Is 16 the correct answer?
Answer:
no, it's not. The correct answer is 34
Step-by-step explanation:
You were almost close! However, a² is equal to a × a or (a)²
I mean by
take (-5)² and -5² for example
the one in parentheses is equal to -5 * -5 which is 25 (you are taking the who -5 and squaring itself)
while the one without the parentheses is like -(5 * 5) which is -25
Therefore, this will be like |(-5)² + (3)²|
Simplify:
|25+9|= 34
Hope this helps!
I’m not sure about this one
Answer:
It is the 3rd option
Step-by-step explanation:
Order these numbers from least to greatest.
8.26, 8.1061, 8.209, 8.6
Answer:
8.1061
8.209
8.26
8.6
Step-by-step explanation:
first one gets brainliest
Answer:
Step-by-step explanation:
x equals to 20 because the 15 in subtract the 5 is equal to 15
Consider the following solid s. The base of S is a circular disk with radius r. Parallel cross-sections perpendicular to the base are squares. Set up an integral that can be used to determine the volume V of the solid.
The volume of the described solid is V = 16r³/3
A solid line S should be drawn between z = a and z = b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then A(x).
Volume of S = limₙ→∞ ∑i=₁ⁿ A(xi) Δx = \(\int\limits^a_b {A(x)} \, dx\)
The equation of circle x² + y² = r² where r is the radius of the circle.
Equation of upper semicircle yu= √(r²-x²) and
Equation of lower semicircle yl = -√(r²-x²)
Area of cross-section A(x) = (yu² - yl²)
Substitute yu and yl values
A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²) (1)
The limit for volume v varies from -r to r
Thus Volume v = \(\int\limits^{r}_{-r} {A(x)} \, dx\)
Substitute A(x) from (1)
V = \(\int\limits^{r}_{-r} {4(r^{2}-x^2 )} \, dx\)
V = 4[r²x - x³/3 ]
V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3
The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3
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answer the question in the picture
The value of m∠SRT as shown in the circle below is 46.5°.
What is circle?A circle is a round-shaped figure that has no corners or edges.
To calculate the value of m∠SRT, use the formula below
Formula:
m∠SRT = m∠SUT/2 (circle theorem )................................ Equation 1But,
m∠SUT = 360-(m∠SUR+m∠RUT)(Sum of the angle at a point)..................... Equation 2From the diagram,
Given:
m∠SUR = 148°m∠RUT = 119°Substitute these values into equation 2
m∠SUT = 360-(148+119)m∠SUT = 93°Finally we substitute the value m∠SUT into equation 1
m∠SRT = 93/2m∠SRT = 46.5°
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please help me solve this
The slope of the line is -4, the slope of the perpendicular line is 1/4
How to find the slope of the line?A general linear equation is written as:
y = ax + b
Where a is the slope and b is the y-intercept.
Here we can see that the y-intercept is b = 9, then we replace that:
y = ax + 9
The line also passes through the point (1, 5), then we can replace that to get:
5 = a*1 + 9
5 - 9 = a
-4 = a
That is the slope.
To find the slope of a line perpendicular to it, remember that if two lines are perpendicular then the product between the slopes is -1, then if the slope of the line perpendicular is p, we have that:
p*-4 = -1
p = 1/4
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What is the slope of the line shown below?
10 +
A. 1
(3,9)
B. -6
(-4, 2)
10
D. 6
10-
Answer:
A. 1
\(1 + 10 = 11 \\ 1 - 10 = 9\)
Step-by-step explanation:
10+1=11
10-1=9
2
The table shows the length, L, of the spiral from (0,0) to Corner, where k is an even number.
Term number
Length
k
1
2
2
2
4
6
3
6
12
4
8
20
n
k
n(n+1)
(a) Find a formula for n in terms of k.
(b) Use part (a) to show that the formula for the length, I., of the spiral from (0,0) to Corner is
1. = $(x+2)
(e) Show that the formula gives the correct length of the spiral from (0,0) to Comer (4)
Answer:
first eat this momo you will got answer yourself
4.21 game of dreidel. a dreidel is a four-sided spinning top with the hebrew letters nun, gimel, hei, and shin, one on each side. each side is equally likely to come up in a single spin of the dreidel. suppose you spin a dreidel three times. calculate the probability of getting
The probability of getting at least one nun in three spins of a dreidel is approximately 0.578
The probability is the ratio of number of favorable outcomes to the total number of outcomes
The probability of getting no nuns in a single spin is 3/4, since there are three non-nun letters (Gimel, Hei, Shin) and four total letters.
The probability of getting no nuns in three spins is then (3/4)^3, since the spins are independent and we can multiply probabilities of independent events.
So the probability of getting at least one nun in three spins is
= 1 - (3/4)^3
= 1 - 0.421875
= 0.578125
Therefore, the probability of getting at least one nun is 0.578
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The given question is incomplete, the complete question is:
A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun?
Write the algebraic expression described by the following English phrase. Use the variable name "x" to describe the unknown. two less than the product of three and the difference of a number and four
When x = 7, the value of the expression 3(x - 4) - 2 is 7.
The algebraic expression for the given phrase "two less than the product of three and the difference of a number and four" can be written as:
3(x - 4) - 2
Let's take an example to understand the expression. Suppose we want to find the value of the expression when the unknown number "x" is equal to 7.
In this case, we substitute x = 7 into the expression:
3(7 - 4) - 2
Simplifying the expression, we first calculate the difference of the number and four inside the parentheses:
3(7 - 4) - 2
= 3(3) - 2
Next, we calculate the product of three and three:
3(3) - 2
= 9 - 2
Finally, we subtract two from nine:
9 - 2
= 7
Therefore, when x = 7, the value of the expression 3(x - 4) - 2 is 7.
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( -18) - ( +14)=
se que son muchas pero es un questuinario.
Answer:
= -32
Step-by-step explanation:
-18 - (+14)
-18 - 14
-32
Espero esto te ayude!
Answer:
i dont understand spanish sorry
-18-14=-32
Step-by-step explanation:
Aimee and Desmond are going to a play this evening.
Desmond wants to have at least $50 in his wallet. He
currently has $5. Write and solve an inequality to find
how much more cash Desmond should put in his wallet.
Answer:
45
Step-by-step explanation:
x+5 =50
x=45
Alexander was offered a job that paid a salary of $24,000 in its first year. The salary was set to increase by 4% per year every year. If Alexander worked at the job for 5 years, what was the total amount of money earned over the 5 years, to the nearest whole number?
9514 1404 393
Answer:
$129,992
Step-by-step explanation:
The sum of a geometric series is given by ...
Sn = a1·(r^n -1)/(r -1)
Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...
S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992
The total earned over 5 years was $129,992.
___
A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.
Find value of x round to the nearest tenth.
Answer:
8√3
Step-by-step explanation:
method 1
180°-(30°+90°)= 60°
8=sin 30° × chord
sin 30°=1/2
chord=16
x^2 + 8^2 = 16^2
x=√256 - 64
x= √192 = 8√3
method 2:
use arcsin & arccos
method 3:
...
A ticket to see your favorite baseball team costs $. 45.04That price decreases by $0.24for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 41 games. What is the price of a ticket after the team loses 41 games?
assume x and y are functions of t. evaluate for 4xy-7x 5y^3=-115, with the conditions = -15, x = 5, y = -2. dt dt dy dt
To evaluate for 4xy-7x 5y^3=-115, with the conditions = -15, x = 5, y = -2, we need to use implicit differentiation.
The value of (dy/dt) is 0.
First, we differentiate both sides of the equation with respect to t:
d/dt (4xy - 7x) = d/dt (-115)
Using the product rule and chain rule, we can simplify the left-hand side:
4y(dx/dt) + 4x(dy/dt) - 7(dx/dt) = 0
We can also differentiate the second equation with respect to t:
d/dt (5y^3) = d/dt (-115)
Using the chain rule, we get:
15y^2 (dy/dt) = 0
Now we can substitute in the given conditions:
x = 5, y = -2, and (dx/dt) = -15.
Plugging these values into the equations above, we get:
4(-2)(dx/dt) + 4(5)(dy/dt) - 7(dx/dt) = 0
15(-2)^2 (dy/dt) = 0
Simplifying, we get:
-8(-15) + 20(dy/dt) - 7(-15) = 0
60(dy/dt) = 0
Solving for (dy/dt), we get:
(dy/dt) = 0
Therefore, the value of (dy/dt) is 0.
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4. Let | d |=3 and de 5, find -4d (2d -3 e). fxg and gare (parallel, perpendicular, skewed).
5. Given two vectors f and g, circle in the parenthesis from the geometric point of view
If f g 0, ƒ and g are (parallel, perpendicular, skewed).
If fx g= 0, fand g are (parallel, perpendicular, skewed).
4. -12d+18e
The magnitude of vector d is given as |d| = 3 and de is given as 5. Therefore, the magnitude of vector e can be found as |e| = |de|/|d| = 5/3. Using these values, the given expression can be simplified as -4d(2d-3e) = -8d^2+12de. Substituting the values of |d| and |e|, we get -8(3)^2+12(3)(5/3) = -72+60 = -12. Therefore, the final answer is -12d+18e.
5. If f.g=0, f and g are perpendicular.
If f.g≠0, f and g are skewed.
If f.g=0, it means that the dot product of the two vectors is zero.
The dot product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them. If the dot product is zero, it means that the cosine of the angle between them is zero, which implies that the angle is 90 degrees. Therefore, f and g are perpendicular.
If f.g≠0, it means that the dot product of the two vectors is non-zero. In this case, the angle between them cannot be 90 degrees and therefore, they are not perpendicular. This implies that f and g are skewed.
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11.) Sam has a total of 45 dimes and nickels. The number of dimes she has is 3 more than twice the number of nickels. How many of each coins does she have? How much money does she have altogether?
Answer:
Number of nickels: 14
Number of dimes: 31
Total money: $3.80
Step-by-step explanation:
Let number of nickels be x
Number of dimes is 2x+3
Total coins = 45
So add the number of nickels and dimes and it equals 45
x+2x+3=45
3x=45-3=42
x=42/3=14 nickels
Substitute the value of x=14 in 2x+3 to find number of dimes
2(14)+3=28+3=31 dimes
Total money is 14 nickels + 31 dimes
Nickels = 0.05 and dimes is 0.10
14(0.05)+31(0.10)=0.7+3.1=3.8
Is dz = 2x 2 y 3 dx + 3x 3 y 2 dy an exact or inexact differential?
On differentiating the differential equation dz = 2x²y³ dx + 3x³y² dy, it is obtained to be an inexact equation.
What is differential equation?
Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation.
The differential equation given is -
dz = 2x²y³ dx + 3x³y² dy
A linear differential equation of form dz = f1(x,y)dx + f2(x,y)dy is said to be exact if ∂f1 / ∂y = ∂f2 / ∂x.
In the given equation f1 = 2x²y³ and f2 = 3x³y².
Differentiate f1 with respect to y.
∂f1 / ∂y = d/dy (2x²y³)
= 2x² × d/dy (y³)
= 2x² × 3y² = 6x²y²
Differentiate f2 with respect to x.
∂f2 / ∂x = d/dx (3x³y²)
= 3 × d/dx (x³y²)
= 9x²y²
So, it is obtained that ∂f1 / ∂y ≠ ∂f2 / ∂x.
Therefore, the equation is inexact.
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Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?
Answer:
1,616.60
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Step-by-step explanation:
Jill jumped 6 1 3feet in the long-jump event. Jill’s best friend jumped 6 5 7feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem
Answer:
Subtract 6.13ft from 6.57ft, and you should get .44 as your answer.
10. APPLICATION Inspector 47 at the Zap battery plant
keeps a record of which AA batteries she finds defective.
Although the battery numbers at right do not make an
exact sequence, she thinks they are close to an arithmetic
sequence
a. Write a recursive formula for an arithmetic sequence
that estimates which batteries are defective. Explain
your reasoning
b. Predict the numbers of the next five defective batteries.
c. How many batteries in 100,000 will be defective?
Defective
Batteries
255, 500, 773
998, 1227, 1510,
1721, 2010
Euler's method is based on the idea of walking along tangent lines of nearby solutions for short periods of time
a. true b. false
Euler's method is a numerical method used to approximate solutions to first-order ordinary differential equations (ODEs). It is based on the idea of walking along tangent lines of nearby solutions for short periods of time. The given statement is true.
The basic idea of Euler's method is to approximate the solution to an ODE at discrete time steps using a simple iterative formula that involves the slope of the solution at each time step. At each time step, the slope of the solution is approximated by the slope of the tangent line to the solution at that point. The method then takes a small step along this tangent line to approximate the solution at the next time step.
This process is repeated over and over again, with each step approximating the solution at the next time point. While the method is not exact, it can provide a useful approximation of the true solution if the time steps are small enough.
In summary, Euler's method is based on the idea of approximating the solution to an ODE by walking along tangent lines of nearby solutions for short periods of time.
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I've been stuck on this for so long
Answer:
Step-by-step explanation:
x= 40
One serving of punch is 250 milliliters. Will ten servings fit in a 2-liter bowl? Choose the correct answer and explanation.
A.
Yes; 10 servings equals 2,500 mL, or 2.5 L, which is less than 2 liters.
B.
No; 10 servings equals 2,500 mL, or 2.5 L, which is greater than 2 liters.
C.
Yes; Yes; 10 servings equals 250 mL, or 0.25 L, which is less than 2 liters.
D.
No; 10 servings equals 25,000 mL, or 25 L, which is greater than 2 liters.
The correct answer and explanation is:
B. No; 10 servings equals 2,500 mL, or 2.5 L, which is greater than 2 liters.
The true statement is that ten servings will not fit in a 2-liter bowl
Here, we have,
to determine the true statement:
The size of the serving punch is given as:
One serving of punch = 250 milliliters
For ten servings, we have:
Ten servings = 10 * 250 milliliters
Evaluate the product
Ten servings = 2500 milliliters
Convert to liters
Ten servings = 2.5 liters
2.5 liters is greater than liters
Hence, ten servings will not fit in a 2-liter bowl
The correct answer and explanation is:
B. No; 10 servings equals 2,500 mL, or 2.5 L, which is greater than 2 liters.
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Suppose the sum of two positive integers is twice their difference and the larger number is 6 more than the smaller number. Let u be the larger number. Which of the below system could be used to find the two numbers? os x + 3y = 6 1 x+y=0 - o Sr - =6 1x + 3y = 0 2 Ox= 6 + 3y 2 + 3y = 0 O x-y=6 12 - 3y = 0 Question 5 20 pts You are asked to solve the system below using elimination. J (1) 2x+y=-3 (2) 3x – 2y = 2 Which one of the following steps would be the best way to begin? Multiple (1) by 2. Multiple (2) by 2. Multiple (1) by 2 and multiple (2) by 3. Multiple (2) by 2 and multiple (1) by -2
The best way to begin solving the system of equations would be to multiply equation(1) by 2 and equation (2) by 3.
What is the elimination method?
The elimination method, also known as the method of elimination or the addition/subtraction method, is a technique used to solve a system of linear equations. It involves manipulating the equations in the system by adding or subtracting them in order to eliminate one of the variables. The goal is to transform the system into a simpler form with fewer variables, eventually leading to a single equation with only one variable that can be easily solved.
To find the system of equations that can be used to find the two numbers, let's analyze the given information step by step.
1."The sum of two positive integers is twice their difference." Let's assume the smaller number is represented by 'x' and the larger number by 'u'. According to the given information, we can write the equation:
x + u = 2(u - x)
2."The larger number is 6 more than the smaller number." We can write this information as:
u = x + 6
Now, let's examine the options provided and see which one matches our system of equations.
Option 1: os x + 3y = 6
This option does not match our system of equations.
Option 2: 1 x+y=0
This option does not match our system of equations.
Option 3: - o Sr - =6
This option does not make sense and does not match our system of equations.
Option 4: 1x + 3y = 0
This option does not match our system of equations.
Option 5: 2 Ox= 6 + 3y
This option does not match our system of equations.
Option 6: 2 + 3y = 0 This option does not match our system of equations.
Option 7: O x-y=6
This option matches our system of equations. The equation x - y = 6 can be rewritten as x = y + 6.
Option 8: 12 - 3y = 0
This option does not match our system of equations.
Therefore, the system that could be used to find the two numbers is
x = y + 6 and x + u = 2(u - x).
Moving on to the second question:
To solve the system using elimination: (1) 2x + y = -3 (2) 3x - 2y = 2
The best way to begin the elimination method would be to multiply equation (1) by 2 and equation (2) by 3. This will allow us to eliminate the 'y' term when we subtract the equations.
So, the correct answer is: Multiple (1) by 2 and multiple (2) by 3.
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ASAP 10 POINTS
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.
Also No effect as we assumed rotation is being with respect to origin.
Finally, translate it down to 2 units.
Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
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Kim will paint all the faces of the outside of the storage trunk when it is closed. How many square
feet will Kim paint?
Answer:
a
Step-by-step explanation:
The area of that should be painted by Kim is 55.75 ft².
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that a container which is in shape of rectangular prism,
We need to find the area that should be painted,
So, to find the same we will find the surface area of the prism,
SA = 2(lh + hw + wl)
l = length, w = width and h = height,
SA = 2(2.50·4 + 2.75·2.50 + 2.75·4)
= 2(10 + 6.875 + 11)
= 2 × 27.875
= 55.75
Hence the area of that should be painted by Kim is 55.75 ft²
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given the recent economic downturn, only 60% in a graduating class of 250 will find employment in the first round of a job search. you have 20 friends who have recently graduated. assume that your friends represent a random sample. interpret the sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search.
The sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search will have a mean of 0.60 (60%) and a standard deviation of 0.071 (7.1%).
A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from the same population.
The following are the characteristics of the sampling distribution:
It is a probability distribution.It is built up of a statistic derived from a random sample.It is for a specific statistic (such as the mean or proportion).It depends on the sample size.The sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search can be interpreted as follows:
Only 60% of the students in a graduating class of 250 will find employment in the first round of a job search. Suppose we take a sample of 20 friends who have recently graduated. Since it is a random sample, it is possible to obtain different values of the sample proportion of your friends who will find employment in the first round of a job search. The distribution of all the possible sample proportions is called the sampling distribution.
The mean of the sampling distribution is equal to the population proportion of 60%. The standard deviation of the sampling distribution can be determined using the formula:
standard deviation = √(p(1-p)/n),
Where p is the population proportion, and n is the sample size.
Standard deviation = √(0.60 x 0.40/20) ⇒ 0.012 (1.2%)
Therefore, the sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search will have a mean of 0.60 (60%) and a standard deviation of 0.012 (1.2%).
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