Answer:
c 7 mins
Step-by-step explanation:
PLS HELP!
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 cm
9 cm
K
5 cm
Answer:
135cm^3
Step-by-step explanation:
deigo has $500 dolars in his saving account each month he takes out $20 to pay for karate class. let m be the number of months write an expression yo show the total amount ain deigos saving account after m months
The expression shows the total amount in Diego's savings account after m months is 500 - 20m.
What is the total amount?
Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.
Here, we have
Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.
Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.
The expression:
= 500 - 20m
Here m is the number of months
Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.
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Identify the vertex, axis of symmetry, and the direction of opening of the graph of g(x) = |x| − 8. A. (0, −8); y = −8; opens up B. (0, −8); x = 0; opens up C. (8, 0); x = 0; opens down D. (−8, 0); x = −8; opens down
The vertex of the absolute function g(x) will be (0, -8). And the function opens up. Then the correct option is A.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
If the vertex of the absolute function is at (h, k). Then the absolute function is given as
f(x) = | x - h| + k
The absolute function is given below.
g(x) = | x | - 8
Compare the function g(x) with the function f(x), then the vertex of the absolute function is as,
(h, k) = (0, -8)
The absolute function opens up because there is a positive sign before mode.
The vertex of the absolute function g(x) will be (0, -8). And the function opens up. Then the correct option is A.
The graph is given below.
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PLEASE HELP
A busy candy stores going to replace their current gumball machine with a giant gumball machine. The globe on the current gumball machine is 22 inches in diameter and the volume is 5575 in.³ compared to what has been ordered the current gumball machines volume is 532 in.³ less than 1/4 of the volume of the globe of the giant gumball machine.
3. Carry out your plan from question to what is the volume of the globe on the new gumball machine you can round your final answer to the nearest whole number. Be sure to check your work.
4. Is your answer to question through the real solution or an extraneous solution explain how you?
3. The volume of the new gumball machine is of 861.75 in³.
4. This is a real solution, as it is a positive number.
How to obtain the volume of the new machine?The volume of the old machine was of:
5575 in.³
(as stated in the problem)
The volume of the new machine is obtained as follows:
532 in.³ less than 1/4 of the volume of the globe of the giant gumball machine.
One fourth of the volume of the old machine is obtained as follows:
1/4 x 5575 in³ = 1393.75 in³.
532 in.³ less than that is obtained as follows:
1393.75 - 532 = 861.75 in³.
An extraneous volume is a negative value to the volume, as the volume cannot be negative. Since the number is positive, it represents a real solution.
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The graph represents a relation where x represents the independent variable and y represents the dependent variable.
A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.
What is the domain of the relation?
{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}
The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.
How to determine domain relation?The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.
Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.
Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.
Hence, the correct option is {−4, −2, 0, 3, 5}.
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what is the answer to this question. i made it 20 pts
Answer:
the second choice
Find the measure of 3x-46+14=90
Answer:
Step-by-step explanation:
3x = 90 + 46 - 14
3x = 122
x=\(\frac{122}{3}\)≈40,7
Answer: 40.6 repeated
Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated
Find the solution for a 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
Answer:
Step-by-step explanation:
Answer:
A^n = [4^n 4^n
0 1]
Step-by-step explanation:
To find the solution for the 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:
A^1 = [4 4
0 1]
Now, let's solve for A^2 by multiplying A^1 by A:
A^2 = A x A^1
= [4 4 [4 4
0 1] 0 1]
= [16 16
0 1]
Next, let's solve for A^3:
A^3 = A x A^2
= [4 4 [16 16
0 1] 0 1]
= [64 64
0 1]
We can see a pattern emerging:
A^1 = [4 4
0 1]
A^2 = [16 16
0 1]
A^3 = [64 64
0 1]
We can generalize this pattern as follows:
A^n = [4^n 4^n
0 1]
Therefore, the solution for the 2x2 matrix A raised to the nth power is:
A^n = [4^n 4^n
0 1]
1). The following functions models Tony's current bank account A = 1,200(1+.02/4)^4t. according to this function, how often is the interest in his account compounded?
(1) Daily
(2) Weekly
(3) Monthly
(4) Quarterly
Answer:
4
Step-by-step explanation:
Together,Ella and Ola have 70 mushrooms.9 of Ella's mushrooms are brown and 17 of Ola's mushrooms are white.How many mushrooms does Ella have?
Answer:
why does this make my brain hurt
Find the maximum and minimum points of the function y = –2 cos (x + π/2) + 1.
The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)
How to determine the maximum and minimum points of the function?From the question, we have the following function that can be used in our computation:
y = –2 cos (x + π/2) + 1.
Calculating the maximum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the maximum points to be (π/2, 3)
Calculating the minimum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the minimum points to be
(3π/2, -1) (-π/2, -1)
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i cannot figure this out for the life of me. any help?
Find f(3) for the
piece-wise function.
f(x) =
x+1
X
if x > 0
if x ≤ 0
f(3) = [?]
Answer:
f(3) = 3 + 1 = 4
Step-by-step explanation:
Since 3 > 0, we need to focus on the part of the function where x > 0. So:
f(3) = 3 + 1 = 4.
Paula's time swimming in the triathlon was 1 hour 25 minutes. Her time biking was 5 hours longer than her swimming time. She ran for 4 hours 50 minutes. How long did it take her to complete all three parts of the race?
Answer:
12 hrs 40 mins
Step-by-step explanation:
1:25 + 6:25 + 4:50 = 11:100 -> 12:40
9514 1404 393
Answer:
12 hours 40 minutes
Step-by-step explanation:
Paula's total time was ...
swimming + biking + running
= 1:25 +(1:25 +5:00) +4:50 = 1:25 +6:25 +4:50 . . . . (hours:minutes)
= 7:50 +4:50 = 11:100 = 12:40
It took Paula 12 hours 40 minutes to complete the 3 parts of the race.
1/2(x-106)=12+7x
solve for x
Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
1/2(x - 106) = 12 + 7x
Step 2: Solve for x
[Multiplication Property of Equality] Multiply 2 on both sides: x - 106 = 2(12 + 7x)[Distributive Property] Distribute 2: x - 106 = 24 + 14x[Subtraction Property of Equality] Subtract x on both sides: -106 = 24 + 13x[Subtraction Property of Equality] Subtract 24 on both sides: -130 = 13x[Division Property of Equality] Divide 13 on both sides: -10 = xRewrite: x = -10The temperature went from 13o C at 3PM to -5o C at midnight that evening.
Which statement best describes the rate of change of the temperature
during this period of time?
The rate of change of the temperature on the time interval is -2°C. This means that, in average, for each hour that passes the temperature decreases by 2 degrees Celcius.
What is the rate of change on the temperature?A rate of change is defined as the quotient between the difference in some measure (in this case it will be the difference between the final temperature and the initial temperature) and the time interval in which it happens.
Here we know that:
final temperature = -5°C
Initial temperature = 13°C
And this change goes from 3 P.M. to midnight, so the change happens on an interval of 9 hours.
Then the rate of change of the temperature is:
r = (-5°C - 13°C)/9h = -2°C/h
So for each hour, the temperature decreases by 2°C.
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If a ball is thrown straight up into the air with an initial velocity of 95 ft/s, it's height in feet after t second is given by y=95t−16t^2. Find the average velocity for the time period beginning when t=2 and lasting
(i) 0.1seconds
(ii) 0.01 seconds
(iii) 0.001 seconds
Finally based on the above results, guess what the instantaneous velocity of the ball is when t=2.
The instantaneous velocity must be v= 265 at t=2
The height in feet after t second is given by y(t)=95t−16t^2.
Average velocity is defined by:
\(v_{ave} = \frac{x_{f} -x_{i} }{t_{f} -t_{i} }\)
i)
\(t_{i}\) = 2
\(x_{i}\)=y(2)=174
\(t_{f}\)=2+0.1
\(x_{f}\) = y(2+0.1) = 365.4
\(v_{ave}\) = 280.54
ii)
\(t_{i}\) = 2
\(x_{i}\)=y(2)=174
\(t_{f}\)=2+0.01
\(x_{f}\) = y(2+0.01) = 349.74
\(v_{ave}\) = 264.88
iii)
\(t_{i}\) = 2
\(x_{i}\)=y(2)=174
\(t_{f}\)=2+0.001
\(x_{f}\) = y(2+0.001) = 348.174
\(v_{ave}\) = 263.316
Instantaneous velocity is defined by: \(v= lim_{t-0} \frac{delta x}{delta t}\)
When, delta t = 0, v = 265
So instantaneous velocity must be v= 265 at t=2
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Write an equation of the line using function notation.
Slope 0; through (−3,−2)
The equation of the line is f(x)=
The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.
Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.
This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.
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5) reflection across the x-axis
Answer:
t(2,-2),C(2,-5),z(5,-4),f(5,0)
Step-by-step explanation:
because it reflects across the x-axis the y changes to the opposite.
A small toy rocket is launched from a 18-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = - 3t^2 + 3t+18. How long will it take the rocket to hit the
ground?
The time it would take the rocket to hit the ground upon launch is; 3 seconds.
At what time does the rocket hit the ground?It follows from the task content that the time taken for the rocket in discuss to hit the ground upon launch is to be determined.
Since the given formula for the height in terms of time, t is;
h = - 3t² + 3t + 18
It follows that ; when the rocket hits the ground; the height; h = 0.
Therefore;
0 = - 3t² + 3t + 18
0 = -3t² + 9t - 6t + 18
0 = -3t ( t - 3 ) - 6 ( t - 3)
-3t - 6 = 0 OR. t - 3 = 0.
t = -2. OR. t = 3.
Therefore, since the time after launch can only be positive; the time taken for the rocket to hit the ground is; 3 seconds.
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Which equation represents a line which is perpendicular to the x-axis?
List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient
The coefficient of the second term, 6x⁴, is 6.
The terms of the polynomial are:
-4y⁵, 6x⁴, 9w³, -4w, -1
The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.
The coefficient is 6.
Therefore, the list of terms is:
-4y⁵, 6x⁴, 9w³, -4w, -1
Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.
The coefficients indicate the scalar value by which each term is multiplied.
The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.
Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.
There is a 6 coefficient.
As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.
Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.
The scalar value by which each phrase is multiplied is shown by the coefficients.
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State the name of the property illustrated.
4(-8+5)= - 32 + 20
The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.
The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.
In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:
4(-8 + 5) = (4 * -8) + (4 * 5)
This simplifies to:
4(-8 + 5) = -32 + 20
Finally, we can perform the addition:
-32 + 20 = -12
Therefore, the equation demonstrates the application of the Distributive Property.
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Need Help ASAP !
Topic is trigonometric ratios.
Answer:
\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)
Step-by-step explanation:
Given parameters.
\(TU = 4\sqrt 5\)
\(SU = 4\sqrt 2\)
\(ST = 4\sqrt 3\)
Required
Determine \(\cos(T)\)
Reference to \(\angle T\), we have:
\(Opposite = 4\sqrt 2\)
\(Adjacent = 4\sqrt 3\)
\(Hypotenuse = 4\sqrt 5\)
Apply trigonometry ratio of cosine
\(\cos(T)\) \(= \frac{Adjacent}{Hypotenuse}\)
Substitute values for Adjacent and Hypotenuse
\(\cos(T)\) \(= \frac{4\sqrt 3}{4\sqrt 5}\)
\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}\)
Rationalize:
\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}\)
\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)
Select the system of linear inequalities whose solution is graphed. O y < 3x-2, x + 2y > 4 O y ≤ 3x-2, x + 2y 2 4 O y> 3x-2, x + 2y < 4 O y2 3x-2, x + 2y ≤ 4
Option D is the correct answer.
From the graph, we can conclude that,
1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.
2. The points on the lines of the shaded region are also included in the solution.
The only option that matches with the above conditions is option D. So, option D is the correct answer.
Let us verify it.
Now, let us consider a point that is inside the shaded region and also on any one line.
Let us take (0, 2).
Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.
Considering the inequalities,
y ≥ 3x - 2
x + 2y ≤ 4
Solving we get,
2 ≥ 3(0) - 2
2 ≥ -2
x + 2y ≤ 4
0 + 2(2) ≤ 4
4 ≤ 4
Here, both inequalities are correct.
So, option D is the correct answer.
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The complete question is =
Which system of linear inequalities is graphed?
A. y < 3x-2
x + 2y ≥ 4
B. y < 3x - 2
x + 2y > 4
C. y > 3x - 2
x + 2y < 4
D. y ≥ 3x - 2
x + 2y ≤ 4
Find the unknown coordinate so the line through the
points has the given slope
Answer:
#1 (0,-4)
#2 (5,0)
#3 (3,1)
Step-by-step explanation:
#1. (-3, 2) (0, y) slope = -2
slope = rise/run therefore slope = -2/1 or down 2 and over 1
so from -3 to 0 you are going over 3 units (or 3 times) Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6 so 2-6 = -4
so y intercept (b) = -4 0r (0,-4)
#2 (-7,-4) (x,0) slope (m) = 1/3 -7+12=5 x=5
#3 (4,-3) (x, 1) slope (m) = -4 (4/-1) Moving one unit in slope means
-3=4=1 for Y and 4-1=3 for X therefore the point is (3, 1)
Please tell me fast I am on a time crunch
-4.5 x (-2)???????????????????????
Answer:
9
Step-by-step explanation:
-4.5 x (-2) is equal to 9
dibuja una línea desde cada ecuación hasta la propiedad de igualdad que ilustra
By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.
What does Property of Equality means?The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.
As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.
Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"
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Can someone teach me how to do this type of thing?
Answer:
it is 90*
Step-by-step explanation:
PLEASE BRAINLIEST!!!!!!!!
Answer:
if you give me my 20 points back
Step-by-step explanation:
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years.
Step 2 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
Step-by-step explanation:
The standard deviation of the sampling distribution of sample means is given by the formula:
standard deviation = population standard deviation / sqrt(sample size)
Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:
standard deviation = 0.8 / sqrt(38)
standard deviation ≈ 0.13
Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.