B or D are completely correct.
Personally, I'd do D, but I know people would would rather do B. Both help you get to your solution.
the answer is b
after that you need to
- simplify
- multiply by -1
- simplfy again
-divide both sides by two
- simplfy
- add 4 to both sides
- divide both sides by 5
and you should get
x>2! followthe steps in order
dm me or smth if this is not the answer that you wanted!
ly,
dannie :)
\(64y + 6x = \)
\(\longrightarrow{\blue{ 2 \: ( \: 32 \: y + 3 \: x \: )}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\(64 \: y + 6 \: x\)
\( = 2 \: ( \: 32 \: y + 3 \: x \: )\)
\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)
Answer:
2 ( 32y + 3 x)
Step-by-step explanation:
64 y + 6x
factor out 2 from the equation
2 ( 32y + 3 x)
A bag contains yellow marbles and red marbles, 77 in total. The number of yellow marbles is 5 more than 3 times the number of red marbles. How many yellow marbles are there?
Answer:
41
Step-by-step explanation:
yellow marbles=5+ 3r(r is the number of red marbles)
red marbles=3r
3r+3r+5=77
6r=77-5
6r=72
r=72/6=12
yellow marbles = 5 + 3r
5+ 12 x 3
5+ 36
=41
Use the graph to evaluate the function below for specific inputs and outputs.
Answer:
y = G(x) = 6, when x = -4
y = G(x) = -2, when x = 3
Step-by-step explanation:
From the attached graph tracing the first point to the graph and then to x axis.
y = G(x) = 6
as shown on the attachment(by the thick line)
y = G(x) = 6, when x = -4
From the attached graph tracing the second point to the graph and then to x axis.
y = G(x) = -2
as shown on the attachment(by the thin line)
y = G(x) = -2, when x = 3
Correct me if I’m wrong please
Answer: your answers are correct
x = 10
PT = 34
Step-by-step explanation:
PT = 4x - 6 and TQ = 3x + 4
if PT = TQ
4x - 6 = 3x + 4
4x - 3x = 4 + 6
x = 10
PT = 4x - 6
PT = 4 (10) - 6
=40 - 6
PT = 34
The value of PT = 34
Kimberly has a credit card with a 19% APR and a balance of $4,350. With her current monthly payment, Kimberly will be able to pay off the credit card in a mere 16 months. But when Kimberly's car breaks down, she is forced to charge an additional $1,600 to her credit card. How much will Kimberly's minimum monthly payment increase if she still wants to pay off her credit card in 16 months? a. $100. 00 b. $113. 99 c. $309. 90 d. $423. 89.
Answer:
19%=0.19+$4,350/16=$272+$1,600=$1872+0.19=1872.19/12=$156+$4,50=
$375.50
Answer: C. $309.
Step-by-step explanation:
Answer:
✅ b. $113.99i took the test⬇️
I really also need help on this question lol
Answer:
13/15
For this question, you could type it into the calculator.
Hence, this question is too trivial, and your question might get deleted as a result. Since this is your first question, I will help you out but subsequently, do use a calculator to solve this kind of questions.
Step-by-step explanation:
4 1/3 can be converted to 13/3 as an improper fraction.
Next, evaluate 13/3 divided by 5
(13/3) / 5 = (13/3) x (1/5)
= 13/15
Answer:
Step-by-step explanation:
There are a number of ways to do this. I am going to take a little longer, but I am hoping that it will make sense to you.
4\(\frac{1}{3}\) ÷ 5
Another name for 1 is \(\frac{3}{3}\) I am going to rewrite 4\(\frac{1}{3}\) knowing this.
\(\frac{3}{3}\) + \(\frac{3}{3}\) + \(\frac{3}{3}\) + \(\frac{3}{3}\) + \(\frac{1}{3}\) = \(\frac{13}{3}\)
Another way to write 5 is \(\frac{5}{1}\).
I want both of my fraction to have the same denominator so I will multiple
\(\frac{5}{1}\) x \(\frac{3}{3}\) = \(\frac{15}{3}\) I am now ready to divide by fractions
\(\frac{13}{3}\) ÷ \(\frac{15}{3}\) Divide across
\(\frac{\frac{13}{15} }{\frac{3}{3} }\) = \(\frac{\frac{13}{15} }{1}\) = \(\frac{13}{15}\)
93,487,991 to the nearest hundred thousand
Answer:
93,500,000
Step-by-step explanation:
Rounding rule:
1) If the digit directly next to the one you are finding is 5 or greater, round up.
2) If the digit is 4 or less, round down.
Note the hundred thousands place value (underlined and bolded):
93,487,991
Look at the digit value directly next to the place value you are looking for. The value of the digit is 8. Because 8 is greater then 5, round up:
93,487,991 rounded to the nearest hundred thousand is 93,500,000.
~
What are the measures of angles b and d? ∠b = 55°; ∠d = 55° ∠b = 55°; ∠d = 125° ∠b = 97°; ∠d = 97° ∠b = 83°; ∠d = 97°
In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).
We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.
angle B = angle D
2n + 15 = 3n - 15
n = 30
The value of n is 30.
Now we can find the measures of angles B and D:
angle B = 2n + 15 = 2(30) + 15 = 75 degrees
angle D = 3n - 15 = 3(30) - 15 = 75 degrees
Therefore, the answer is (a) ∠b = 55°; ∠d = 55
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____The given question is incomplete, the complete question is given below:
In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°
Answer:
The Answer is A
Step-by-step explanation:
I just took the test! 2023Edg
what is the cube root of 8
Answer:
its 2
Step-by-step explanation:
because 2*2*2 is 8
Why are isotopes with long half-lives not useful for dating fossils or rocks that span the last glacial-interglacial cycle, approximately between 12,000 and 125,000 years old
Isotopes with long half-lives are not useful for dating fossils or rocks that span the last glacial-interglacial cycle (approximately between 12,000 and 125,000 years old) because their decay rates are too slow to provide accurate age determinations within that time range.
Isotopes with long half-lives, such as uranium-238 (with a half-life of about 4.5 billion years) and potassium-40 (with a half-life of about 1.3 billion years), are commonly used for dating much older geological events. These isotopes undergo radioactive decay at a slow rate, which makes them suitable for dating processes spanning millions or billions of years.
However, when it comes to dating fossils or rocks that fall within the last glacial-interglacial cycle (12,000 to 125,000 years old), the long half-lives of these isotopes pose a problem. The time scale of this cycle is relatively short compared to the decay rates of isotopes with long half-lives. As a result, the remaining isotopic ratios or concentrations after such a short time period may not provide precise age estimates, making them less reliable for dating within this specific range.
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This is a 2 part question! Use this information for the open-ended question that follows.
Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an average speed of 9.6 miles per hour (mph).
Valery increases her speed by 4% the next time she rides her bike. Her goal is to ride faster than Manuel.
Is the 4% increase enough to ride faster than Manuel? yes or no.
As part of your explanation, identify Valery's new speed. Then explain why or why not she met her goal.
Answer:
ok for the first part of the question This is a 2 part question! Use this information for the open-ended question that follows.
Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an average speed of 9.6 miles per hour (mph).
a) EXACTLY how many hours does it take Valery to ride her bike 40 miles?
ANSWER (A) 4.17
b) Use this graph below to identify what Manuels average speed is:
ANSWER (B) 10 mph
I don't know the open ended question
A shoe box has a length of 14.5 inches, a width of 7 inches, and a height of 5 inches. What is the surface area, in square inches, of the shoe box?
Answer:418 and heres why
Step-by-step explanation:
2(14.5 times 7 = 101.5 times 2 = 203
next
2(14.5 times 5 =72.5 times 2=145
then last
2(7 times 5= 35 times 2=70 add them all together then get 418
hope this help (:
The surface area of the shoe box is,
⇒ SA = 418 square inches
We have to given that,
A shoe box has a length of 14.5 inches, a width of 7 inches, and a height of 5 inches.
Since, We know that,
Surface area of cuboid is,
SA = 2 (lw + lh + hw)
Here, we have;
Length = 14,5
Width = 7 inches
Height = 5 inches
Hence, We get;
The surface area of the shoe box is,
SA = 2 (14.5 x 7 + 14.5 x 5 + 5 x 7)
SA = 2 (101.5 + 72.5 + 35)
SA = 2 (209)
SA = 418 square inches
Thus, The surface area of the shoe box is,
⇒ SA = 418 square inches
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You need to strengthen a 22% alchohol solution with a pure alcohol solution to obtain a 40% solution. How much pure alcohol should you add to 100 milliliters of the 22% solution?
To obtain a 40% alcohol solution from a 22% solution, you need to add 18% more alcohol.
How to find this?
100 ml of 22% alcohol solution contains 22 ml of pure alcohol and 78 ml of other ingredients.
Therefore, to obtain a 40% solution, you need 40 ml of pure alcohol in every 100 ml of solution.
So, 18 ml of pure alcohol should be added to 100 ml of 22% solution to obtain 40% solution.
Another way to calculate this is:
You can calculate the amount of pure alcohol you need to add by multiplying the initial volume of the solution (100ml) by the percentage increase in alcohol content (18%) .
100ml * 18% = 18ml
So you would need to add 18ml of pure alcohol to 100ml of 22% alcohol solution to obtain a 40% alcohol solution.
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HELP! 30 POINTS!
Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (
b) Use the possibility diagram to calculate the probability that the product of the two numbers is
I) A prime number
ii) Not a perfect square
iii) A multiple of 5
iv) Less than or equal to 21
v) Divisible by 4 or 6
Answer: i) 12.5% ii) 87.5% iii) 23.4%
Step-by-step explanation:
There are two die, each with 8 sides so the total number of outcomes is 8²
i) Product is a prime number --> 2, 3, 5, 7
Since it is a prime we only have the option of one die being a 1 and the other being the prime number.
So possible successful outcomes is: (1, 2), (1, 3), (1, 5), (1, 7), (7, 1), (5, 1), (3, 1), and (2, 1) = 8 options.
\(\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{8}{8^2}=\dfrac{1}{8}=\large\boxed{12.5\%}\)
ii) Not a perfect square. Let's find the probability that it IS a perfect square and subtract that value from the total (64).
Product IS a perfect square --> 1, 4, 9, 16, 25, 36, 49, 64
Possible successful outcomes of a perfect square: (1, 1) (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8) = 8 options.
Product is NOT a perfect square = 64 - 8 = 56 options
\(\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{56}{8^2}=\dfrac{7}{8}=\large\boxed{87.5\%}\)
iii) Product is a multiple of 5 --> 5, 10, 15, 20, ,25, 30, 35, 40,
Possible successful outcomes of a multiple of 5: (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5), (7,5), (8, 5), (5, 8), (5, 7), (5, 6), (5, 4), (5, 3), (5, 2), (5, 1) = 15 options
\(\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{15}{8^2}=\dfrac{15}{64}=\large\boxed{23.4\%}\)
You are limited to 3 questions on Brainly so hopefully you can follow what I did to answer the last two questions (less than or equal to 21) and (divisible by 4 or 6). If not, please post this question again and state "Need iv and v only".
A bag contains 5 green marbles and 8 blue marbles. A dice is rolled, then a marble is chosen at random from the bag .
The probability is the ratio of the favorable event to the total number of events. The probability of a blue ball is 61.54 %.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
A bag contains 5 green marbles and 8 blue marbles.
Total number of balls will be
→ Total balls = 8 + 5 = 13
A dice is rolled, then a blue marble is chosen at random from the bag. Then the probability will be
→ Favorable event = 8
\(\rm P(B) = \dfrac{Favorable \ event}{Total \ event}\\\\P(B) = \dfrac{8}{13}\\\\P(B) = 0.6154 \ or \ 61.54 \ \%\)
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Is Noah's work correct? Explain. Yes, Noah's calculations are correct. No, Noah did not simplify correctly. No, Noah used the diameter instead of the radius in the calculations. No, Noah did not use the correct formula for volume of a sphere.
Answer:
No, Noah used the diameter instead of the radius in the calculations.
V = 91.13π
Step-by-step explanation:
Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown below.
V = πr3
V = π(9)3
V = π(729)
V = 972π cubic units
Is Noah’s work correct
Volume of a sphere, V = πr³
radius, r = diameter / 2
Diameter = 9 units
r = 9 / 2
= 4.5 units
Volume of a sphere, V = πr³
= π × 4.5³
= π × 91.125
= 91.125π
Approximately 91.13π
V = 91.13π
No, Noah used the diameter instead of the radius in the calculations.
Answer:
no, he used radius instead of diameter
Step-by-step explanation:
calculator to approximate 125.9.
Round your answer to the nearest hundredth.
A family reduced its normal monthly gas bill of 70$ by 9$ . What percent decrease does this represent ? Round to the nearest tenth of a percent
Answer:
12.9%
Step-by-step explanation:
\(\frac{9}{70}*100\%\\\approx 12.9 \%\)
help.. Me plssssssss
1)
2, 5, 8, 11, 14
2)
0, 2, 8, 18, 32
3)
-6, -1, 2, 3, 10, 29
substitute the given values for x and do as the function says.
Let A be an n×n symmetric matrix. The trace of A (or any square matrix) is the sum its diagonal entries and is denoted tr(A) The trace agrees with matrix multiplication in the following way: tr(AB)=tr(BA). (You don't need to verify this fact). PART A) Show that det(A) is the product of the eigenvalues of A. (Use the fact A is orthogonally diagonalizable.) PART B) Show that tr(A) is the sum of the eigenvalues of A. (Use the fact A is orthogonally diagonalizable.)
A. The determinant of A is indeed the product of the eigenvalues of A.
B. The trace of A is equal to the sum of the eigenvalues of A.
PART A:
Let A be an n×n symmetric matrix that is orthogonally diagonalizable. This means that A can be written as A = PDP^T, where P is an orthogonal matrix and D is a diagonal matrix with the eigenvalues of A on its diagonal.
Since D is a diagonal matrix, the determinant of D is the product of its diagonal entries, which are the eigenvalues of A. So, we have det(D) = λ₁λ₂...λₙ.
Now, let's consider the determinant of A:
det(A) = det(PDP^T)
Using the fact that the determinant of a product is the product of the determinants, we can rewrite this as:
det(A) = det(P)det(D)det(P^T)
Since P is an orthogonal matrix, its determinant is ±1, so we have det(P) = ±1. Also, det(P^T) = det(P), so we can rewrite the above equation as:
det(A) = (±1)det(D)(±1)
The ± signs cancel out, and we are left with:
det(A) = det(D) = λ₁λ₂...λₙ
Therefore, the determinant of A is indeed the product of the eigenvalues of A.
PART B:
Similarly, let A be an n×n symmetric matrix that is orthogonally diagonalizable as A = PDP^T, where P is an orthogonal matrix and D is a diagonal matrix with the eigenvalues of A on its diagonal.
The trace of A is defined as the sum of its diagonal entries:
tr(A) = a₁₁ + a₂₂ + ... + aₙₙ
Using the diagonal representation of A, we can write:
tr(A) = (PDP^T)₁₁ + (PDP^T)₂₂ + ... + (PDP^T)ₙₙ
Since P is orthogonal, P^T = P^(-1), so we can rewrite this as:
tr(A) = (PDP^(-1))₁₁ + (PDP^(-1))₂₂ + ... + (PDP^(-1))ₙₙ
Using the properties of matrix multiplication, we can further simplify:
tr(A) = (PDP^(-1))₁₁ + (PDP^(-1))₂₂ + ... + (PDP^(-1))ₙₙ
= (P₁₁D₁₁P^(-1)₁₁) + (P₂₂D₂₂P^(-1)₂₂) + ... + (PₙₙDₙₙP^(-1)ₙₙ)
= D₁₁ + D₂₂ + ... + Dₙₙ
The diagonal matrix D has the eigenvalues of A on its diagonal, so we can rewrite the above equation as:
tr(A) = λ₁ + λ₂ + ... + λₙ
Therefore, the trace of A is equal to the sum of the eigenvalues of A.
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Find the lateral area, and surface area of the figure.
Round your answers to the nearest thousandth, if necessary.
Answers:
Lateral Area = 96 square kmSurface Area = 144 square km=================================================
Explanation:
For any prism, the base faces are parallel to one another, and they are congruent. In this case, the two triangles are the base faces.
The lateral sides are the three rectangles that form the "walls" so to speak. We can think of the base faces as the floor and ceiling.
The right-most wall is a 4 by 6 rectangle that has area 4*6 = 24 square km
The front-most wall is 8 by 4 leading to 8*4 = 32 square km area.
The back wall is a rectangle that is 10 by 4 to get an area of 10*4 = 40 square km.
The total lateral area is 24+32+40 = 96 square km
A shortcut is to compute the perimeter of the base to get 8+6+10 = 24 km, which multiplies with the height 4 to get 24*4 = 96 square km.
------------------------------
Now let's compute the area of one triangle
Each triangle has a base of 8 and a height of 6. So the area is
area = 0.5*base*height = 0.5*8*6 = 24 square km
There are two of these identical triangles, so we have a total base area of 24*2 = 48 square km
Add this onto the lateral area and we get the total surface area to be 48+96 = 144 square km
how other statistucal values are used to summarize data
Statistics regularly employs tables, charts, and graphs to present data visually.
What is meant by statistical values?Data can be summarized graphically or numerically (see "Graphical techniques in Statistics" for further information on the latter). The methods for numerical and graphical summarization that can be utilized depend on the type of data that was collected.
Statistics regularly employs tables, charts, and graphs to present data visually. The evaluation of raw data for patterns, data entry errors, and outlier values that can affect the statistical interpretation of the data is frequently started with examples like these.
It is important to show the data in tables, charts, and other statistical figures in a way that is both accurate and simple to understand. Additionally, tables are helpful for distilling the original data that forms the basis of a study's findings. To convey a lot of information in a small amount of area, they are effective.
The complete questions is:
Describe why charts/tables and other statistical values are used to summarize data and address the particulars of this assignment (be sure to include a thesis statement).
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TAKE NOTE PART C AND D, I HAVE POSTED A AND B ALREADY. DON'T
SEND SOLUTIONS FOR A AND B ON THIS. ANSWER THESE BELOW C AND D
Mutale and John are the only two individuals making beds in Kawambwa town. Each one of them can choose to set a high price or low price for the beds. The payoff matrix below shows the profits for each
The payoffs for choosing a low price include the subsidy amount, resulting in higher profits for both Mutale and John if they choose the low price strategy.
To redraw the payoff matrix under the government subsidy system, we need to incorporate the subsidy of K200 for individuals who choose to set a low price for their beds. The original payoff matrix is as follows:
| High Price | Low Price
-------+------------+----------
Mutale | (20, 10) | (15, 12)
John | (18, 11) | (14, 13)
Under the government subsidy system, we need to adjust the payoffs for choosing a low price by adding the subsidy amount of K200. The new payoff matrix considering the subsidy is:
| High Price | Low Price + Subsidy
-------+--------------+-------------------
Mutale | (20, 10) | (15, 12 + 200)
John | (18, 11) | (14, 13 + 200)
Simplifying the payoffs, the redrawn payoff matrix under the government subsidy system is:
| High Price | Low Price + Subsidy
-------+--------------+-------------------
Mutale | (20, 10) | (15, 212)
John | (18, 11) | (14, 213)
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Jen bowls every Saturday. She pays $6 per hour to bowl and an additional $3 to rent bowling shoes.
Answer:
6x + 3
x = hours she bowls
Short answer needed ASAP
Answer:
B
Step-by-step explanation:
I tried my best to do the math but im not exactly sure.
Answer: B
Step-by-step explanation:
I did the test
Which of the following is a factor of 32x + 4? (1 point)
O 2x -1
O 4x-4x + 1
O 4x²- 2x + 1
O Nonc of thc abovc
Answer:
2x-1
Step-by-step explanation:
hope you get help from me
16x - 4y = 3 y = 4x + 7
y in equation 1
\(\begin{gathered} 16x-4\mleft(4x+7\mright)=3 \\ 16x-16x-28=3 \\ -28=3 \end{gathered}\)-28=3 is false, therefore the system of equations has no solution
8. What is the converse of this
statement?
If Sarah keeps practicing gymnastics,
she will win a medal.
Answer:
Step-by-step explanation:
Sara will win a medal if she keeps practicing gymnastics.
in the standard normal distribution, what z score represents the 27th percentile? type your answer with two decimal places as needed.
The z score that represents the 27th percentile in the standard normal distribution is -0.61.
The standard normal distribution has a mean of 0 and a standard deviation of 1. To find the z score that represents the 27th percentile, we need to find the value of z that corresponds to a cumulative probability of 0.27. Using a standard normal distribution table or calculator, we can find that the closest cumulative probability to 0.27 is 0.2660. The corresponding z score for this probability is -0.61.
To further explain, we can use the following steps to find the z score that represents the 27th percentile:
1. Identify the area to the left of the desired percentile: Since we want to find the z score that represents the 27th percentile, we need to find the area to the left of this percentile. This is simply the cumulative probability up to this point, which is 0.27.
2. Look up the z score for the area using a standard normal distribution table or calculator: Once we have the area, we can look up the corresponding z score using a standard normal distribution table or calculator. The closest cumulative probability to 0.27 is 0.2660, and the corresponding z score for this probability is -0.61.
Therefore, the z score that represents the 27th percentile in the standard normal distribution is -0.61.
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Four vectors; each of magnitude 82 m , lie along the sides of a parallelogram as shown in the figure. The angle between vector A and B is 649 82 m 3 64 B 82 m What is the magnitude of the vector sum of the four vectors?
The magnitude of the vector sum of the four vectors = 278.158M
What is Magnitude?
The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics. Formally speaking, the size of an object is the displayed outcome of an ordering—of the class of objects to which it belongs.
A = 82(cos 64 degree x +sin 64 degree y )
= 35.946 x +73.701y
B = 82 X
C= 82 Xx
D= 82 x (cos 64 degree x +sin 64 degree y)
= 35.946 x +73.701y
net = A+B+C+D
= X (35.946+82+82+35.946) + (2*73.701)
=235.892 X + 147.402Y
Magnitute = 278.158m
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