Answer:
A OPTION A
Step-by-step explanation:
the set of the values in the input section is the domain
Explain why (-1)^51 is -1 and why (-1)^50 is 1.
Step-by-step explanation:
because when the exponent is an odd number a negative number stays negative
and when the exponent is an even number the sign changes and a negative number becomes positive
If a_1=3a and a_n = 2a_n-1 then find the value of a_6
If a_1 = 3 and a_n = 2a_n-1 the value of a_6 is 96.
To find the value of a_6, we can use the given recursive formula a_n = 2a_n-1. We know that a_1 = 3, and we can apply the formula repeatedly to find the subsequent terms:
The second term is:
a_2 = 2a_1 = 2(3) = 6
The third term is:
a_3 = 2a_2 = 2(6) = 12
The fourth term is:
a_4 = 2a_3 = 2(12) = 24
The fifth term is:
a_5 = 2a_4 = 2(24) = 48
The six term is:
a_6 = 2a_5 = 2(48) = 96
Hence, based on the provided information, the value of a_6 is 96.
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Write an equation that represents the line.
Use exact numbers.
Answer:
y=-2x-3.
Step-by-step explanation:
y=mx+b
First, find the slope:
points: (0,-3)(1,-5)
RISE OVER RUN: y2-y1 divided by x2-x1 = slope
-5--3=-2
1-0= 1
-2/1 = -2
SLOPE = -2
For the y-intercept (b) we look at where x=0, whatever value y is when x=0, is our y-intercept. In this case, our y-intercept is -3.
Therefore, y=-2x-3
Is the following equation always, sometimes, or never true?
| x | = -6
20 points to whoever can answer this correctly for me. I will also reward Brainliest. :-)
Answer:
never true................
Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. The cones are similar, and the volume of Cone A is 85 cubic feet. Find the volume of Cone B
Answer:
85 × 5³ = 10,625 cubic feet
Step-by-step explanation:
a plastic box contains balls of different colors. among them, 18 balls were chosen. what does the number 18 represent?
Answer:
the amount of that were pulled out
Step-by-step explanation:
You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
Answer:
D
Step-by-step explanation:
To check this answer, you could obviously graph the points, but without graphing, you can tell the line would be straight because each x value is multiplied by the same number to get the corresponding y value.
3 x 5 = 15, 4 x 5 = 20, etc. This shows linear growth. If each x value were multiplied by twice itself (3 x 6, 4 x 8, and so on), you wouldn't have a straight line because the number that x is multiplied by changes depending on the value of x.
dont bs just answer the question dont play with me
Explain why you cannot factor the trinomial x2−15x+3
Question 8 options:
There are no factors of -15 that add up to 3.
It can be factored
There are no factors of 3 that add up to -15
Lets check how?
Factors of 3=1,3
Max value possible=1+3=4
4 is far bigger than -15Minimum value=-1-3=-4
-4 is also bigger than -15So Verified
Answer: x2 – 10x + 25 = (x – 5)(x – 5)
= (x – 5)2
I didnt mean to put false on them but I rlly need help
Hello there,
According to the number line, Below given are the answers:-
a > b (False)
|a| > |b| (False)
|a| > b ( False)
By Benjemin
Solve the following equations in the forms asked.
Answer:
Below in bold.
Step-by-step explanation:
Vertex form.
y = a(x - h)^2 + k
The point (h, k) is the vertex so from the graph:
y = a(x - 1)^2 - 8
From the x -interesect we see that x = 6 when y = 0 so
0 = a(6 - 1)^2 - 8
25a - 8 = 0
a = 8/25
So the vertex form is
y = (8/25)(x - 1)^2 - 8.
Factored form:
y = (8/25)(x + 4)(x - 6)
- as -4 and 6 are the zeros of the equation.
Standard form:
From the factored form we have
y = (8/25)(x^2 - 2x - 24)
y = 8/25 x^2 - 16/25 x - 192/25
or (in decimal form):
y = 0.32x^2 - 0.64x - 7.68.
There are 75 students in a speech contest. Yesterday 1/5 of them gave their speech. Today, 3/5 of the remaining students gave their speeches. How many students still haven't given their speeches?
Answer: 39 students.
Step-by-step explanation: 1/5 of 75 is 60. Now we need to find out what 3/5 of 60 is. 3/5 times 60 = 39. 39 students need to give their speeches.
Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.
three eighths plus seven sixteenths equals blank
Question 2 options:
thirteen sixteenths
ten twenty fourths
ten sixteenths
four sixteenths
Answer:
thirteen sixteenths
19) y=-1/2x^2+8
a=__ b=__ c=__
1. Circle: Graph upwards/down wards
2.Vertical Axis of Symmetry
X=-b/2a
X=__
3. Vertex (plug in axis of symmetry): (__,__)
4. Y-intercept (plug in 0): (0,_)
5. X-intercepts (Solve by Square Rooting):
X=__,__
6. Graph the equation below:
Circle: Graph upwards/down wards
The given equation is in the form of a quadratic function y = ax^2 + bx + c, where a = -1/2, b = 0, and c = 8. This is a downward-opening parabola since the coefficient of x^2 is negative.
the graph of the function is shaped like a "U" and opens downwards.
Vertical Axis of Symmetry
The vertical axis of symmetry is given by the equation x = -b/2a. Here, b = 0 and a = -1/2. Therefore, the axis of symmetry is x = 0.
Vertex (plug in axis of symmetry)
To find the vertex of the parabola, we need to plug in the value of the axis of symmetry into the equation for x and solve for y. Since the axis of symmetry is x = 0, we have:
x = 0
y = -1/2x^2 + 8
y = -1/2(0)^2 + 8
y = 8
Therefore, the vertex of the parabola is (0, 8).
Y-intercept (plug in 0)
To find the y-intercept, we need to plug in x = 0 into the equation and solve for y. Therefore, we have:
x = 0
y = -1/2x^2 + 8
y = -1/2(0)^2 + 8
y = 8
Therefore, the y-intercept is (0, 8).
X-intercepts (Solve by Square Rooting)
To find the x-intercepts, we need to set y = 0 in the equation and solve for x. Therefore, we have:
0 = -1/2x^2 + 8
1/2x^2 = 8
x^2 = 16
x = ±4
Therefore, the x-intercepts are (-4, 0) and (4, 0).
Graph the equation below:
The graph of the equation y = -1/2x^2 + 8 is a downward-opening parabola with vertex at (0, 8) and x-intercepts at (-4, 0) and (4, 0). The y-intercept is (0, 8). The vertical axis of symmetry is x = 0. The graph would look like:
8 |
|
|
| /\
| / \
| / \
| / \
---- + ------- + ----
-4 0 4
Note that the points (0, 8), (-4, 0), and (4, 0) are on the graph, and the axis of symmetry is a vertical line passing through the vertex.
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When forgetfulness is taken into account, the rate of memorization of a subject is given by
The rate of memorization of a subject with forgetfulness taken into account can be described as a declining function over time.
When forgetfulness is taken into account, the rate of memorization of a subject will no longer be a constant, but rather a declining function over time.
As time passes and new information is acquired, the previous information will start to fade from memory, leading to a decline in the overall rate of memorization.
This decline in the rate of memorization can be described mathematically as a function of time, where the rate of memorization decreases as time passes. This can be modeled using a variety of mathematical functions, such as exponential decay or logistic growth, depending on the specifics of the situation.
The exact form of the function will depend on factors such as the rate of forgetfulness, the intensity of memorization, and the time frame over which the information is being acquired and forgotten.
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What is the measure of E in degrees?
Answer:
c
Step-by-step explanation:
E=10×10+25
but solve it to make sure
the answer is 130° a p e x
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 250 mg a standard deviation of 47 mg. In a random sample of 300 adults, how many consume at least 320 mg of caffeine daily? and
Of the 300 adults, approximately_________ adults consume at least 320 mg of caffeine daily
In a random sample of 300 adults, how many consume at least 320 mg of caffeine Daily. Of the 300 adults, approximately_________ adults consume at least 320 mg of caffeine daily.
The formula for a z-score is
\(z = (X - μ) / σ,\)
where X is the score you are interested in, μ is the mean of the population, and σ is the standard deviation.
μ = 250, σ
= 47, and X
= 320z
= (X - μ) / σ
= (320 - 250) / 47
= 1.4893
To find the probability of a z-score, we can look it up on a standard normal distribution table. Because we want the probability of a value greater than 320, we will use the right-tail probability, which can be found by subtracting the z-score from 1.
P(z > 1.4893)
= 1 - 0.9319
= 0.0681
The probability that an adult consumes at least 320 mg of caffeine is 0.0681, or 6.81%.
\(300 x 0.0681 ≈ 20.43\)
adults Approximately 20 adults consume at least 320 mg of caffeine daily.
Answer: 20
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pls answerrr hahahahhahaah
Answer: I think it would be C.. not sure tho
Step-by-step explanation:
21 The temperature of a liquid during an experiment is given by T()--(- 12) + 10, where t is the time in seconds and T is the temperature measured in degrees centigrade. 21.1 What is the temperature of the liquid at the start of the experiment? 21.2 Determine the rate of change of the temperature of the liquid during the first three seconds. 21.3 Determine the rate of change of the temperature of the liquid after (2) three seconds. 21.4 After how many seconds did the liquid reach a maximum temperature? (3) 21.5 What was the maximum temperature reached? (2
The temperature at the start of the experiment is 10 degrees Celsius.
The rate of change of temperature during the first three seconds is -12 degrees Celsius per second.
The rate of change of temperature remains constant at -12 degrees Celsius per second after three seconds.
It can be inferred that the liquid does not reach a maximum temperature.
The temperature decreases over time, and there is no highest point or peak temperature mentioned in the given equation.
We have,
The given equation is T(t) = -12t + 10, where t represents time in seconds and T represents the temperature in degrees Celsius.
1)
The temperature at the start of the experiment (t = 0):
To find the temperature at the start of the experiment, substitute t = 0 into the equation:
T(0) = -12(0) + 10
T(0) = 0 + 10
T(0) = 10
2)
Rate of change of temperature during the first three seconds (0 ≤ t ≤ 3):
The rate of change of temperature can be determined by finding the derivative of the equation with respect to time, t. The derivative of -12t + 10 is -12.
3)
Rate of change of temperature after three seconds (t > 3):
Since the derivative of -12t + 10 is a constant (-12), the rate of change of temperature remains constant at -12 degrees Celsius per second after three seconds.
4)
Time at which the liquid reaches the maximum temperature:
The given equation T(t) = -12t + 10 represents a linear function where the temperature decreases over time. Since there is no maximum temperature mentioned in the equation, it can be inferred that the liquid does not reach a maximum temperature.
5)
The maximum temperature reached:
As stated above, the liquid does not reach a maximum temperature.
The temperature decreases over time, and there is no highest point or peak temperature mentioned in the given equation.
Thus,
The temperature at the start of the experiment is 10 degrees Celsius.
The rate of change of temperature during the first three seconds is -12 degrees Celsius per second.
The rate of change of temperature remains constant at -12 degrees Celsius per second after three seconds.
It can be inferred that the liquid does not reach a maximum temperature.
The temperature decreases over time, and there is no highest point or peak temperature mentioned in the given equation.
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NOT
0.91666666666 as answer please
Answer:
11/12
Step-by-step explanation:
2/12 +9/12 = 11/12
An electrician charges $45 for each home visit plus $19.95 every hour he spends working. Which sentence could be used to find C, the cost in dollars for a house visit and h, hours of work ? F. C = 45 + 19.95h G. C = 45h + 19.95 H. C = (45 + 19.95)h J. C = (45 - 19.95)h
Answer:
C= 45 + 19.95h
Step-by-step explanation:
45 for each home vist means one time payment
19.95 ever hour means you are charged 19.95 every hour
H= hour
Select the correct answer.What is the value of this expression if h = 8,1 = -1, and k = -12?13320ОА.-12OB. 36OC 12OD.ResetNext2021 Edimentum. All rights reserved
We need to find the value of:
\(\frac{j^3\cdot k}{h^0}\)Knowing that j=-1, k=-12 and h=8. Let's see the two terms with powers seprately:
\(\begin{gathered} j^3=j\cdot j\cdot j=(-1)\cdot(-1)\cdot(-1) \\ \text{We know that }(-1)\cdot(-1)=1\text{ so we get:} \\ (-1)\cdot(-1)\cdot(-1)=1\cdot(-1)=-1 \\ \text{Then:} \\ j^3=-1 \end{gathered}\)\(\begin{gathered} h^0=8^0 \\ \text{And any given non-zero number raised to 0 is equal to 1 so we get:} \\ h^0=1 \end{gathered}\)If we use all these values we found in the original expression we get:
\(\frac{j^3\cdot k}{h^0}=\frac{(-1)^3\cdot(-12)}{8^0}=\frac{(-1)\cdot(-12)}{1}=\frac{12}{1}=12\)Which means that the answer is option C: 12.
Rich earns $35 per week mowing lawns in his neighborhood which expression can be used to show how much money he earns in 8 weeks
The expression that can be used to show how much money Rich earns in 8 weeks is: 8 * $35.
Rich earns $35 per week mowing lawns in his neighborhood.
We want to find out how much money he earns in 8 weeks.
To find the total amount of money Rich earns in 8 weeks, you can multiply the amount he earns per week ($35) by the number of weeks (8). This is because each week, Rich earns $35, so in 8 weeks, he will earn 8 times that amount.
So, the expression to calculate how much money Rich earns in 8 weeks is 35 dollars/week * 8 weeks.
By multiplying the amount earned per week by the number of weeks, we can determine the total earnings over the given period. In this case, Rich would earn a total of $280 in 8 weeks by mowing lawns in his neighborhood.
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2 is what percent of 80?
Answer:
2.5
Step-by-step explanation:
Answer:
2.5%
Step-by-step explanation:
Convert fraction (ratio) 2 / 80 Answer: 2.5%
Tara has a box of 908 beads for making bracelets. She wants to put 15 beads on each bracelet she makes. What is the greatest number of bracelets Tara can make with these beads? Tara has a box of 908 beads for making bracelets . She wants to put 15 beads on each bracelet she makes . What is the greatest number of bracelets Tara can make with these beads ?
Answer:
Tara can make 60 bracelets.
Step-by-step explanation:
908 / 15 = 60.5
determine the slope of the tangent line to the curve x(t)=2t3−1t2 6t 4y(t)=9e6t−6 at the point where t=1.
The slope of the tangent line to the curve at the point where t = 1 is 9.
To determine the slope of the tangent line to the curve defined by the parametric equations x(t) = 2t^3 - t^2 + 6t and y(t) = 9e^(6t - 6) at the point where t = 1, we can use the concept of differentiation.
First, let's find the derivative of x(t) and y(t) with respect to t:
dx(t)/dt = d/dt (2t^3 - t^2 + 6t)
= 6t^2 - 2t + 6
dy(t)/dt = d/dt (9e^(6t - 6))
= 54e^(6t - 6)
Next, we need to evaluate these derivatives at t = 1:
dx(1)/dt = 6(1)^2 - 2(1) + 6
= 6
dy(1)/dt = 54e^(6(1) - 6)
= 54e^0
= 54
Now, we have the slope of the tangent line at t = 1, which is given by dy(1)/dx(1). So, let's calculate that:
dy(1)/dx(1) = dy(1)/dt / dx(1)/dt
= 54 / 6
= 9
Therefore, the slope of the tangent line to the curve at the point where t = 1 is 9.
It's important to note that the slope represents the rate of change of y with respect to x at that specific point on the curve.
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A shipment of sugar fills 2(1)/(5) containers. If each container holds 3(3)/(4) tons of sugar, what is the amount of sugar in the entire shipmen Write your answer as a mixed number in simplest form.
The amount of sugar in the entire shipment is 97(1)/(2) tons.
We are given that a shipment of sugar fills 2(1)/(5) containers. If each container holds 3(3)/(4) tons of sugar, we need to find the amount of sugar in the entire shipment.
Step-by-step explanation:
One container of sugar holds 3(3)/(4) tons of sugar. There are 2(1)/(5) containers of sugar in the shipment.
Amount of sugar in one container = 3(3)/(4) tons
Amount of sugar in 2(1)/(5) containers
= 2(1)/(5) × 3(3)/(4) tons
= 13/5 × 15/4 = 195/20
= 97(1)/(2) tons
Therefore, the amount of sugar in the entire shipment is 97(1)/(2) tons.
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Express each of the following numbers as a product of its prime factors. Use exponents to represent repeated multiplication, when applicable. An example is given below.
The given numbers as product of their prime factors.
a. 30 = 3x2x5 ; b. 300 = 3x2²x5² ; c. 17 = 17 ;d. 21 = 3x7
Explain about the prime factors?A factor which is additionally a prime number is known as a prime factor. It is only capable of being divided by 1 and by itself, making it one of the smallest parts of the whole number.
Or, any prime number that may be multiplied by itself to get the original number.
In actuality, the first several prime numbers are 2, 3, 5, 7, 11, and so forth. Nevertheless, we may also apply the so-called prime factorization, which actually involves using factor trees, for numbers. The technique of expressing all numbers as the product of primes is known as prime factorization.
The given numbers as product of their prime factors.
a. 30
30 = 3x10 = 3x2x5
b. 300
300 = 3x100 = 3x10x10 = 3x2²x5²
c. 17
17 =17x1 = 17
d. 21
21 = 3x7
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Complete question:
Express each of the following numbers as a product of its prime factors. Use exponents to represent repeated multiplication, when applicable. An example is given below.
40 = 2x20 = 2x2x10 = 2x2x2x5 = 2^3 x 5
a. 30
b. 300
c. 17
d. 21
ANSWER PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!
Answer
put 1 on top and exo on bottom
Step-by-step explanation:
Solve the inequality.
|3x+7| <_ 4
Step-by-step explanation:
it can be written as. -4<_(3x+7)<_4
= -11 <_(3x) <_ (-3)
= (-11/3) <_ X <_ (-1)
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it
The value that could replace variable x in the table is (15 - m)8
How to the value of x in an expression ?The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.
From the table, the time to answer the whole multiple choice question is as follows:
total time = 3m
From the table, the total time taken to answer the free response question is as follows:
total time = (15 - m)8
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Answer: I believe it's C 8(15 - m)
Step-by-step explanation: