Answer:
Ans 26
Step-by-step explanation:
F(x) = x/2
proof:
at x=0, f(x)=0
at x= -2 , f(x) = -1
and x = -4 , f(x) = -2
that's it.
Harold’s balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 years, the balance of the account was $11,875. If Harold did not make any additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?
Answer: 625
Step-by-step explanation: 1875/3=625
Graph the function. Thank you
Answer:
Step-by-step explanation:
f(x) = -2x
x & f(x)
-2 is 4
-1 is 2
0 is 0
1 is -2
2 is -4
f(x)=-2x-4
x & f(x)
-2 is 0
-1 is -2
0 is -4
1 is -6
2 is -8
Which side is Pythagorean Theorem?
Answer:
B
Step-by-step explanation:
A^2+B^2=C^2
Solve this linear equation for x: 7 + 4 (5/4x - 1) = 18
Answer:
x=3
Step-by-step explanation:
7+4(5/4x-1)=18
7+5x-4=18
3+5x=18
5x=15
x=3
Answer:
x = 3
Step-by-step explanation:
18 = 7 + 4(\(\frac{5}{4}\)x - 1)
18 = 7 + 5x - 4
18 = 3 + 5x
15 = 5x
x = 3
jill and joel wrote equations for the line passing through the points (2,-1) and (-1,14). which student is correctJill 5x + y = 9Joel y + 1 = -5(x-2)a. jill only b. joel only c. both d. neither
The equation given by Jill and Joel both are correct. Option C .
The line passing through the points (2, -1) and (-1, 14).
The equation of a line passing through a point \((x_1, y_1)\) is \(y-y_1=m (x-x_1)\) where m is the slope.
To find the slope m, using slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{14-(-1)}{-1-3} \\m=-5\)
Further simplify,
Substitute the values in the given formula.
\(y-y_1=m(x-x_1)\\y-(-1)=-5(x-2)\\y+1=-5(x-2)\)
Further simplify,
5x+y=9
Both the equations are correct.
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a produce company packages presliced celery and carrots. let x represent the length of a slice of celery, and let y represent the length of a slice of carrot. x and y are independent events. the mean of x is 2.5 inches with a standard deviation of 0.6 inches, and the mean of y is 2.25 inches with a standard deviation of 0.4 inches. what is the mean and standard deviation of the difference, d
For two independent random variable - x and y, where the mean and standard deviation of x is 2.5in and 0.6in respectively and of y is 2.25in and 0.4in respectively, the mean and standard deviation of d, x-y is 0.25in and 0.72in respectively.
Therefore the answer is 0.25in and 0.72in.
The mean of x is 2.5in and standard deviation of x is 0.6in.
μ1 = 2.5
σ1 = 0.6
Variance of x can be obtained by
σ1² = 0.6² = 0.36
The mean of y is 2.25in and standard deviation of y is 0.4in.
μ2 = 2.25
σ2 = 0.4
Variance of y can be obtained by
σ2² = 0.4² = 0.16
Variance of the difference of the independent random variables, d = x - y can be obtained by
σ12² = σ1² + σ2²
= 0.36 + 0.16
= 0.52
The standard deviation of the difference can be obtained by
σ12 = √0.52
= 0.72
Mean of the difference, d can be obtained by
μ = μx - μy
= 2.50 - 2.25
= 0.25
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In math class, Abby learned that the ratio between the surface area of a cube and the area of one side is 6 to 1. When Abby got a cube-shaped box in the mail, she decided to test this fact. The area of one side of the box was 20 square inches.
What was the surface area of the entire box?
Answer:
120 sq in
Step-by-step explanation:
20 * 6 = 120 sq in
How can producers make the most profit? Check all that apply.
They can work to increase their marginal cost.
They can work to decrease their marginal cost.
They can raise prices to increase marginal revenue.
They can lower prices to decrease marginal revenue.
They can keep marginal costs below marginal revenues.
They can keep marginal revenues below marginal costs.
The correct options are:
They can work to decrease their marginal cost.
They can raise prices to increase marginal revenue.
They can keep marginal costs below marginal revenues.
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
Producers can make the most profit by:
Working to decrease their marginal cost.
Keeping marginal costs below marginal revenues.
Raising prices to increase marginal revenue, as long as it does not decrease demand for their product.
Therefore, the correct options are:
They can work to decrease their marginal cost.
They can raise prices to increase marginal revenue.
They can keep marginal costs below marginal revenues.
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Due to yet another road construction project in her city, Sarah must take a detour to get from work to her house. Not convinced the detour is the shortest route, Sarah decided to perform an experiment. On each trip, she flips a coin to decide which way to go; if the coin flip is heads, she takes the detour and if it's tails, she takes her alternative route. For each trip, she records the time it takes to drive from work to her house in minutes. She repeats this procedure 13 times.
Calculate a 95% confidence interval for the difference between the mean travel times for the detour and alternative routes (do it as Detour - Alternative). Use t* = 2.675 and round your final answer to 3 decimal places.
Group of answer choices
(0.692, 6.068)
(-0.288, 7.048)
(1.734, 5.026)
(1.133, 5.627)
However, based on the given answer choices, we can determine that the correct option is (1.133, 5.627) to calculate the 95% confidence interval.
To calculate the 95% confidence interval for the difference between the mean travel times for the detour and alternative routes, we need the following information:
Sample size (n): 13
Mean travel time for the detour (x1): Calculate the average travel time for the detour.
Mean travel time for the alternative route (x2): Calculate the average travel time for the alternative route.
Standard deviation for the detour (s1): Calculate the sample standard deviation for the detour.
Standard deviation for the alternative route (s2): Calculate the sample standard deviation for the alternative route.
Degrees of freedom (df): Calculate the degrees of freedom, which is n1 + n2 - 2.
t* value: The t* value for a 95% confidence interval with the given degrees of freedom.
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Why do you think we need to mulltiply the circle area by two?
Answer:
the usual definition of pi is the ratio of the circumference of a circle to its diameter, so that the circumference of a circle is pi times the diameter, or 2 pi times the radius. ... This give a geometric justification that the area of a circle really is "pi r squared".Jan 29, 2008
Step-by-step explanation:
what is the answer for -(2n-b)=-2
Answer:
b=2n−2
Step-by-step explanation:
Distribute -1 to every term in the parentheses:-2n+b=-2
Add 2n to isolate b
You might want to specify which variable you are solving for...
Q4) [IT, 1C] These vectors are 05) [24] Determine a vector that is orthogonal to [4, -5, 7). on the page. In what direction does pxq point? 310
The vector P × Q points in the direction [20/7, 11/7, 5]. One possible vector that is orthogonal to [4, -5, 7] is [1, 0, -4/7].
To determine a vector that is orthogonal (perpendicular) to [4, -5, 7], we can find a vector that has a dot product of zero with [4, -5, 7].
Let's denote the vector we are looking for as [x, y, z]. To ensure orthogonality, we can set up the dot product equation:
[4, -5, 7] · [x, y, z] = 0
Taking the dot product of the two vectors, we have:
4x - 5y + 7z = 0
This equation represents a plane in three-dimensional space. To find a vector that lies on this plane and is orthogonal to [4, -5, 7], we can choose arbitrary values for two of the variables (x, y, or z) and solve for the third variable.
Let's set x = 1 and y = 0:
4(1) - 5(0) + 7z = 0
4 + 7z = 0
7z = -4
z = -4/7
Therefore, one possible vector that is orthogonal to [4, -5, 7] is [1, 0, -4/7].
Now let's consider the direction of the cross product between [4, -5, 7] and [1, 0, -4/7], denoted as P × Q.
To find the cross product, we can use the formula:
P × Q = [P2Q3 - P3Q2, P3Q1 - P1Q3, P1Q2 - P2Q1]
Substituting the given values, we have:
[4, -5, 7] × [1, 0, -4/7] = [(−5)(−4/7) − 7(0), 7(1) − 4(−4/7), 4(0) − (−5)(1)]
= [20/7, 11/7, 5]
Therefore, the vector P × Q points in the direction [20/7, 11/7, 5].
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Jorge has a box with different colors of tubes of paint. In the box, there are 7 tubes of blue paint, 4 tubes of red paint, 3 tubes of yellow paint and 6 tubes of green paint. Jorge selects a tube of paint at random. Which is more likely: selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint?
The probability that is more likely between selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint id; Both are equally lilkely.
What is the probability of selection?We are given;
Number of blue tubes = 7
Number of red tubes = 4
Number of yellow tubes = 3
Number of green tubes = 6
Thus;
Total number of painted tubes = 7 + 4 + 3 + 6 = 20
Probability of selecting a blue tube = 7/20
Probability of selecting a red tube = 4/20
Probability of selecting a yellow tube = 3/20
Probability of selecting a green tube = 6/20
Thus;
P(selecting a tube of blue or yellow paint) = (7/20) + (3/20) = 10/20
P(selecting a tube of green or red paint) = (6/20) + (4/20) = 10/20
Thus, they are equally likely.
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can someone please help me
Answer:
Cos (3pi/4) =0.999154554
Sin (3pi/4)=0.041111762
Step-by-step explanation:
On your calculator there should be SIN and COS next to each other
#1 tap COS
#2 put your given numbers, in this case
COS(3pi/4) = 0.999154554
same goes for SIN
SIN (3pi/4)=0.041111762
please help with this question I really need quick geometry
7) The transformation is a dilation by a scale factor of 1.5.
8) The transformation here is; Rotation 180° about the origin.
How to carry out transformations?
7) We are told that ABCG is transformed to KHIJ.
Coordinates of ABCG are;
A(-2, -3), B(0, 5), C(6, 0), G(1, -3)
Now, coordinates of KHIJ are;
K(-3, -4.5), H(0, 7.5), I(9, 0), J(1.5, -4.5)
Now, from the transformed shape, we see that its' coordinates are 1.5 times that of the original shape coordinates. Thus, we can say that the transformation is a dilation by a scale factor of 1.5.
8) We are told that ABC is transformed to KLJ.
Coordinates of ABC are;
A(-9, 8), B(-4, 7), C(-7, 1)
Now, coordinates of KLJ are;
K(9, -8), L(4, -7), J(7, -1)
It is clear that the transformation here is;
(x, y) → (-x, -y)
From transformation rules, we can say that the transformation here is;
Rotation 180° about the origin.
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Find f(3) and find one value of x for which f(x)=2.
Answer:
f(3)=-4; x=1
Step-by-step explanation:
Just use the graph
\(\huge\boxed{f(3)=-4}\\\huge\boxed{f(1\ \textsf{or}\ 4)=2}\)
For this question, we just need to look at the graph.
Part a\(f(3)=\ ?\)
Go to \(3\) on the x-axis and see what value from the y-axis it intersects with.
It's \(-4\), right at the bottom of the little valley there.
Part b\(f(?)=2\)
For this part, we do the opposite. Go to \(2\) on the y-axis and find one value it intersects with from the x-axis.
You can go with either \(1\) or \(4\) here.
The length of each side of equilateral triangle T is 6 times the length of each side of equilateral triangle X.
Quantity A The ratio of the length of one side of T to
the length of another side of
Quantity B The ratio of the length of one side of X to
the length of another side of X
•A. Quantity A is greater.
• B. Quantity B is greater.
C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.
C. The two quantities are equal. We can see that both Quantity A and Quantity B have the same value of 1. Hence, the two quantities are equal.
Since we know that the length of each side of triangle T is 6 times the length of each side of triangle X, we can set up the following equations:
Length of side of T = 6 * Length of side of X
To compare the ratios of the sides, we can use the following formula:
Ratio of one side to another = Length of one side / Length of another side
For Quantity A, we can choose any two sides of triangle T and find their ratio. Let's choose the two adjacent sides:
To further explain the concept, let's consider the properties of equilateral triangles.
An equilateral triangle is a special type of triangle where all three sides are equal in length. Hence, if we know the length of one side, we automatically know the length of all three sides.
Now, coming back to the given question, we are told that the length of each side of triangle T is 6 times the length of each side of triangle X. This means that if the length of one side of triangle X is 'a', then the length of one side of triangle T is 6 times 'a', which is '6a'.
Hence, we can write:
Length of side of T = 6a
Length of side of X = a
Now, let's compare the ratios of the sides.
For Quantity A, we need to find the ratio of one side of triangle T to another side of T. Let's choose the two adjacent sides:
Ratio of adjacent sides of T = Length of side of T / Length of adjacent side of T
Since all three sides of an equilateral triangle are equal, the adjacent side of T is also 6a. Hence, we get:
Ratio of adjacent sides of T = (6a) / (6a) = 1
For Quantity B, we need to find the ratio of one side of triangle X to another side of X. Let's again choose the two adjacent sides:
Ratio of adjacent sides of X = Length of side of X / Length of adjacent side of X
Since all three sides of an equilateral triangle are equal, the adjacent side of X is also 'a'.
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Connective tissue bands called ________ prevent flexor tendons of the forearm and leg from rising like bowstrings.
Connective tissue bands called annular ligaments prevent flexor tendons of the forearm and leg from rising like bowstrings.
Annular ligaments are ring-like structures made of fibrous tissue that surround and hold tendons in place as they pass through tight spaces in the body. In the forearm, the annular ligaments hold the tendons of the flexor muscles in place as they pass under the wrist and into the hand.
In the leg, the annular ligaments hold the tendons of the hamstring muscles in place as they pass behind the knee.
Without annular ligaments, the tendons would be able to move too freely, causing them to bowstring and reducing their effectiveness in controlling movement. The annular ligaments help to keep the tendons in the correct position, allowing them to function properly and enabling smooth and efficient movement of the joints.
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3/12 simplified version
Answer:
1/4
Step-by-step explanation:
divide numerator and denominator by 3
What is a double fact in 1st grade math?
Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16
What do you mean by One-to-One Correspondence?
the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.
Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.
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Answer:
A double expression
Step-by-step explanation:
when the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. what is the orignal number?
If the new number is four times the reciprocal of the original number, then the original number is 0.02.
Let us assume the original positive decimal number is = "x".
When we move the decimal point of x four places to the right,
We get, "10000x", which is four times the reciprocal of x.
So, equation can be written as;
⇒ 10000x = 4(1/x),
On simplifying the equation,
We get,
⇒ 10000x² = 4,
Dividing both sides by 10000,
We get,
⇒ x² = 0.0004,
Simplifying further,
We get,
⇒ x = 0.02
Therefore, the original positive decimal number is 0.02.
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Students measured the length of several pencils and recorded their data in a table.
Pencil Lengths (Inches)
3
7
8
,
5
1
4
,
4
,
6
1
8
,
4
1
2
,
5
1
4
,
3
1
2
,
5
3
8
,
4
3
4
,
5
Part A
How many dots will the line plot have in all?
A.
2
B.
6
C.
7
D.
10
Part B
The students will make the line plot using one fractional unit. What fractional unit should the students use so that all of the data can be plotted above a label?
A.
tenths
B.
eighths
C.
fourths
D.
halves
HELP MEEEE
Answer: I don't know, sorry!
Step-by-step explanation:
Define P(n) to be the assertion that:
n(n1)(2n 1)πΣε6j=1
(a)Verify that P(3) is true.
(b)Express P(k).
(c)Express P(k + 1).
(d)In an inductive proof that for every positive integer n,
=n(n+1)(2n 1)6j=1
what must be proven in the base case?
(e)In an inductive proof that for every positive integer n,п(п + 1)(2n + 1)6j=1
what must be proven in the inductive step?
(f)What would be the inductive hypothesis in the inductive step from your previous answer?
(g) Prove by induction that for any positive integer n,
п(п + 1)(2n + 1)j=1
The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.
What is Integer?
A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.
Given that P(n) be the assertion
∑j² = n (n+1)(2n+1)/6
(a) For n = 3, we get
∑j² = 1² + 2²+3² =14
= 3(3+1)(6+1)/6
=14
Hence, P(3) is true.
(b) Expression for P(k) may take the form
∑j² = k (k+1)(2k+1)/6
(c) Expression for P(k + 1) may take the form
∑j² = (k+1) (k+2)(2k+3)/6
(d)Base case:
In base case, we must prove that P(1) is true.
(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.
(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.
(g)Base case:
a) For n=1, we get
RHS= 1(1+1)(2+1)/6
=1
Hence, P(1) is true.
Inductive hypothesis:
Assume P(k) is true:
∑j² = k (k+1)(2k+1)/6
Inductive step:
Now,
∑j² = k (k+1)(2k+1)/6 +(K+1)²
which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.
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Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
1)
The total number of tasks Terrence completed
2)
The total number of tasks Shelly completed
3)
The sum of Shelly's and Terrence's total points
4)
The difference between Shelly's and Terrence's total points
Answer:
2. the total number of tasks Shelly completed
What is the length of line BE?
Length of Line BE = √40 units
Length of the line segment:The length of a line segment is nothing but the shortest distance between two endpoints of the line segment. If we know the endpoints of a line segment, We can determine the length of the line segment using the distance formula. The formula for distance is given below
Distance = √(y₂- y₁)² + (x₂ - x₁)²Where, (x₁, y₁) and (x₂, y₂) are end points of line segment
Here we have
A graph in which b and e are located
From the graph, we can take b (7, 6) and e (5, 0)
And the length of BE = distance between b and e
As we know the formula for the distance between 2 points is given
Distance = √(y₂- y₁)² + (x₂ - x₁)²
Length of BE = √(0 - 6)² + (5 - 7)²
= √(- 6)² + (- 2)² = √36 + 4 = √40
Therefore,
Length of Line BE = √40 units
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Tanee claimed that if two adjacent angles form a right angle then they are supplementary. This statement is true. always sometimes never
Answer:
lkmjnhbvc xzsxfghj
Step-by-step explanation:
Answer:
never true
Step-by-step explanation:
Multiply (X^4+1)(3x^2+9x+2)
Answer:
whatever they said up there
yee yee
Step-by-step explanation:
Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads? (2 points) Answers: 21,356 x 2 21,356 x one fourth 21,356 x one half 21,356 x one and one half
Given:
Jimmy reads a book with 21,356 words.
Bob reads a book with one-and-a-half times as many words.
To find:
The expression that represents the number of words Bob reads.
Solution:
We have,
Number of words Jimmy reads = 21,356
Bob reads a book with one-and-a-half times as many words. So,
Number of words Bob reads = Number of words Jimmy reads × one-and-one-half
\(=21,356\times 1\dfrac{1}{2}\)
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
D
A bicycle has a listed price of $842.98 before tax. If the sales tax rate is 7.25%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$842.98 * 107.25/100 = $904.10
107.25% = 107.25/100
Step-by-step explanation:
The price is at 842.98 before adding the taxes of 7.25%
if that is the price then it represents 100% of the price. By adding the sales taxes the full price after taxes will be at 100%+7.25% = 107.25 % of the previous price.
The price after sales taxes will be at
$842.98 * 107.25/100 = $904.10
Two brothers Steven and Walter each inherit 41000. Steven invests his inheritance in a savings account with an annual return of 2.7% while Walter invests his inheritance in a cd paying 6.4% annually. How much more money than Steven does Walter have after 1 year
Answer:
Walter earns $1,517 more than Stevens in one year.
Step-by-step explanation:
Giving the following information:
Two brothers Steven and Walter each inherit $41,000
Steven:
Annual return= 2.7%
Walter:
Annual return= 6.4%
To determine the future value for the brothers, we need to use the following formula:
FV= PV*(1+i)^n
Steven:
FV= 41,000*1.027= $42,107
Walter:
FV= 41,000*1.064= $43,624
Difference= 43,624 - 42,107= $1,517
Walter earns $1,517 more than Stevens in one year.