = 1/2
ƒ(x) = (-1/2)*√x
From this, we can see that the correct options are:
A. The graph of ƒ(x)=-1/2√x will look like the graph of ƒ(x)=√x but will reflect it about the x-axis and shrink it vertically by a factor of 1/2.
And C is also true, because we have a reflection about the x-axis, the range changed from positive values to negative values, so:
C. ƒ(x)=-1/2√x has the same domain but a different range as ƒ(x)=√x.
Is also a correct option.
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Benny has saved 42 quarters from washing cars how many cents does Benny have
what is the GCF of 9, 27,and 63
Explain why the product of any four consecutive integers is divisible by 24.
...?
.
Which of the following is the correctly abbreviated SI unit describing the amount of a substance?
M
kg
mol
g
The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed on the focus of the parabola. If the parabola is 60 inches wide and 30 inches deep, how far from the vertex should the microphone be placed?
A boat, whose speed in still water is 1.96 m/s, must cross a W = 217 m wide river and arrive at a point D = 111 m upstream from where it starts, as shown in figure below.
To do so, the pilot must head the boat at a 42.9° upstream angle. What is the speed of the river's current?
The data set represents the number of miles Mary jogged each day for the past nine days. 6, 7, 5, 0, 6, 12, 8, 6, 9 The outlier of the data set is
Your answer for this question is 0
How many distinct arrangements can you make using the letters in the word DEGREE
Answer: 120
Step-by-step explanation:
The number of ways to arrange n things of which 'a' things are identical , 'b' things are identical and so on...... :-
[tex]\dfrac{n!}{a!\ b!......}[/tex]
Given Word : DEGREE
Total letters = 6
Here letter E is repeated 3 times.
Then, the number of unique ways to arrange the letters in the word "DEGREE " will be :-
[tex]\dfrac{6!}{3!}=\dfrac{6\times5\times4\times3!}{3!}=120[/tex]
Hence, the number of distinct arrangements for the letters in the word "DEGREE "=120
how do I solve : CSC pi/6 ...?
whats the anserr becuse i got this wrong on a home work sheet
What is the multiplicative rate of change for the exponential function f(x) = 2(5/2)–x(to the negative X)?
A.0.4
B.0.6
C.1.5
D.2.5
Answer:
A. 0.4
Step-by-step explanation:
A table factor of .7312 from a present value table of $1 means that a certain rate of interest for a certain period of time it will equal? ...?
If a 100(degree) arc of a circle has a length of 8 inches, to the nearest inch, what is the radius of the circle?
solve the equation for y 2x+6y=13
Which number sentence should be used to solve this problem? Ethan collected 30.4 pounds of recycling in June. He collected 35.5 pounds in July.
How many more pounds of recycling did Ethan collect in July than June?
A.
30.4 + 35.5 = ?
B.
35.5 - 30.4 = ?
C.
30.4 - 35.5 = ?
D.
35.5 + 30.4 = ?
If total Revenue is $3000, Cost of Goods is $1500, and total Selling Expense is $500; what is the Profit for the business?
what is the highest common factor of 630 and 1560
1. What are the next two terms of the following sequence?
1,5,9.........
A: 27, 211
B: 10, 11
C: 12, 15
D: 13, 17 *****
2. what is the common difference of the following Arithmetic sequence
102, 100, 98, 96....
A: 2
B: -2*****
C: -1
D: 102
3. What is the ninth term of the arithmetic sequence defined by the rule below?
A(n( = -14 + (n-1)(2)
A: 232
B: 230
C:2****
D: 4
4. Which function below represents the arithmetic sequence
3, 7 , 11, 15....?
A: F(n) = 4+3(n-1)
B: F(n) = 4+3n
C: F(n) = 3+4n
D: F(n) = 3+4(n-1)******
Answer:
1. 13, 17 Option D
2. -2 Option B
3. 2 Option C
4. F(n) = 3+4(n-1) Option D
Step-by-step explanation:
1.
Given sequence is: 1, 5, 9....
Common difference = 5-1 = 9-5 = 4
Next term is :
9+4 = 13
and
13+4= 17
So, next two terms are: 13 & 17.
2.
Given sequence is :
102, 100, 98, 96....
Common difference = 100 - 102 = 98 -100 = 96 - 98 = -2
3.
Given rule is :
Aₙ = -14 + (n - 1)(2)
Find the 9th term
so, we put n = 9
A₉ = -14 + (9-1)*2
A₉ = -14 + 8*2 = -14 + 16
A₉ = 2
Ninth term is 2.
4.
Given sequence is:
3, 7, 11, 15.....
Write the nth term
Formula is :
F(n) = a₁ + (n-1)d
Where a₁ is first term
n is number of terms
d is common difference
a₁ = 3
d = 7-3 = 11-7 = 15 - 11 = 4
So nth term is :
F(n) = 3 + 4(n-1)
That's the final answer.
Answer:
1. 13, 17 Option D
2. -2 Option B
3. 2 Option C
4. F(n) = 3+4(n-1) Option D
Step-by-step explanation:
Devil has 39 toy blocks what is the value of the digit nine in this number
HELLPP MEE PLEAASSEEE!!????
Is ABC DEF?
If so, name the postulate that applies.
A. congruent - SAS
B. congruent - ASA
C. congruent - SSS
D. might not be congruent
What is the mean median mode and range of the numbers 31 28 30 31 30 ...?
AB is tangent to O. If AO = 24 and BC = 27, what is AB?
Choices:
45
69
54
51
The measure of the side AB will be 45. The correct option is A.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Use the Pythagorean theorem to calculate the length of AB as below,
OB² = AB² + OA²
(BC + OC)² = AB² + OA²
(27 + 24)² = AB² + 24²
AB² = 51² - 24²
AB = 45 units
Therefore, the correct option is A. The value of length AB is 45.
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A group of 483 students is taking a field trip. one bus is needed for every 50 students. how many buses are needed?
What describes each face on a dodecahedron?
A. equilateral triangle B. equilateral pentagon C. circle D. square ...?
Deshaun went for a drive in his new car. He drove at a speed of 62 miles per hour for 99.2 miles. For how many hours did he drive?
Deshaun drove at a speed of 62 miles per hour for 99.2 miles. To calculate the time spent driving, use the formula Time = Distance / Speed. The time taken for his drive is approximately 1.6 hours.
The question pertains to calculating the driving time given the speed and distance traveled by Deshaun in his new car. He drove at a speed of 62 miles per hour for 99.2 miles. To find out how many hours he drove, we use the formula for time which is:
Time (t) = Distance (d) / Speed (v)Here, the distance d is 99.2 miles and the speed v is 62 miles per hour.
So we calculate the time t as follows:
t = 99.2 miles / 62 miles per hourThe time taken by Deshaun for his drive is approximately 1.6 hours.
what is the product of 3x4 y2 and 2xy3?
eremy is working at 2 jobs to save money for his college education. He makes $8 per hours working for his uncle at Pizza Pie busing tables and $10 per hour tutoring peers after school in math. His goal is to make $160 per week. Part c- After researching the costs of colleges, Jeremy decides he needs to make more than $160 each week. Write an inequality in two variables to represent the amount of money Jeremy needs to make. Then graph.
Final answer:
Jeremy needs to create an inequality to represent his new earning goal higher than $160 a week, leading to the inequality 8x + 10y > 160. This can be graphed by first converting to intercept form, plotting the intercept and slope, drawing a dashed boundary line, and shading the region above this line.
Explanation:
Jeremy is working two jobs to save for his college education and needs to create an inequality to represent the amount he needs to make each week, now more than $160. Let's denote the number of hours Jeremy works busing tables as x and the number of hours he spends tutoring as y. He makes $8 per hour busing tables and $10 per hour tutoring.
To express Jeremy's goal of making more than $160 a week, we can write the following inequality:
8x + 10y > 160
To graph this inequality:
First, rewrite the inequality as y > (-4/5)x + 16 to get the intercept form.
Plot the y-intercept at (0, 16) on the graph.
Use the slope of -4/5 to determine another point. From (0, 16), move 5 units to the right (positive x-direction) and 4 units down (negative y-direction), then plot this second point.
Draw a dashed line through the two points to represent the boundary of the inequality (dashed because the inequality is strict and does not include the line itself).
Shade above the line to indicate that all solutions to the inequality lie in this area, where Jeremy would be earning more than $160.
triangle PQR is similar to Triangle TUV. the perimeter of triangle PQR is 60 inches. what is the perimeter of triangle TUV?
A test for the presence of a certain disease has probability 0.2 of giving a false-positive result (indicating that an individual has the disease when this is not the case) and probability 0.1 of giving a false-negative result. Suppose that 10 individuals are tested, 5 of whom have the disease and 5 whom do not. Let X be the number of positive readings that result.
a. Explain why X does not have a binomial distribution.
b. Find the probability that exactly 3 of the 10 test results is positive?