Answers
SOLUTION
We want to solve the equation
\(|5t-1|=6\)The absolute value of a number is equal to a positive or a negative value, so
\(\begin{gathered} |5t-1|=6\text{ becomes } \\ 5t-1=6,5t-1=-6 \\ 5t-1=6 \\ 5t=6+1 \\ 5t=7 \\ t=\frac{7}{5} \\ Or \\ 5t-1=-6 \\ 5t=-6+1 \\ 5t=-5 \\ t=-\frac{5}{5} \\ t=-1 \end{gathered}\)Hence t = -1 or t = 7/5Graphing we have
Related Questions
A 3-quart jug of water costs $3.48. What is the price per cup?
Answers
The calculated value of the price per cup is $1.16
How to calculate the price per cup?From the question, we have the following parameters that can be used in our computation:
A 3-quart jug of water costs $3.48
The price per cup is calculated as
Unit rate = Total cost/Size of the cup
Substitute the known values in the above equation, so, we have the following representation
Unit rate = 3.48/3
Evaluate
Unit rate = 1.16
Hence, the price per cup is $1.16
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Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answers
Answer: This is the answer. please give me the brainliest. Thanks
O
Which of the following could be used to calculate the area of the sector in the circle sho
O
m(Sin)
O
WE OD
m(Sin)2
O n(30in)2
O
r-5 in 30
m(30in)
O
above? (5 points)
Answers
The Circle Sector Area correct answer is: O n(30in)2
To calculate the area of the sector in the circle, you would typically use the formula:
Area = (θ/360) * π *\(r^2\)
where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
From the options you provided, the correct choice would be:
O n(30in)2
This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)
Therefore, the Circle Sector Area correct answer is: O n(30in)2
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Miki bought some erasers at the school store for $0.39. After
paying for the erasers, she had $0.13 left. Which amount is a
reasonable estimate of the money Miki had to start with?
Answers
Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy represents the volume of the region in the first octant that is inside the paraboloid y=x2+9z2 and between the planes y=5 and y=10.
Answers
Answer:
Hello your question is incomplete attached below is the complete question
Ix = 0 Ux = \(\sqrt{y-9z^2}\)
Iz = 0 Uz = \(\frac{\sqrt{y} }{3}\)
Iy = 5 Uy = 10
Step-by-step explanation:
Ix = 0 Ux = \(\sqrt{y-9z^2}\)
Iz = 0 Uz = \(\frac{\sqrt{y} }{3}\)
Iy = 5 Uy = 10
attached below is the detailed solution
Find the value of x, 6,4, 3x, 4x+1
Answers
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
The length of a rectangle is 11 ft more than double the width, and the area of the rectangle is 63 ft². Find the dimensions of the rectangle
Answers
The dimensions of the rectangle is 18 ft by 3.5 ft.
What is the dimension of a 2D objects?
Geometrically speaking, 2-dimensional shapes or objects are flat planar figures with two dimensions—length and width. Shapes that are two-dimensional, or 2-D, have only two faces and no thickness. Two-dimensional objects include a triangle, circle, rectangle, and square.
Assume that the width of the rectangle is w.
Given that, the length of a rectangle is 11 ft more than double the width.
The length of the rectangle is (2w + 11) ft.
The area of the rectangle is (2w + 11) w = 2w² + 11w.
Also given the area of the rectangle is 63 ft².
Therefore,
2w² + 11w = 63
2w² + 11w - 63 = 0
Now applying quadric formula:
w = (-11 ± √{(-11)² -(4 × 2 × (-63))})/(2 × 2)
w = -9, 3.5
Since the length of the rectangle can't be negative, thus w ≠ -9.
w = 3.5
The length of the rectangle is (2 × 3.5 + 11) = 18 ft.
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what is a factor of x^4 + 8^x 3 + 17 x^2 − 2x − 24 ?
Answers
Answer:
factors are (x-1),(x+2),(x+4),(x+3)
the center of a semisimple lie algebra {\displaystyle {\mathfrak {g}}}{\mathfrak {g}} is trivial proof. t/f
Answers
Answer:
False. The center of a semisimple Lie algebra is usually not trivial.
Step-by-step explanation:
The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.
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Trace triangle JKL and point P.
Draw the dilation of AJKL
using scale factor 3 and P
as the center of dilation,
Answers
The dilation of triangle JKL, with point P at the origin and scale factor of 3, is graphed on the image shown at the end of the answer.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The coordinates of the vertices of the original triangle JKL for this problem are attributed as follows:
J(1,1).K(1,5).L(4,1).The scale factor of the dilation is given as follows:
k = 3.
Meaning that each coordinate of each vertex of the triangle will be multiplied by 3, thus obtaining the coordinates of the vertices of the image of triangle JKL after the dilation, as follows:
J'(3,3).K'(3,15).L'(12,3).More can be learned about dilation at brainly.com/question/3457976
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What number is greater then -8 and less than 0?
Answers
Answer: -9 and up
Step-by-step explanation: An integer is any whole number. An integer can be zero, greater than zero or less than zero. The integers greater than zero are the natural numbers.
Answer:
-7 through -1
Step-by-step explanation:
its more than -8 and less than 0 i had this question in 7th yr
The Minnesota Multiphase Personality Inventory (MMPI) is one of the most frequently used personality tests in psychology. The current standardized version, the MMPI-2, is used by trained professionals to assist in identifying personality structure and psychopathology. A forensic psychologist is interested in whether she can identify potential serial killers by their NMPI profiles. She is particularly interested in the Overcontrolled-Hostility and Defensiveness scales of the MMPI. She interviews 12 people who have already been identified as serial killers. Their scores on the Overcontrolled-Hostility scale are recorded here: Which of the following is a Possible value for the range?
a. 54
b. 22
c. 66
d. 79
Their scores on the Defensiveness scale are given here: Which of the following is a possible value for the range?
a. 33
b. 70
c. 53
d. 62
Answers
Answer:
1) A. 54
2) D. 62
Step-by-step explanation:
Find the complete question in the attached diagram.
Range is the difference between the highest score and the lowest score.
Given the following scores on the Overcontrolled-Hostility scale.
69, 84, 56, 89, 47, 63, 86, 58, 74, 35, 71, 60
From the data:
Highest score = 89
Lowest score = 35
Range = Highest score - Lowest score
Range = 89-35
Range = 54
Hence the possible value of the range is 54
For the scores on the Defensiveness scale given as:
38, 70, 35, 42, 26, 87, 74, 61, 69, 46, 63, 25
Highest score = 87
Lowest score = 25
Range = Highest score - Lowest score
Range = 87-25
Range = 62
Hence the possible value of the range is 62
when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal
Answers
When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.
A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.
However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.
While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.
Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.
So, correct option is B.
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15% of 9 is what number and how to solve using proportions
Answers
Answer:
Step-by-step explanation
Okay so lets solve step by step/
15% can be written as a fraction: 15/100
The of in the equation means multiplying.
15/100= 3/20
3/20*9= 270/20
27/2 is answer
what is the volume, and how is it measured
Answers
Answer:
36 and 9/16 is the volume of the shipping box and 1/64 is the volume of the fish food box
Step-by-step explanation:
You multiply the length x width x height to get the volume of a rectangular or cubed object.
Sandy wants to make brownies. To make brownies, she needs 2/3 of a cup of flour
per batch of brownies. If Sandy has 6 cups of flour, then how many batches of brownies
can Sandy make?
Answers
Answer:
9
Step-by-step explanation:
6 divided by 2/3 = 9
plsss help
(−5, 0) and (−4, 0)
(−4.5, 0) and (−4, 0)
(0, −4) and (0, −5)
(0, −4.5) and (0, −4)
Answers
The points representing the x-intercepts of the function g(x) graphed in this problem are given as follows:
(−5, 0) and (−4, 0).
How to obtain the x-intercepts of a function?On the definition of a function, the x-intercept is given by the value/values of x for which the function assumes a value of zero.
On the graph of the function, these values are the values of x for which the graph crosses the x-axis, hence the intercepts are given as follows:
x = -5.x = -4.Then the points are given as follows:
(−5, 0) and (−4, 0).
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Here is Takeshi's work determining a third point on the graph of an exponential function, `h(x)`.
Explain why the work is incorrect.
Answers
Answer:
Step-by-step explanation:
Let h(x) = y
The exponentail function is of the form :
\(y = ab^x\)
We have :
\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)
Given points : (4, 9) and (5, 34.2)
We have:
\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)
Writing the equation with x, y and b:
\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)
a = 0.043
b = 3.8
When x = 6, y will be:
\(y = (0.043)(3.8^6)\\\\y = 128.47\)
This is not the y value in the question y = 59.4
Therefore (6, 59.4) does not lie on the graph h(x)
A passenger train has 812 people seated. Each train seats 70 people. So there are 11 train cars filled. How many people are in car not full
Answers
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
Answers
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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Please help. Any unnecessary answers will be reported.
You are in a competition that involves building card towers. The quickest person to reach 100 stories wins the competition. After reaching 5 stories of cards as shown in the picture below, you needed to use 40 cards.
How many cards will be necessary to build , in a similar way, a tower with 100 stories? Make sure you include work.
Answers
The 10,100 cards will be necessary to build a 100-story card tower.
To build a 100-story card tower, we can use the triangular number formula to calculate the total number of cards needed. The formula is:
Triangular number = (n * (n + 1)) / 2
In this case, n represents the number of stories in the tower (100). Plug in the value for n:
Triangular number = (100 * (100 + 1)) / 2
Triangular number = (100 * 101) / 2
Triangular number = 10,100 / 2
Triangular number = 5,050
Additionally, each story requires two cards, so we multiply the triangular number by 2 to get the total number of cards:
Total cards = 5,050 * 2
Total cards = 10,100
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Tristan bought an Orange that weighs 1/5 pound he cut the Orange into 8 slices how much does each Orange slice weigh
Answers
Answer:
1/40
Step-by-step explanation:
1/5 divided by 8= 1/5 times 1/8
1x1=1
5x8=40
the answer is 1/40
Answer:1/40
Step-by-step explanation:
I got it right
Pls help I’ll brainlest
Answers
Answer:
⋅
0
.
3
=
2
7
Step-by-step explanation:
Part D If the signal had four circular lights, each having the same diameter, what would the total area of all four lights be?
Answers
Answer:
The area of each light is 38.465 square inches. So, the total area of four lights is approximately 38.465 × 4 = 153.86 square inches.
Step-by-step explanation:
I took the practice thing and test :)
Answer:
The area of each light is 38.465 square inches. So, the total area of four lights is approximately 38.465 × 4 = 153.86 square inches.
Step-by-step explanation:
this is the exact answer on plato/edmentum
In a class of 80 Students, 30 offered mathematics, 20 offered Accountancy and 40 offered Economics. Those who offered both mathematics and accountancy are more than those who offered both Accountancy and Economics by 2. No student offered all the subjects and none offered both mathematics and Economics. Find the number of students who offered Accountancy only?
Answers
The number of students who offered Accountancy only is 10.
Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.
From the given information:
M = 30 (Number of students who offered Mathematics)
A = 20 (Number of students who offered Accountancy)
E = 40 (Number of students who offered Economics)
We are also given the following conditions:
M ∩ A > A ∩ E by 2
M ∩ E = 0
We know that the total number of students is 80, so:
M + A + E = 80
Now, let's solve for the number of students who offered Accountancy only.
We can start by substituting the given values into the equation:
30 + 20 + 40 = 80
Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).
Since none offered both Mathematics and Economics, we can subtract M from A:
A - M = A ∩ E
20 - 30 = A ∩ E
-10 = A ∩ E
Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.
Now, let's use the first condition: M ∩ A > A ∩ E by 2.
Substituting the values, we have:
M ∩ A - A ∩ E = 2
M ∩ A - 0 = 2
M ∩ A = 2
Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:
30 + A + 40 = 80
A + 70 = 80
A = 10
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Your class is collecting bottled water for a service project. The goal is to collect 300
bottles of water. On the first day, Max brings in 3 packs of water with 6 bottles in each
pack. Sarah brings 6 packs with 6 bottles in each pack. How many bottles of water do
they still need to be brought?
Answers
Step-by-step explanation:
Goal: 300
Max brought: 3 × 6 = 18 bottles in total.Sarah brought: 6 × 6 = 3636 + 18 = 54300 - 54 = 246They still need 246 bottles.
find the lettered angles in the figure below (O is the centre of each circle)
Answers
Answer:
t and u are supplementary as opposite angles of a cyclic quadrilateral.
t = 180 - (81 + 53) = 46
u = 180 - t = 180 - 46 = 134
v and w are equal as opposite angles to equal sides.
v = w = 1/2(180 - u) = 1/2(180 - 134) = 23
Step-by-step explanation:
One half of the students in the U.S. walk to school, one fourth of the remainder ride their bikes to school. What fraction of the student population travels to school by neither method?
Answers
Uhm, I think 3/8, oh and please give me a brainly... I need it so much, but its fine if you don't have time to do it.
The required fraction of the students who travel to school neither by walking nor by bike is 3/8.
1/2 of students walk to school, and 1/4 of the remainder ride their bikes to school.
Fraction for a population that travels to school by neither method.
Fraction is defined as the number of compositions that constitute the whole.
Let the population of the school is x.
1/2 students walk to the school =1/2x
remainder = x-1/2x
= 1/2x
1/4 of the remainder bikes to school = 1/4 * 1/2x
Total population which goes to school by walk and bike = 1/2x+1/8x
= 5x/8
Now the population that has neither of the methods = 1x-5x/8
= 3x/8
Thus, the required fraction of the students who travel to school neither by walking nor by bike is 3/8.
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Find the equation of the line that satisfies the conditions given in each of the following: 1. Through (3, 2) and (5, 7) 2. Through (-3, 4), m = 2 3. m = -3, b = 5 4. x-intercept = 3, y-intercept
Answers
The equation of each line that satisfies the given conditions are:
1. y - 2 = 5/2(x - 3)
2. y - 4 = m(x + 3)
3. y = -3x + 5
What is the Equation of a Line?If we know the slope (m) and the y-intercept (b) of a line, we can write the equation of the line as y = mx + b in slope-intercept form.If we know the point (a, b) and the slope (m) of the line, we can write the equation of the line in point-slope form as y - b = m(x - a).1. Given the points, (3, 2) and (5, 7), find the slope (m):
Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)
m = 5/2
Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):
y - 2 = 5/2(x - 3)
2. Given:
A point = (-3, 4)
Slope (m) = 2
Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):
y - 4 = m(x + 3) [equation of the line]
3. Given:
Slope (m) = -3
Y-intercept (b) = 5
Substitute m = -3 and b = 5 into the equation y = mx + b:
y = -3x + 5
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Factor 72x−18xy . If the expression cannot be factored, write cannot be factored.
Answers
Answer:
The factors of the expression are 18x and 4-y
Given the expression 72x - 18xy
Find the factor of each term:
72x = 18 * 4 * x
18xy = 18 * x * y
Since 18x is common to both terms, hence the factored form is expressed as:
72x - 18xy = 18x (4 - y)
Step-by-step explanation: Hope this helps!! Mark me brainliest!!
Answer:
18x(4−y)
Step-by-step explanation:
72x−18xy
Factor out 18.
18(4x−xy)
Consider 4x−xy. Factor out x.
x(4−y)
Rewrite the complete factored expression.
18x(−y+4)
Evaluate
18x(4−y)