Answer:
Below
Step-by-step explanation:
Mar 15 = 310.85
Apr 3 = 313.71
Apr 14 = 138.71
Jun 20 = 953.21
Part Two
Balance on Jun 30 = 616.11
Step-by-step explanation:
the lines next to the numbers are the numbers in order
Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resulting equation is .
The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.
According to the given question.
We have an equation
\(\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}\)
So, to find the resulting equation of the above equation we need to simplify.
First we will take LCD
\(\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}\)
\(\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}\)
\(\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}\)
Multiply both the sides by x.
\(\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}\)
Again multiply both the sides by x
\(2x^{2} -2x-12 = 5x^{2} +18x\)
\(\implies 5x^{2} -2x^{2} +18x +2x +12 = 0\)
\(\implies 3x^{2} + 18x+2x + 12 = 0\)
Factorize the above equation
⇒3x(x+6)+2(x+6) = 0
⇒(3x + 2)(x+6) = 0
⇒ x = -2/3 or x = -6
Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.
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Answer:
✔ 3x² + 20x + 12 = 0
Step-by-step explanation:
im keeping it simple that is the answer please put a 5 star
HELP ME PLZZ what is the y intercept in the equation y= 4x-3
Answer:
-3
Step-by-step explanation:
4x is the slope and the + or - always is the y intercept. also this would be a linear equation :)
Solve -6x +18> -30.
A. x < 2
B. x > 2
C. x > 8
D. x < 8
Answer: D, x < 8
Step-by-step explanation: Subtract 18 from both sides.
Simplify the expression
Subtract the numbers
Subtract the numbers
Divide both sides by the same factor, and flip the relation because the factor is negative
Cancel terms that are in both the numerator and denominator
Divide the numbers
−6x+18−18>−30−18=
=x<8
PLZ SOMEONE HELP I NEED IT DONE
In ΔEFG, f = 400 inches,
m
m∠F=94° and
m
m∠G=33°. Find the length of g, to the nearest 10th of an inch.
The measurement of the side g in the Δ EFG is 218.38
What is sine rule of triangle?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given that, In Δ EFG, f = 400 inches, m ∠ F = 94° and m ∠ G = 33°, we need to find, the length of g (refer to figure attached)
Using the sine rule of the triangle,
f / Sin F = g / Sin G = e / Sin E
400 / Sin 94° = g / Sin 33°
g = 400 / Sin 94° × Sin 33°
g = 218.38
Hence, the measurement of the side g in the Δ EFG is 218.38
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Answer:
g= 218.4
Step-by-step explanation:
Draw a diagram:
Draw a diagram:
E
F
G
f = 400
g = ?
94°
33°
A.A.S.
→
Law of Sines
A.A.S.→Law of Sines
sin
=
sin
sinA
a
=
sinB
b
From reference sheet.
Find other angle:
Find other angle:
∠
=
180
−
94
−
33
=
5
3
∘
∠E=180−94−33=53
∘
E
F
G
f = 400
g = ?
94°
33°
53°
sin
33
=
400
sin
94
sin33
g
=
sin94
400
Plug in. Opposite sides go together.
=
400
sin
33
sin
94
≈
218.3876
≈
218.4
g=
sin94
400sin33
≈218.3876≈218.4
Solve for the side and evaluate.
Your Solution:
=
218.4
g=218.4
The proportion of a normal distribution located between z = .50 and z = -.50 is ____.
The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
We have,
A normal distribution located between z = 0.50 and z = -0.50,
So,
Now,
From the Z-score table,
We get,
The Probability corresponding to the Z score of -0.50,
i.e.
P(-0.50 < X < 0) = 0.191,
And,
The Probability corresponding to the Z score of -0.50,
i.e.
P(0 < X < 0.50) = 0.191,
Now,
The proportion of a normal distribution,
i.e.
P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)
Now,
Putting values,
i.e.
P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)
Now,
Again putting values,
We get,
P(-0.50 < X < 0.50) = 0.191 + 0.191
On solving we get,
P(-0.50 < X < 0.50) = 0.382
So,
We can write as,
P(-0.50 < X < 0.50) = 38.2%
So,
The proportion of a normal distribution is 38.2%.
Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
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PLEASE HELP
find the smallest value of k, such that 56/k is a perfect sqaure.
Answer:
k =14
Step-by-step explanation:
56/14 = 4
Does the equation y=3x3+4x2+15x+7 represent a function? Explain. A. No, the equation is not a function because it is a polynomial and polynomials cannot be functions. B. A. No, the equation is not a function because there are multiple terms that contains the variable x. C. Yes, the equation is a function because there is only a single term that contains the variable y. D. Yes, the equation is a function because it is a polynomial and all polynomials are functions.
Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.
Step-by-step explanation: I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions ! Hope this helped
please help its the last one i need ! Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
Answer:
See explanation
Step-by-step explanation:
The first option (4t - 8/5)... equals 16/3 t -23/5 (the fourth option in the first row)
The second option 7t - 22 (still in the first row) equals 3(3t-4)...(the third option in the second row)
The third option (still in the first row) 5(2t+1)... equals 3t + 33 (the final option in the second row)
The two options in the second row to the left equal each other
-11/4 t + 36 = (-9/2t + 3)+(7/4t + 33)
a pollster is interested in knowing which presidential candidate voters prefer in the upcoming election. in an effort to obtain this information, 1000 voters are randomly selected and asked their preference. the sample in this situation is
To help account for variability, the pollster used a simple random sample.
Sampling is the selection of a subset (a statistical sample) of people from within a statistical population in statistics, assurance, and survey procedures. the population's characteristics that were sampled. Obtaining samples that are typical of the population being researched is the objective of statisticians.
In situations where it is not practical to evaluate the complete population, sampling offers insights and is more cost-effective and time-efficient than doing so.
Each observation gives a number for one or more characteristics of certain things or people, including their size, location, color, or weight.
In survey sampling, especially in stratified sampling, ratings can be added to the results to take into consideration the sample design. The practice is guided by conclusions from statistical theory and probability theory.
Since 1000 people are randomly selected , hence we can say that the preference is simple random sample.
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Adan took a test at school and completed it in an hour and a half. The test had two sections. If he took 45 minutes to complete the first Section, how much time did he use to finish the second section?
Answer:
45 minutes
Step-by-step explanation:
1 1/2 hours = 90 minutes
90 - 45 = 45
Young people respond more favorably to literature that reflects their cultural customs.
Which one of the following alternatives most accurately describes ethnic and cultural differences in children's reading development?
Young people respond more favorably to literature that reflects their cultural customs, and this is because of the importance of cultural background in children’s reading development. Ethnic and cultural differences play an essential role in the children's reading development.
Children's cultural and ethnic background has a considerable impact on their learning, and thus the type of literature they respond to. Children tend to read more when they find that the stories and books reflect their cultural customs and identity. This enhances their literacy and reading skills, which in turn leads to an increased interest in reading and a better understanding of what they are reading.
Cultural diversity can help children become more empathetic and accepting of differences, and can help them to learn about new cultures. Therefore, it is crucial to provide children with access to a range of culturally diverse literature to help them understand the experiences of others. Children learn more effectively when they can make connections between what they are learning and their own experiences.
In conclusion, children's reading development is influenced by their ethnic and cultural background. Young people respond more favorably to literature that reflects their cultural customs, which can help them to become more empathetic and accepting of differences, as well as develop their literacy and reading skills. Therefore, it is essential to provide children with a range of culturally diverse literature to help them learn about new cultures and understand the experiences of others.
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Help!
5 easy math questions (Order of Operations)
( 10+14 ) divided by ( 13-5 )
8 x 3 x (10+6)
(9 + 36 - 5) divided by 8
( 8-4 ) + 10 divided by 5
( 8+27 - 5) divided by 3
These are super easy but I cannot deal rn lol. Please do the solving steps as well. Merci!
Answer:
3
384
5
2.8
10
Step-by-step explanation:
--------------------------------------
10 + 14 = 24 | 13 - 5 = 8
24 divided by 8 = 3
--------------------------------------
8 x 3 = 24 | 10 + 6 = 16
24 x 16 = 384
--------------------------------------
9 + 36 = 45 | 45 - 5 = 40
40 divided by 8 = 5
--------------------------------------
8 - 4 = 4 | 4 + 10 = 14
14 divided by 5 = 2.8
--------------------------------------
8 + 27 = 35 | 35 - 5 = 30
30 divided by 3 = 10
--------------------------------------
Find the volume will give brainliest to whoever answers correctly
Answer:
Vol = 252 cubic ft
Step-by-step explanation:
Consider the bottom and top of the shape separately. Calculate the volumes and add them together.
Bottom of the shape is a prism. Volume of a prism:
V =
Base Area•Height
The base is a triangle. Use Area of a triangle formula:
A = 1/2b•h
A = 1/2(7)(6)
A = 21
Use 21 for Base Area for both parts of the volume calculation.
Vol of prism, continued:
V = 21•9
V = 189
Volume of a pyramid (top)
V = 1/3•BaseArea•Ht
=1/3(21)(9)
=63
Total Volume=
189 + 63
= 252 cubic ft
5,376 divided by 24 explanation
Your answer should be 224.
Hope you get this right.
3/4 subtracted from a number, and then 5 1/4 was added to the result The sum was -7. What was the original number?
If
x
=
5
and
y
=
4
, evaluate the following expression:
3
x
²
+
3
x
y
+
y
²
Step-by-step explanation:
3x²+3xy+y²
3×5²+3×5×4+4²
3×25+60+16
75+60+16
151
hope it help u
can u show horozontally
somebody please help RN. thank you.
Answer: D
Step-by-step explanation:
To add credibility to your response
Impersonaters and scammers usually don't have things like phone numbers and personal links, they can increase your credibility
Complete to get an equal ratio
3x/y = ? /2y
Answer:
6x
Step-by-step explanation:
3x/y=x/2y
Since 2y is 2X greater than y, 6x is 2X greater than 3x.
So,
The answer is 6x.
please help giving points and brainliest thx
The following descriptions of the function passing through (0,7) and (4,4) are true:
The slope of the function is -3/4 and the y-intercept is 7.
The function is linear and continuous.
y=-3/4x + 7 represents this function.
y = -4/3x + 9 represents this function.
What is function?In mathematics, a function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output. A function is often represented by a mathematical expression, formula or graph. Functions can be described using different notations, such as f(x), y = f(x), or y = g(u,v), and they can take various forms, such as linear, quadratic, polynomial, exponential, logarithmic, trigonometric, and many others.
Here,
To determine which descriptions of the function are true, we need to use the information given about the two points (0,7) and (4,4) to find the slope and y-intercept of the linear function that passes through them. Using the formula for the slope of a line:
slope = (4 - 7) / (4 - 0) = -3/4
So the slope of the function is -3/4.
To find the y-intercept, we can use the point-slope form of the equation of a line, which is y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line. We can use either of the two points given:
y - 7 = (-3/4)(x - 0)
y - 7 = (-3/4)x
y = (-3/4)x + 7
So the y-intercept of the function is 7.
Using this information, we can now evaluate the given descriptions of the function:
y = 7x - 3/4: This represents the function, but the slope is incorrect (should be -3/4).
The function is decreasing: This is not true, since the slope is negative but less than -1.
y=-3/4x + 7: This represents the function, and the slope and y-intercept are both correct.
The slope of the function is -4/3 and the y-intercept is 9: This is not true, since the slope is -3/4 and the y-intercept is 7.
The function is increasing: This is not true, since the slope is negative.
The slope of the function is -3/4 and the y-intercept is 7: This is true, as shown by the calculations above.
y = -4/3x + 9: This represents a different function with a different slope and y-intercept.
The function is linear and continuous: This is true, since the function is a linear equation and is continuous over its domain.
The function is linear and discrete: This is not true, since the function is continuous over its domain.
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How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$) [asy] unitsize(1.5 cm); draw((0,0)--dir(60)--(1,0)); draw((0,0)--(1,0)); draw((0,0)--dir(-60)--(1,0)); label("$A$", (0,0), W); label("$B$", (1,0), E); [/asy]
Answer:
There are $\boxed{3}$ paths from $A$ to $B.$
A carpenter manufactures chairs and tables. It takes them 3 hours to make a table and 3.5 hours to make a chair. In a month, they do not work for more than 180 hours. On each table, they earn $30, and on each chair, they earn $38. In a month, they want to earn at least $1500. If they manufacture t tables and c chairs in a month, which pair of inequalities represent the correct relationship?
A. 3t+3.5c< 180
30t+38c 1500
B. 3t+3.5c 180
30t+38c≥ 1500
C. 3t+3.5c 180
30t+38c 1500
D. 3t+3.5c 180
30t+38c> 1500
The two expressions that make up an equation or an inequality are connected in a mathematical statement.
How do you identify inequalities?
The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 5x 4, is larger than the right part, 2x + 3, in the equation.
A mathematical inequality is a comparison made between two algebraic expressions using the larger than (>), less than (), and other inequality symbols. An inequality pair connected by and or or is referred to as a compound inequality.
B. 3t + 3.5c <= 180 and 30t + 38c >= 1500.
The first inequality represents the constraint that the carpenter cannot work more than 180 hours in a month. The second inequality represents the requirement that they earn at least $1500 in a month.
These two inequalities, combined, describe the conditions that the carpenter must satisfy in order to manufacture tables and chairs in a way that meets both the time constraint and the income requirement.
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Pls help me i need this done tonight
Answer:
27 yd²
Step-by-step explanation:
Refer to attachment.
Hope it helps :)
find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antiderivative.) f(x) = 7ex 6 sec2(x) on the interval − 2 , 2
The antiderivative of 7ex is 7ex, and the antiderivative of 6 sec2(x) is 6 tan(x). Thus, the most general antiderivative is F(x) = 7ex + 6 tan(x) + C, where C represents the constant of integration.
To find the antiderivative of the given function f(x) = 7ex 6 sec2(x), we integrate each term separately. The antiderivative of 7ex is simply 7ex, as the exponential function ex is its own antiderivative.
Next, we consider the antiderivative of 6 sec2(x). The derivative of the tangent function tan(x) is sec2(x), so the antiderivative of sec2(x) is tan(x). However, there is a coefficient of 6 in front of sec2(x), so the antiderivative becomes 6 tan(x).
Combining these results, we have F(x) = 7ex + 6 tan(x) as the antiderivative of the original function f(x) = 7ex 6 sec2(x). The "+ C" at the end represents the constant of integration, as any constant added to the antiderivative remains undetermined. Therefore, the most general antiderivative of f(x) is F(x) = 7ex + 6 tan(x) + C, where C is a constant.
To verify this result, we can differentiate F(x) and confirm that it indeed yields the original function f(x). Taking the derivative of F(x) with respect to x will give us back 7ex 6 sec2(x), thus confirming the correctness of the antiderivative.
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When conducting a scientific investigation, how many variables should be tested?.
An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist.
In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.
The variable you alter, regulate, or change in an experimental study to examine its effects is known as an independent variable. It is named "independent" because it is unaffected by any other study variables.
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b) If the joint probability distribution of three discrete random variables X, Y, and Z is given by, f(x, y, z)=. (x+y)z 63 for x = 1,2; y=1,2,3; z = 1,2 find P(X=2, Y + Z ≤3).
The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.
To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.
Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:
X=2, Y=1, Z=1
X=2, Y=1, Z=2
X=2, Y=2, Z=1
Step 2: Calculate the joint probability for each combination:
For X=2, Y=1, Z=1:
f(2, 1, 1) = (2+1) * 1 = 3
For X=2, Y=1, Z=2:
f(2, 1, 2) = (2+1) * 2 = 6
For X=2, Y=2, Z=1:
f(2, 2, 1) = (2+2) * 1 = 4
Step 3: Sum up the joint probabilities:
P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13
They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.
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which of the following are true of stacks? (select all that apply.) linear time
Stacks exhibit the property of Last-In-First-Out (LIFO), and they have constant-time insertion and removal. However, the statement "linear time" is not applicable to stacks.
Stacks exhibit the property of Last-In-First-Out (LIFO), which means that the last item inserted into the stack is the first one to be removed. This property allows for efficient insertion and removal of elements. However, the statement "linear time" is not applicable to stacks as it does not specify a specific operation or time complexity. Instead, the time complexity of stack operations depends on the implementation and the specific operation being performed.
Stacks have several key characteristics:
LIFO Order: Stacks follow the Last-In-First-Out order, where the most recently added item is the first one to be removed.
Constant-Time Insertion and Removal: Both pushing (inserting) and popping (removing) an element from a stack have a constant time complexity of O(1). This efficiency is achieved because elements are added or removed from the top of the stack.
Limited Access: Stacks typically allow access only to the topmost element. In other words, you can only push, pop, or peek (view) the top element without direct access to other elements in the stack.
Dynamic Size: Stacks can dynamically grow or shrink as elements are added or removed.
In summary, the statement "linear time" is not applicable to stacks as it does not describe a specific characteristic or operation of stacks.
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when written as either 8-15-17 or 15-8-17, the date August 15, 2017 has the property that the sum of the squares of the first two numbers is equal to the square of the third number. What is the first date after August 15, 2017 that has this property?
Answer:
...
Step-by-step explanation:
The volume of a cylinder is given by the formula V = ²h,
where r is the radius and h is the height of the cylinder.
Determine the volume of a soup can with a 3-inch radius and
a 5.5-inch height.
Use 3.14 for T.
a 145.51 in ³
b 245.51 in ³
c 103.62 in ³
d 155.43 in ³
Activate
Go to Settin
T (1,3) translations on a coordinate plane
Answer:
Look at the image.
Step-by-step explanation: