Answer:
Step-by-step explanation:
y = f(x) = - \(\frac{1}{2}\) x - 3
f(- 4) = - \(\frac{1}{2}\) (- 4) - 3 = - 1
f( - 2) = - \(\frac{1}{2}\) (- 2) - 3 = - 2
x ║ - 4 ║ - 2 ║ 0 ║ 2 ║ 4 ║
y ║ - 1 ║ - 2 ║ - 3║- 4║- 5║
Hey! This question is probably the hardest for me, I just don't understand it. So if you can help it would be great. Thank you!! :)
Answer:
11 feet
Step-by-step explanation:
1yard =3 feet
12 yards = 36 feet
36 - 22 = 11 feet
help asap, please and thank you
By understanding the proportions of each section with respect to the entire hexagon we have:
{1, 1/2, 1/3, 1/6} {6, 3, 2, 1}{3, 3/2, 1, 1/2}{2, 1, 2/3, 1/3}How to construct a diagram related to possible sections of a hexagonThe first row represents the proportion of each section with respect to the entire hexagon, which is shown below:
{1, 1/2, 1/3, 1/6}
The elements of the second row are obtained by mutiplying all the elements of the first row by 6:
{6, 3, 2, 1}
The elements of the third row are calculated by multiplying all the elements of the first row by 3:
{3, 3/2, 1, 1/2}
And the elements of the fourth row are determined by multiplying all the elements of the first row by 2:
{2, 1, 2/3, 1/3}
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Solve for x.
5(x - 10) = 30 – 15x
A. x = 1
B. x = 4
C. x = 5
D. x = 8
x=4
Step-by-step explanation:
Distrubutive property: 5x-50=30-15x
get x on one side: 5x-50+15x=30
combine like terms: 20x-50=30
subtract on both sides: 20x=30+50
20x=80
simplify: 20/20=80/20
x=4
Please help asap! I don’t understand it
Step-by-step explanation:
From given graph
f(-3)= (-3)
f(1)=1
Answer:
f(-3) = -3
f(1) = 1
Step-by-step explanation:
f(x) means the "function of x".
Therefore, the number in the bracket after the letter f is the value of x.
f(-3) means find the value of the function (y-value) when x = -3
f(1) means find the value of the function (y-value) when x = 1
To find f(-3), find x = -3 on the x-axis.
Now trace vertically until you meet the line. Read the value of y at this point.
⇒ f(-3) = -3
To find f(1), find x = 1 on the x-axis.
Now trace vertically until you meet the line. Read the value of y at this point.
⇒ f(1) = 1
The Width of a rectangle is a third as long as the length. If the perimeter is 24 inches, what is the area of the rectangle?
Answer:
27
Step-by-step explanation:
Width = w
length = l
w=1/3 * l
or, l=3w
perimeter=2l+2w=24
2(l+w)=24
2(3w+w)=24
2*4w=24
8w=24
w=3
l=9
Area=3*9=27
PLease help
The most important reason to have a nutritious breakfast the morning of a test is to ensure that
hunger is not a distraction during the test.
the brain performs at its optimum level.
vitamins and minerals can give energy.
the body has energy to help memory.
Answer:
the brain performs at its optimum level
Step-by-step explanation:
answer on edg 2020
The brain performs at its optimum level. Option B is correct.
Given that,
Complete the statement by choosing the appropriate option.
A healthy and balanced diet is what nutrition is all about. Food and drink supply the energy and nutrients required for good health. Understanding this nutrition terminology may help you make smarter meal choices.
Here,
The most crucial reason to have a nutritious meal the morning of a test is to guarantee that the brain operates at peak performance. So, the correct statment among the option is "the brain performs at its optimum level.."
Thus, the most important reason to have a nutritious breakfast on the morning of a test is to ensure that the brain performs at its optimum level.
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Solve the initial value problemf’(x) = 1/x - 2x + x^1/2; f(4) = 2
SOLUTION:
Case: Initial value problem
An initial value problem is an ordinary differential equation together with an initial condition that specifies the value of the unknown function at a given point in the domain
To solve the initial value problem, we have a value of the derivative of y when x is known.
y'(x)= value
Given:
f(4)=2
\(\begin{gathered} f^{\prime}(x)=\frac{1}{x}-2x+x^{\frac{1}{2}} \\ Integrating \\ f(x)=ln(x)-\frac{2x^2}{2}+\frac{2x^{\frac{3}{2}}}{3}+C \\ f(x)=ln(x)-x^2+\frac{2x^{\frac{3}{2}}}{3}+C \\ f(4)=2 \\ f(4)=ln(4)-2(4)^2+\frac{2(2)^{\frac{3}{2}}}{3}+C \\ 2=1.386-32+1.8856+C \\ C=2-1.3863+32-1.8856 \\ C=30.7281 \end{gathered}\)The resulting equation will be:
\(f(x)=\ln x-x^2+\frac{2x^{\frac{3}{2}}}{3}+30.7281\)Final answer:
\(f(x)=\operatorname{\ln}x-x^2+\frac{2x^{\frac{3}{2}}}{3}+30.7281\)A woman put $580 into a savings account for three years. The rate of interest on the account was 6.5%. How much was the interest for the year in dollars and cents? (Use simple interest)
Answer:
$113.1
Step-by-step explanation:
which is just 6.5% of 580 times 3
what is an area of a square that has 3 inches as it's high and width? also would the answer be inches or inches squared?
Area of a square: side length ^2
Side lenght = 3 inches
Replacing:
A = 3 ^2 = 9 in2
Answer= 9 squared inches
what is the volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section at
The volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.
To calculate the volume of the solid figure with a height of 2 and a square cross-sectional area, we need to know the length of the side of the cross-section. Let's assume that the length of the side is x.
The cross-sectional area of the figure is the area of the square, which is x^2. The volume of the figure is the product of the cross-sectional area and the height, which is 2x^2.
Therefore, the volume of the solid figure is 2x^2.
It's important to note that the volume of a solid figure is directly proportional to its cross-sectional area. This means that if we increase the cross-sectional area by a factor of 2, the volume will also increase by a factor of 2. This relationship is because the cross-sectional area determines how much material there is to fill up the space. The larger the cross-sectional area, the more material is needed to fill up the same height, resulting in a larger volume.
In conclusion, the volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.
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1. Solve for the unknown in each triangle. Round each answer to the nearest tenth.
The values of the missing sides are;
a. x = 35. 6 degrees
b. x = 15
c. x = 22. 7 ft
d. x = 31. 7 degrees
How to determine the valuesTo determine the values, we have;
a. Using the tangent identity;
tan x = 5/7
Divide the values
tan x = 0. 7143
x = 35. 6 degrees
b. Using the Pythagorean theorem
x² = 9² + 12²
find the square
x² = 225
x = 15
c. Using the sine identity
sin 29= 11/x
cross multiply the values
x = 11/0. 4848
x = 22. 7 ft
d. sin x = 3.1/5.9
sin x = 0. 5254
x = 31. 7 degrees
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Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
(-4.-8) and (-8, -9)
Answer:
The equation in the slope-intercept form will be:
y = 1/4x - 7
Step-by-step explanation:
Given the points
(-4.-8) (-8, -9)\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)\)
\(m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}\)
\(m=\frac{1}{4}\)
We know that the slope-intercept of line equation is
\(y=mx+b\)
where m is the slope and b is the y-intercept
substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'
y = mx+b
-8 = 1/4(-4)+b
-8 = -1 + b
b = -8+1
b = -7
so the y-intercept = b = -7
substituting m = 1/4 and b = -7 in the slope-intercept form of line equation
y = mx+b
y = 1/4x + (-7)
y = 1/4x - 7
Thus, the the equation in slope-intercept form will be:
y = 1/4x - 7
The function y = 3.28 x converts length from x meters to y feet.
a. Graph the function. Which variable is independent? dependent? b. Is the domain discrete or continuous
The given function y = 3.28x converts length from x meters to y feet.
To graph the function, we can plot a few points and connect them.
Here are some points that we can plot:
x (meters) y (feet)0 03.28 10.7613.12 42.9456.56 214.5489.14 299.8720 65.6160 524.9340.3048 1
Since y depends on x, x is the independent variable, and y is the dependent variable.
We can see that as the value of x increases, so does the value of y, which means that the graph slopes upward
The domain of a function is the set of all values that the independent variable can take on. Since we can have any positive value of x (in meters), the domain of this function is continuous.
In conclusion, the given function y = 3.28x converts length from x meters to y feet. x is the independent variable, and y is the dependent variable. The graph of the function slopes upward, indicating that as x increases, y also increases. The domain of the function is continuous because x can take on any positive value.
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Enter a recursive rule for the geometric sequence.
5, -10, 20, -40,...
a^1 = __; a^n = __
Answer
a^1=-2,5
a^n=a×a^n-1
4) Your phone needs to be charged every other day and your tablet needs to be charged every third day. If you charge both today, how many days will it be until you need to charge both on the same day?
Answer:
If they were both charged today, it would be on the sixth day that they were actually charging at the same time
What is the sum of this infinite geometric series?
-5+4-16/5+64/25-256/125-
Enter your answer in the box. Enter any fraction as a simplified fraction.
...
The sum of this infinite geometric series is -25/9.
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
The given geometric series is -5+4-16/5+64/25-256/125
The general formula for finding the sum of an infinite geometric series is S= a/1-r, where s is the sum, a is the first term of the series, and r is the common ratio.
Here, a=-5 and r= -4/5
Now, S = -5/(1+4/5)
= -5/(9/5)
= -25/9
Therefore, the sum of the series is -25/9.
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What is the equation of the line that passes through the point (-4,-8) and has a slope of 5/2?
Step-by-step explanation:
Solition:
Let the line passes through the point (-4,-8) be (x1,y1) i.e. x1= -4 and y1 = -8 .
Slope(m) = 5/2
The required equation of the line passing through the point (-4,-8) is
y-y1 =m(x-x1)
or, y-(-8) = 5/2 (x-(-4))
or, y+8 = 5/2 (x+4)
or, 2(y+8) = 5(x+4)
or, 2y+16 = 5x +20
or, 16-20= 5x-2y
Therefore, 5x-2y = -4 .
Can someone help me out with this question fast!?!?!
x > 1200 and x < 1600; Patrice needs to consume more than 1200 calories, but less than 1600 calories.
The 1st option is the answer
How to solve for x in the inequality, and explain what the answer represents?
Given that: Patrice is trying a low-calorie diet. She would like to keep her calories consumed between the levels shown in the following compound inequality: 2450 < 2x + 50 and 2x + 50 < 3250.
Solve the two inequalities separately:
2450 < 2x + 50
2450 - 50 < 2x
2400 < 2x
1200 < x
x > 1200
2x + 50 < 3250
2x < 3250 - 50
2x < 3200
x < 1600
Therefore, Patrice needs to consume more than 1200 calories (i.e. x > 1200), but less than 1600 calories (i.e. x < 1600).
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Subtract
−
10
�
2
−
10
�
−10x
2
−10x from
−
2
�
2
−
10
�
−2x
2
−10x.
The final result of the subtraction is: -4 ÷ (1 - 5\(x^{2}\))
What is Algebraic expression ?
A cοmbinatiοn οf variables and cοnstants is an algebraic expressiοn.
To subtract the expression:
(-10 ÷ (2 - 10\(x^{2}\))) - (-2 ÷ (2 - 10\(x^{2}\))))
we need to first simplify the denominator by factoring out a common factor of 2:
2 - 10\(x^{2}\)= 2(1 - 5\(x^{2}\))
Now we can write the expression as:
(-10 ÷ [2(1 - 5\(x^{2}\))]) - (-2 ÷ [2(1 - 5\(x^{2}\))])
which simplifies to:
(-5 ÷ [1 - 5\(x^{2}\)]) - (-1 ÷ [1 - 5\(x^{2}\)])
Using the fact that subtracting a negative is the same as adding a positive, we can rewrite this as:
(-5 + 1) ÷ [1 - 5\(x^{2}\)]
which equals:
-4 ÷ [1 - 5\(x^{2}\)]
Therefore, the final result of the subtraction is: -4 ÷(1 - 5\(x^{2}\))
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Complete Answer:
Subtract the expression \($(-10\div(2-10x^{2}))-(-2\div(2-10x^{2}))$\)
Solve for X, Leave in simplest radical form.
By the concepts of trigonometric ratios, the value of x in the right angle triangle is 1.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
If we take the reference angle of 60°, Then the hypotenuse is x and the adjacent is 2.
We know, cos = adjacent/hypotenuse.
Therefore,
cos60° = 2/x.
x = 2cos60°.
x = 2×1/2.
x = 1.
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8-4(2+5²)÷12
answer?
Answer:
-1 i think
Step-by-step explanation:
BRAINY REWARD!!Help me pls.
Answer:
A \(1.3 - 5.6 = - 4.3\)
Step-by-step explanation:
\(1.3 - 5.6 = - 4.3\)
Hope this helps! Pwease mark me brainliest! Have a great day!
−xXheyoXx
Answer:
just answering so you can give the other person brainliest :D
Step-by-step explanation:
Find the area of the region bounded by the parabola y = 4x^2, the tangent line to this parabola at (5, 100), and the x-axis.
The area of the region is 25/3 square units.
What is parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve.
First, let's find the equation of the tangent line to the parabola at the point (5,100). The derivative of y = 4x² is y' = 8x, so the slope of the tangent line at x = 5 is y'(5) = 8(5) = 40. Thus, the equation of the tangent line is y - 100 = 40(x - 5), or y = 40x - 100.
To find the points of intersection of the parabola and the tangent line with the x-axis, we need to solve the equations y = 4x² and y = 40x - 100 for y = 0:
4x² = 0 => x = 0
40x - 100 = 0 => x = 2.5
So the region we want to find the area of is bounded by the x-axis and the curves y = 4x² and y = 40x - 100, with x ranging from 0 to 2.5.
To find the area, we need to integrate the difference between the two functions with respect to x:
A = ∫[0, 2.5] (40x - 100 - 4x²) dx
A = [20x² - 4/3 x³]0 to 2.5
A = 20(2.5)² - 4/3 (2.5)³ - 0
A = 25/3
Therefore, the area of the region is 25/3 square units.
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Give one example of a real world problem in which using a doubly linked list is more appropriate than a vector, and give an explanation of 1-2 sentences.
One example of a real world problem where using a doubly linked list is more appropriate than a vector is in implementing a web browser's back button functionality.
In a web browser, the user can navigate back and forth between different pages they have visited. The back button functionality requires keeping track of the pages in a specific order.
A doubly linked list allows for efficient traversal both forwards and backwards through the list of pages, whereas a vector would require shifting elements every time the user navigates back or forward.
Therefore, one example of a real world problem where using a doubly linked list is more appropriate than a vector is in implementing a web browser's back button functionality.
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1-)A sample of 144 elements from a population with a standard deviation of 48 is selected. The sample mean is 180. The 95% confidence interval for μ is Note: at 95%, Z /2 = 1.96
2-)In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters not favoring the incumbent is:
Note: at 95%, Z /2 = 1.96
1. Confidence interval = 172.16 - 187.84
2. Confidence interval = 0. 876 - 0.924
How to determine the valuesThe formula for determining confidence interval is expressed as;
1. Confidence Interval = sample mean ± (Z × (population standard deviation / √sample size))
Substitute the values, we have;
Confidence Interval = 180 ± (1.96 × (48 / √144))
Find the square root and divide the values, we have;
Confidence Interval = 180 ± (1.96 × 4)
Then, we get;
Lower = 180 - (7.84) = 172.16
Upper bound = 180 + (7.84) = 187.84
2. Confidence interval = 0.9 ± 1.96 × √((0.9(1-0.9))/400)
Confidence interval = 0.9 ± 1.96 × √((0.09)/400)
Divide the values and find the square root
Confidence interval = (0.9 - 0.024) - ( 0.9 + 0. 024)
Confidence interval = 0. 876 - 0.924
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Obtain the 1's and 2 's complements of the following binary numbers:
a) 11101010
b) 01111110
c) 00000001
d) 10000000
e) 00000000
The 1's and 2 's complements of the following binary numbers:
11101010 (original)
00010101 (1's complement)
00010110 (2's complement)
a) For 1's complement, we simply flip all the bits:
11101010 (original)
00010101 (1's complement)
For 2's complement, we first find the 1's complement and then add 1:
11101010 (original)
00010101 (1's complement)
00010110 (2's complement)
b) For 1's complement, we simply flip all the bits:
01111110 (original)
10000001 (1's complement)
For 2's complement, we first find the 1's complement and then add 1:
01111110 (original)
10000001 (1's complement)
10000010 (2's complement)
c) For 1's complement, we simply flip all the bits:
00000001 (original)
11111110 (1's complement)
For 2's complement, we first find the 1's complement and then add 1:
00000001 (original)
11111110 (1's complement)
11111111 (2's complement)
d) For 1's complement, we simply flip all the bits:
10000000 (original)
01111111 (1's complement)
For 2's complement, we first find the 1's complement and then add 1:
10000000 (original)
01111111 (1's complement)
10000000 (2's complement)
e) For both 1's complement and 2's complement, we simply have the original number because the number is already 0:
00000000 (original)
00000000 (1's complement)
00000000 (2's complement)
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7+5-3*2(6*7)/4
• convert the above specified infix expression into
postfix expression
• Evaluate the resulted postfix expression
• convert the specified infix expression into prefix
expres
The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".
To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.
The postfix expression for the given infix expression is:
"7 5 + 3 2 * 6 7 * 2 * - 4 /"
To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.
Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.
We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.
To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.
The prefix expression for the given infix expression is:
"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"
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4. In how many ways can 5 men and 7 women be seated in a row so that no two men are next to each other? You must justify your answer.
Answer:
3628800 ways if the women are always required to stand together.
To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.
First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).
Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.
Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.
Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.
There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.
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A _____________ is a line that provides an approximation of the relationship between the variables.
Answer:
srat
Step-by-step explanation:hehe i really dont know
If You deposit $300 in an account with a 6% interest rate.
a) How much money will be in your account after 1 year?
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &1 \end{cases} \\\\\\ A = 300[1+(0.06)(1)]\implies A=300(1.06) \implies A = 318\)