For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.
What do you mean by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
What are domain and range of the function?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.
domain : (x | x [tex]\geq[/tex] 3/2)
range : (-∞ , 2)
For these values, Option B , C and E holds that they exists when x [tex]\geq[/tex] 3/2 and it's output that is y exists between (-∞ , 2).
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Exponential Functions
Below is a graph of exponential functions label I through VI.
Determine which of the following exponential formula(s) represents II and IV in the graph above.
(a) 10(1.02)t (b) 10(1.05)t
(x) 20(1.02)t (8) 30(0.85)t
(g) 30(0.95)t (∅0 30(1.05)t
a. a and β c. ∈ and 8
b. 8 and a d. β and ∅
Please select the best answer from the choices provided
Answer:
A. a and β
Step-by-step explanation:
I calculated it logically
(a) [tex]10(1.02)^t[/tex], and b) [tex]10(1.05)^t[/tex] are the formulas that represent II and IV in the graph.
What is an exponential function?The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
We know that the intercept of both II and IV is 10.
If we substitute t = 0 into the exponential formulas, we get the initial value or y-intercept of the graphs. Therefore, the formula that gives an initial value of 10 is a candidate for representing II and IV.
Out of the given options, the formula that gives an initial value of 10 is (a) [tex]10(1.02)^t[/tex] and b) [tex]10(1.05)^t[/tex].
Therefore, (a) [tex]10(1.02)^t[/tex], and b) [tex]10(1.05)^t[/tex] are the formulas that represent II and IV in the graph above.
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Answer:
157 cm^2
Step-by-step explanation:
1) find the radius
radius = side of the square /2 = 10 /2 = 5 cm
2) notice that four semicircles are equals to two circles
3) find the area of the shaded region
A = radius^2 x pi x 2 = 5^2 x pi x 2 = 157 cm^2 (round the nearest whole number)
Find the product.
(6t²-8bs) (t² + bs)
Enter the correct answer.
The product of given equation is [tex]6t^{4} + 6t^{2} bs-8bst^{2} -8b^{2} s^{2}[/tex] .
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
[tex]=(6t^{2} -8bs) (t^{2} + bs)[/tex]
[tex]=6t^{2} (t^{2} + bs) -8bs(t^{2} + bs)[/tex]
[tex]=6t^{4} +6t^{2}bs -8bst^{2} -8b^{2} s^{2}[/tex]
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Which values are possible rational roots of 9x3+14x2−x+18=0 according to the rational root theorem? Select each correct answer.
The possible roots of the cubic polynomial 9x³ + 14x² - x + 18 are 1, 2, and 3.
What is the rational root theorem?The rational root theorem explains how a polynomial's roots and coefficients are related. It explains the kind of rational roots that the polynomial might have in particular.
According to the rational root theorem, the possible roots of a polynomial of degree three and above are,
± (coefficient of the last term)/(coefficient of the first terms).
Given, A polynomial 9x³ + 14x² - x + 18 it is a cubic polynomial so it should have three roots they could be,
The factors of the constant term divided by the factors of the first terms,
So, 18 has factors ± (1, 2, 3, 6, 9, 18) and 9 has factors ± (1, 3, 9).
So, The possible roots are ± (1, 2, 3) and so on.
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8. Solve the inequality -4y + 6 < -14.
Answer:
y > 5
Step-by-step explanation:
Solving an inequality is similar to solving an inequation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, then one must remember to flip the inequality sign.
-4y + 6 < -14
Inverse operations,
-4y + 6 < -14
-6 -6
-4y < -20
/-4 /-4
y > 5
This tablet shows an example of
was first used by the
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It
Answer: the answer is 1.cuneiform & 2.sumerians
Step-by-step explanation: searched it up
what's the y intercept of y=-2x+ -20
Answer: y=20-2x
Step-by-step explanation:
In triangle JKL, angles J and L each measure 51° and JK = 18. Triangle PQR is similar to triangle JKL, where J corresponds to P, K corresponds to Q, and QR = 36. Which expression represents the length of segment PR?
Answer:
Step-by-step explanation:
Triangle JKL is a 51-51-78 triangle, since the angles in a triangle must add up to 180°. Since triangle PQR is similar to triangle JKL, it must also be a 51-51-78 triangle. Since corresponding sides in similar figures are in proportion, we can set up a proportion to find the length of PR:
(PR)/(JK) = (PQ)/(JL) = (36)/(18)
Cross multiplying and solving for PR, we find:
PR = (JK) * (PQ)/(JL) = 18 * 36/18 = 36
please help asap
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Answer:
m<D should also be 98° due to the congruent angles theorem
Answer:
98
Step-by-step explanation:
Sides AB and DC are parallel.
Sides AD and BC are parallel.
Quadrilateral ABCD is a parallelogram.
Opposite angles of a parallelogram are congruent.
m<D = m<B = 98°
Answer: 98
Please help #5 only thank you !
Answer:
$4.37 is a possibility to the answer
Answer:
they ate 6 pizza
Step-by-step explanation:
༼ つ ◕‿◕ ༽つ
Devin purchased a container of sport drink that contains 300 calories. The label says that 80% of the calories are from carbohydrates. How many calories are from carbohydrates?
Answer: 240 Calories are from Carbohydrates
Step-by-step explanation:
First, we will convert 80% into the decimal 0.8, then we will multiply this by the amount of total calories in the drink to create the following equation:
300 * 0.8 = 240 Calories.
A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. If the mean lifetime of this type of component is 100 hours and its standard deviation is 30 hours, how many of these components must be in stock so that the probability that the system is in continual operation for the next 2000 hours is at least 0.95?
Answer:
Step-by-step explanation:
From the given information:
Assuming we have an integer c to represent the components in the stocks.
Thus, the needed probability can be expressed as:
[tex]P(X_1+X_2+ ........ X_c \ge 2000)[/tex]
To break this down, we have:
[tex]P(\sum X_i \ge 2000) = P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )[/tex]
[tex]P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )= P (Z \ge 0.95 ) \ \ \ because \ Z_{0.05} = -1.65 \\ \\ \\ \dfrac{2000-100 n }{\sqrt{n \times 900}} = -1.65 \\ \\ \\ \dfrac{100\ n-2000 }{\sqrt{900n}} = 1.65 \\ \\ 100 n -1.65 \sqrt{900 n }-2000 = 0[/tex]
By solving the equation:
n = 23
Thus, relating to the needed condition; n ≥ 23
The needed number of the components that should be in stock should be at least 23.
Equations of Exponential Functions
Complete the table for the following function
Graph the function and describe what the graph looks like.
a. Increases in Quadrant III
b. Increases from left to right
c. Decreases from left to right
d. Decreases fin Quadrant II
Please select the best answer from the choices provided
Answer:
B. Increases from left to right
Step-by-step explanation:
I calculated it logically
9514 1404 393
Answer:
b. increases from left to right
Step-by-step explanation:
See below for a graph. The function increases at an increasing rate from left to right. It only exists in quadrants I and II.
HELP QUICK!!! ANSWER A B C D OR E
Answer:
It's (E) ..................
Answer:
E
Step-by-step explanation:
Enrique weighs five books and rounds the weights to the nearest hundredth.
Which of the weights round to 1.25 pounds?
Add
screer
you sh
Choose all the correct answers.
1.255 pounds
1.252 pounds
1.242 pounds
01.248 pounds
1.245 pounds
Answer:
1.252
Step-by-step explanation:
5 and up round up 4 and below round down
You pick a card at random.
1 2 3 4
What is P(1)?
Answer: 56
Step-by-step d
Find the slope (-7,4) and (-7,-8)
Answer: The slope for this line is not defined.
Step-by-step explanation: We can find the slope of a line using the formula m = y2 -y1/x2 - x1
here, (x1,y1) = (-7,4)
and, (x2,y2) = (-7,-8)
now, m= -8-4/-7+7
m = -12/0
So, the slope for this line is not defined as we are getting zero in the denominator.
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Answer:
For every hour, Bliqus earns $21.50
Step-by-step explanation:
$430 / 20 = $21.50
$215 / 10 = $21.50
A function is shown below.
g(x) = 19.6 + 1.74x. what is the value of g (20)?
Answer:
54.4
Step-by-step explanation:
g(20) = 19.6 + 1.74 (20)
g(20) = 19.6 + 34.8
g(20) = 54.4
Look at picture please help 32 points!!
Answer:
SA = 112 cm²Steps:
to solve this problem we have to calculate the surface area of the whole block and let be SA
first the surface area of the square pyramid:
the area of one triangle = (height × base)/2
given:
height = 6 cm
base = 4 cm
A = (6×4)/2
A = 24/2
A = 12 cm²
since it's a square triangle
then the surface area of the pyramid excluding the base:
Ap = A × 4
Ap = 12 × 4
Ap = 48 cm²
now the inferior part which is a rectangular prisme
Ar = 4(height×lenght)+lenght²
Ar = 4(3×4)+4²
Ar = 4×12+16
Ar = 48+16
Ar = 64 cm²
and now we can calculate the surface area of the whole block
SA = Ap + Ar
SA = 48 + 64
SA = 112 cm²
Find the LCD for the following pair of fractions.
1/5
and
1/2
Find the area of the rectangle measurement below 5/4 km x 12/5 km
Answer:
3km
hope this helps
have a good day :)
Step-by-step explanation:
martha has 17 043 943 957 points. 16 000 points equivilates to 50 $ off. How much money does Martha save?
Of course, a businesswoman who is extremely wealthy. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line.
How did Martha make her money?Martha Stewart is a lot of things, including a person who built a nativity during her time in jail. Snoop Dogg's close friend. somebody with a large number of peacocks. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line She was, in reality, America's first woman billionaire who had achieved success on her own.Now that Martha is no longer a billionaire (more on why in a bit), it is time to analyze her wealth.Celebrity In 1999, Martha Stewart and her business partner Sharon Patrick combined all of their endeavours into Martha Stewart Living Omnimedia (MSLO), which they then listed on the New York Stock Exchange. By the time trading ended, the stock had increased from $18 per share to $38 per share, making Martha practically instantly worth $1 billion.To more Learn about Martha Stewart Refer To:
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to get a B in math Alexandria pappas must average 80 on five test. scores on the first four test were 82, 76, 84, and 75. what is the lowest score that she can get on the las test and still get a B
Answer:
the lowest score that she can get on the las test and still get a B is 83
Step-by-step explanation:
x= score needed
(82+76+84+75+x) / 5 = 80
(317+x)/ 5 = 80
Cress multiplication
317 +x = 5 x 80
317 + x = 400
x = 83
317 + 83 = 400
400/5 = 80
How many combinations with repetition are allowed if n = 8 and r = 4?
256
330
1,680
65,536
The combinations with repetition are allowed is 330
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the items is not fixed.
Given that, we need to find the number of combinations with repetition are allowed if n = 8 and r = 4
Combinations with repetition = C'(n, r) = (r+n-1)! / (r!(n-1)!)
= (8+4-1)! / 4!(8-1)!
= 11! / 4!7!
= 330
Hence, the combinations with repetition are allowed is 330
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Can you use the values in Pascal’s triangle to find the powers of 11? Explain.
Answer: Yes!
-Ultimately (it states) all numbers in existence can be extracted from Pascal's Triangle. Using his binomial formation of: (a + b)^0 = 1 , where y is the number you are using. and (a + b)^x is the equation you use to find the answer of that row... the usage of that row, and the formation of its components is how you find the powers of numbers in a given row
-You would be able to find each row of the Triangle, and by using the association of Multiplication, addition, distribution, and If you look at the images below you will notice that to find a power of 11 at it's 6th power, you look at the 6th row of Pascal's Triangle Although not completely relevant, I also added an image of using his Triangle to find the Powers of 2
Step-by-step explanation: Hope this help :D
Answer:
Yes you can
Ultimately (it states) all numbers in existence can be extracted from Pascal's Triangle. Using his binomial formation of: (a + b)^0 = 1 , where y is the number you are using. and (a + b)^x is the equation you use to find the answer of that row... the usage of that row, and the formation of its components is how you find the powers of numbers in a given row
-You would be able to find each row of the Triangle, and by using the association of Multiplication, addition, distribution, and If you look at the images below you will notice that to find a power of 11 at it's 6th power, you look at the 6th row of Pascal's Triangle Although not completely relevant, I also added an image of using his Triangle to find the Powers of 2
correct on Edge 2021
Which fraction is represented by the blue portion of the picture?
A. 5/3
B. 1/2
C. 5/8
D. 3/8
E. 2/3
F. 3/5
NO LINKS
√2 (2-2√10) how do you simplify
Answer:
2√2- 4√5
Step-by-step explanation:
√2 (2-2√10)
2√2- 2√20
2√2- 2√(4*5)
2√2- 2*2√5
2√2- 4√5
6
If the circumference of the circle is 50, find the approximate radius, diameter and area of the circle. (Use 3.14 for
)
4 times a number decreased by 2 is at most 10