Answer:
x=1, y=-2
Step-by-step explanation:
\( - 4x + 2 = 6x - 8\)
\(2 = 10x - 8\)
\(10 = 10x\)
\(x = 1\)
\( - 4(1) + 2 = - 2\)
and
\(6(1) - 8 = - 2\)
so
\(y = - 2\)
how to solve (3^0x8^2)^-2
PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.
The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Step 1: Simplify the exponent expressions within the parentheses:
(3^0 * 8^2) = (1 * 64) = 64
Step 2: Rewrite the expression with the simplified value:
(64)^-2
Step 3: Apply the exponent rule for a negative exponent:
(64)^-2 = 1 / (64)^2
Step 4: Evaluate the expression within the parentheses:
(64)^2 = 64 * 64 = 4096
Step 5: Rewrite the expression with the simplified value:
1 / 4096
Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.
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Let A be an n × n matrix. Write statements from the Invertible Matrix
Theorem that are each equivalent to the statement "A is invertible". Use
the following concepts, one in each statement:
(1). Nul A (2).|A| (3). basis (4). linearly independent (5). RREF
**TRUE OR FALSE**
1.) The set of columns of a 3 × 5 matrix is linearly dependent.
2.) A linear transformation T : Rn → Rm is completely determined by its effect on the columns of the n × n identity matrix.
3.) If each row of matrix A has a pivot, then the set of rows of matrix A is linearly dependent.
4.) Let T : Rn → Rm be a linear transformation, with A its standard matrix. T is one-to-one if and only if A has a pivot in each row.
5.) The set of columns of a 5 × 3 matrix is linearly dependent.
6.) If A is a 3 × 2 matrix, then the transformation x → Ax cannot be one-to-one.
According to the question 1.) False - 3 × 5 matrix columns can be linearly independent. 2.) True , 3.) True , 4.) True , 5.) True , 6.) True - 3 × 2 matrix transformation not one-to-one.
1.) True. If the set of columns of a 3 × 5 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.
2.) False. The effect of a linear transformation on the columns of the n × n identity matrix only determines the image of the standard basis vectors. It does not completely determine the entire transformation.
3.) False. If each row of matrix A has a pivot, it means that the rows of A are linearly independent, not linearly dependent.
4.) True. If A has a pivot in each row, it means that the rows of A are linearly independent, and the linear transformation T : Rn → Rm represented by A is one-to-one.
5.) True. Similar to statement 1, if the set of columns of a 5 × 3 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.
6.) True. If A is a 3 × 2 matrix, it means that the transformation x → Ax maps from R2 to R3. Since the dimensions of the domain and codomain are different, the transformation cannot be one-to-one.
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simplify the quotient. Write the answer in sn.
Answer: 2.25 x 10 -7 -7 is the exponent
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
–y + 6y − 16y + 15y = –16
Answer:
y=-4
I think it helps you
Step-by-step explanation:
\(\tt{-y+6y-16y+15y=-16 }\)
\(\tt{ 21y-17y=-16 }\)
\(\tt{4y=-16 }\)
\(\tt{ y=\dfrac{-16}{4} }\)
\(\bold{ y=-4 }\)
Giving brainliest to the person who answers correctly.
What type of angles are these?
Answer: I believe those would be opposite angles (aka vertically opposite angles).
HELP PLEASE
Acellus
Solve this system of equations by
using the elimination method.
Answer:
(2, 2)Step-by-step explanation:
Add up the equations, it will eliminate x as variable:
3x + 6y - 3x + 4y = 18 + 210y = 20y = 2Find the value of x:
3x + 6*2 = 183x + 12 = 183x = 6x = 2Given : -
3x + 6y = 18 ... (1)-3x + 4y = 2 ... (2)To find : -
Solution x and y?Solution : -
3x + 6y = 18
-3x + 4y = 2 +
10y = 20
y = 20/10 = 2\( \: \)
3x + 6y = 18
3x + 6(2) = 18
3x + 12 = 18
3x = 18 - 12
3x = 6
x = 6/3 = 2\( \: \)
(2 , 2)A small ice cream shop sold 120 ice cream cones last weekend. It sold 42 vanilla cones, 53 chocolate cones, and 25 strawberry cones. What angle measure should be used for chocolate cones in a circle graph of the data?
Answer:
acute i think??
Step-by-step explanation:
Answer:43.3
Step-by-step explanation:
Tran Lee plans to set aside $2,900 a year for the next five years, earning 5 percent. What would be the future value of this savings amount? Numeric Response
The future value of Tran Lee's savings after five years would be approximately $14,995.49.
To calculate the future value of Tran Lee's savings, we can use the formula for the future value of an ordinary annuity:
Future Value = Payment * [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate
Given:
Payment (PMT) = $2,900 per year
Interest Rate (r) = 5% = 0.05 (decimal form)
Number of Periods (n) = 5 years
Substitute these values into the formula, we get:
Future Value = $2,900 * [(1 + 0.05)^5 - 1] / 0.05
Calculating this expression, we find:
Future Value ≈ $14,995.49
Therefore, the future value of Tran Lee's savings after five years would be approximately $14,995.49.
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The future value of Tran Lee's savings after five years would be approximately $14,995.49.
To calculate the future value of Tran Lee's savings, we can use the formula for the future value of an ordinary annuity:
Future Value = Payment * [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate
Given:
Payment (PMT) = $2,900 per year
Interest Rate (r) = 5% = 0.05 (decimal form)
Number of Periods (n) = 5 years
Substitute these values into the formula, we get:
Future Value = $2,900 * [(1 + 0.05)^5 - 1] / 0.05
Calculating this expression, we find:
Future Value ≈ $14,995.49
Therefore, the future value of Tran Lee's savings after five years would be approximately $14,995.49.
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will give brainlisest plzzzzzzz What is the purpose of a signal phrase? To point out an internal citation to the reader To call attention to plagiarism in informational text To show the need for a reference within an article To indicate the end of the text and the start of citations
Answer:
To point out an internal citation to the reader
Step-by-step explanation:
A signal phrase is a phrase, clause, or even sentence which leads into a quotation or statistic. These generally include the speaker/author's name and some justification for using him or her as an expert in this context; it may also help establish the context for the quotation...
Consider the polynomial function
f(x)=x^4-2x^3+11x^2-5x+6
Which statement correctly describes the number of possible positive zeros and the number of possible negative zeros?
The correct statement for the number of negative zeros and of positive zeros is given as follows:
The number of positive zeros is of 4, while the number of negative roots is of zero.
How to obtain the number of positive and negative roots?The number of possible positive and negative roots is obtained using Descartes' Rule.
The Descartes' Rule states that the number of positive roots is at most the number of sign changes in the sequence of polynomial's coefficients (disconsidering the zero coefficients), while the difference between these two numbers is always even.
The number of changes for this problem is given as follows:
4 changes.
The changes are given as follows:
x^4 to x^3.x^3 to x^2.x^2 to x.x to constant.As there are 4 changes, the number of positive roots is of 4, while the number of negative roots is of zero, as the polynomial is of the fourth degree.
Missing InformationThe answer was given in general terms, as the statements are not presented.
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Analyzing the Structure of an Equation to Determine the Number of Solutions
Which statements are true? Check all that apply.
Answer:
only the first answer option is correct.
Step-by-step explanation:
|-x - 4| = 8 has 2 solutions :
x = 4, x = -12 as |-8| = |8| = 8
this is correct.
3.4×|0.5x - 42.1| = -20.6 has no solution.
the left side is always a positive number for sure (product of a positive number and an absolute value, which is always a positive number). that can never be equal to a negative number.
|½x - 3/4| = 0 has exactly 1 solution.
x = 6/4
|2x - 10| = -20 has no solutions.
as in the second answer option, an absolute value is always a positive number and cannot be equal to a negative number.
|0.5x - 0.75| + 4.6 = 0.25 has no solutions.
as this is the same as
|0.5x - 0.75| = -4.35
as before, an absolute value is always positive and cannot be equal to a negative number.
|⅛x - 1| = 5 has exactly 2 solutions.
x = 48, x = -32 as |-5| = |5| = 5
PLEASE HELP (I WILL MARK YOU BRAINLIEST IF YOUR THE LUCKY ONE)
Answer:
27 is your answer hope it helps
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7
The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.
What is a quadratic equation?Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.
In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.
So, the roots of 0 = 2x² + 12x-14 are:
2x² + 12x-14 = 0
2x² + 14x - 2x -14
2x(x + 7) - 2(x + 7)
(2x - 2) (x + 7)
Now, use the zero product property as follows:
2x - 2 = 0
2x = 2
x = 2/2
x = 1
And
x + 7 = 0
x = -7
Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.
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Correct question:
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
a. 1,6, -7
b. 2,12,-14
c. -7,1
d. -1,7
Given right triangle ABC, what is the value of tan (A)
O 5/13
O 12/13
O 12/5
O 13/12
Answer:
12/5
Step-by-step explanation:
Recall that trig function tan = opposite / adjacent
Find tan A
Opposite side of angle A = 24
Adjacent of A = 10
Tan (A) = 24/10
24/10 can be simplified to 12/5
Answer:
\(\frac{12}{5}\)
Step-by-step explanation:
Tan is equal to \(\frac{opposite}{adjacent}\). The side opposite to angle A is BC while the side adjacent to it is AC. This means tan(A) is \(\frac{BC}{AC}\). It is given that BC is 24 and AC is 10, so we can substitute those values in and simplify:
tan(A) = \(\frac{24}{10} = \frac{12}{5}\)
Help, please! I'm rush rn and I want to make sure that my answers are correct so please answer thisss I hope there is an user that understands my situation rn
1. 3x+6y-11
2. 3 times x plus 2, and 3 times x subtracted by 2
3. 13x+2xy+6y-2
Answer:
1.
a mathematical phrases that represents the length of the south side of the field is 3x-2+2y-9+4y=3x+2y-11
2.
the english phrase translation of the side of the banana field is 3x+2 and 3x-2.
3.
perimeter of squash field is sum of all sides
=3x-2+2y-9+4y+x+1+xy+1+2x+3x+xy+5+x+3x+2=13x+6y+2xy-2
one reason to find perimeter is to identify the length of wire to make a border to safeguard from animals.
Step-by-step explanation:
Which sides are congruent in the diagram below?
Answer: The first option (A)
Step-by-step explanation:
Answer:
It is A.
Step-by-step explanation:
AC=DF, AB=DE
A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x + y = 9, where x is the number of hardcover books and y is the number of paperback books. The equation 8x + 5y = 57 represents the total cost. How many of each type of book did you buy?
f(x) = 2x2 – 3x+1
A. It is not a function.
B. It is a one to one function
Larry played the drums for 3 and 1/8 hour each day while five day band camp also played the marimba 1 and 3/5
hours on two of those days. How much time did Larry spend playing the drums and marimba during band camp?
hours
(Enter all mixed numbers as x y/z.)
Answer:
20 23/24 hours
Step-by-step explanation:
5*(3 1/8)+2*(1 3/5)
5*(25/8) + 2*(8/3)
125/8 + 16/3
375/24 + 128/24
=503/24
=20 23/24
solve for x
please help
will give brainliest answer
Answer:
x = 3
Step-by-step explanation:
Isaac walks for 7 miles to the store from his house. He buys candy and a sandwich to eat for lunch. He then
walks home when he is done eating. Explain, in your own words, how we can figure out how many miles he walked in total?
Answer:
14 miles
Step-by-step explanation:
Isaac is walking 14 miles because if it is seven miles to the store, he has to walk seven miles back. Seven plus seven is fourteen.
A toy rocket is shot vertically into the air from a launching pad 6 feel above the ground with an initial velocity of 40 feet per second. The height h, in feet, of the rocket above the ground as t seconds after launch is given by the function h(t)=-16t^2+40t+6. How long will it take the rocket to reach its maximum height? What is the maximum height? CAN ANYONE HELP ME ASAP!!!! Thank you in advance
Check the picture below.
so let's simply check about what's its vertex then
\(\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+40}t\stackrel{\stackrel{c}{\downarrow }}{+6} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)\)
\(\left(-\cfrac{ 40}{2(-16)}~~~~ ,~~~~ 6-\cfrac{ (40)^2}{4(-16)}\right) \implies \left( - \cfrac{ 40 }{ -32 }~~,~~6 - \cfrac{ 1600 }{ -64 } \right) \\\\\\ \left( \cfrac{ -5 }{ -4 } ~~~~ ,~~~~ 6 +25 \right)\implies {\Large \begin{array}{llll} \stackrel{ ~~ seconds~\hfill feet ~~ }{\left( ~~ 1\frac{1}{4}~~ ~~ , ~~ ~~31 ~~ \right)} \end{array}}\)
The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
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Pls help!!!
A home has a rectangular kitchen. If listed as ordered pairs, the corners of the kitchen are (7, 6), (−4, 6), (7, −9), and (−4, −9). What is the area of the kitchen in square feet?
Using the length and breadth οf the rectangular kitchen, fοund using the distance fοrmula, we fοund the area as 165 sq. feet.
What is a rectangle?The internal angles οf a rectangle, which has fοur sides, are all exactly 90 degrees. At each cοrner οr vertex, the twο sides cοme tοgether at a straight angle.
Here, Pοints (7,6) and (7.-9) lie οn the same hοrizοntal line as the x values are the same
Sο the distance between these pοints can be taken as the length οf the rectangle.
The distance can be fοund using the distance fοrmula.
Length l = \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)
= \(\sqrt{(7-7)^2 + (6--9)^2} = \sqrt{15^2} = 15\)
Nοw the pοints (7,6) and (-4,6) lie οn the same vertical line as the y values are the same.
Sο the distance between these pοints can be taken as the breadth οf the rectangle.
Breadth b = \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\) = \(\sqrt{(7--4)^2 + (6-6)^2} = \sqrt{11^2} = 11\)
Since it is a rectangle, the οppοsite sides will have the same measurements.
Nοw the area = l * b = 15 * 11 = 165 sq. feet.
Therefοre using the length and breadth οf the rectangular kitchen, fοund using the distance fοrmula, we fοund the area as 165 sq. feet.
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Supplier X offers a mechanic a part at 35% off the retail price of $68.20. Supplier Y offers him the same part at 20% over the wholesale cost of $37.50. Which is the better deal, and by how much?A. Supplier Y offers the better deal by $_____B. Supplier X offers the better deal by $_____
Given:
There are given two suppliers X and Y.
Where,
X offers a mechanic a part of 35% off the retail price of $68.20 and Y offers at 20% over the wholesale cost of $37.50.
Explanation:
To find the best offers, we need to find their percentages one by one.
So,
First, find the offer amount from supplier X.
So,
\(X=68.20-68.20\times35\%\)Then,
\(\begin{gathered} X=68.20\times35\operatorname{\%} \\ X=23.87 \\ X=23.87 \end{gathered}\)Now,
For the Y suppliers:
\(Y=37.50-37.50\times20\%\)Then,
\(\begin{gathered} Y=37.50\times20\operatorname{\%} \\ Y=7.5 \\ Y=7.5 \end{gathered}\)So,
The best deal for supplier Y is because they offer $23.87.
Final answer:
Hence, the correct option is B with $23.87
guys help me plz i don't know this please help me
Answer: The least value goes with the greatest value
Step-by-step explanation:
Multiply
а) (x + 2) (х+3)
Answer:
x^2+5x+6
Step-by-step explanation:
\(\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6\)
The art club had an election to select a president. 25% of the 80 members of the club voted in the election. How many members voted?
Answer:
20, the answer is 20 members
Answer:
3) On a test of 25 questions, a student 4) Alisa earned $30 raking leaves. She ... 80% horror. 6Sn-sdo 1800 ... How many tickets were a) What percent of her weight did sold? ... b) Atlantic Auditorium has 850 seats. b) At the next visit, we were happy to see ... members of the art club voted in the more students joined. election.
Step-by-step explanation:
\(\sqrt{99} + \sqrt{44}\) in the form A\(\sqrt{B}\)
Answer:
answer 5sqrt(11)
Step-by-step explanation:
99 = 3 * 3 * 11
44 = 2 * 2 * 11
For every pair of equal prime factors under a square root sign, one can be take out and the other discarded.
sqrt(99) + sqrt(44)
sqrt(3 * 3 * 11) + sqrt(2 * 2 * 11)
Take a 3 out of sqrt (99) and a 2 out of square root(44)
3sqrt(11) + 2sqrt(11)
5 sqrt(11)
the table below shows the linear relationship between the nuber of weeks since birth and the weight of samuels rabbit. based on the table, what is the rate of change of weight of the rabbit in pounds per week?
The rate of change of weight of the rabbit in pounds per week is 0.5 pounds per week.
To calculate the rate of change of weight of Samuel's rabbit in pounds per week, we need to look at how much the weight of the rabbit changes as the number of weeks since birth increases by one. This is also known as the slope of the linear relationship between the number of weeks and the weight of the rabbit.
Looking at the table below, we can see that when the rabbit is born (week 0), it weighs 0.5 pounds. As the number of weeks since birth increases by one, the weight of the rabbit increases by 0.5 pounds. This pattern continues for each subsequent week, with the weight of the rabbit increasing by 0.5 pounds each time.
| Number of Weeks Since Birth | Weight of Rabbit (in pounds) |
|-----------------------------|------------------------------|
| 0 | 0.5 |
| 1 | 1.0 |
| 2 | 1.5 |
| 3 | 2.0 |
| 4 | 2.5 |
| 5 | 3.0 |
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