Answer:Yes
Step-by-step explanation:
By the communitive property, they are equal to each other.
6th grade math ! Help me please :))
Answer to the perimeter
2 x (5 + 13)
Answer:
2 x (5+13)
Step-by-step explanation:
To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.
12. Hayden and Jamie completed 20 math problems together. Jamie
completed 2 more than twice the number that Hayden completed. Let
p represent the number of math problems Hayden completed. Write an
equation that can be used to find the number of math problems that
Jamle completed
Answer:
No of problems Jamle completed = 2p-2
Step-by-step explanation:
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Answer:
2p-2
Step-by-step explanation:
area if room 14.5m long
and 20.3 wide is
what is the unit digits of 3^40
Answer:
1
Step-by-step explanation:
the answer is 1.21576655000000000.
the unit of this no. is 1.
Point Z is the incenter of ΔSRT.
Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A Z R is 35 degrees. Angle Z R C is 35 degrees. Angle B S Z is 24 degrees. Angle Z S A is 24 degrees.
What is mAngleZTB?
24°
31°
35°
62°
Point H is the center of the circle that passes through points D, E, and F.
Point H is the center of the circle that passes through points L, M, and N.
Line segment H E is-congruent-to line segment H D
Line segment L H is-congruent-to line segment N H
Line segment F L is-congruent-to line segment F N
Answer:
The answer is 31
Step-by-step explanation:
ZTB= 31
The measure of angle ∠ZTB of triangle SRT is 31°.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
Let S R T be a triangle, and point Z is the in center of triangle S R T.
Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C as shown in the below figure.
Here, ∠ AZR = 35°, ∠ZRC = 35°, ∠ BSZ = 24°, ∠ZSA = 24°, ∠ZTB = ?
The in center of a triangle is the intersection point of all the three interior angle bisectors of the triangle. It can be defined as the point where the internal angle bisectors of the triangle cross.
According to the angle bisector theorem,
⇒ \(\angle ZRC = \angle ARZ\)
⇒ \(\angle ARZ = 35\degree\)
Let the unknown angle, ∠ZTB be x. Then ∠BTC = 2x
The sum of the interior angles of a triangle is equal to 180°,
So, \(24+24+35+35+2x=180\)
⇒ \(118+2x=180\)
⇒ \(2x=180-118\)
⇒ \(x=\frac{62}{2}\)
⇒ \(x=31\)
Hence we can conclude that the measure of angle ∠ZTB of triangle SRT is 31°.
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Find the compound interest and future value. Round your answers to the nearest cent.
Principal Rate Compounded Time
4.29% Weekly 34 years
$116,000
The compound interest is $348,966.97 and the future value is $464,966.97.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for compound interest to calculate the future value of the investment:
\(FV=P(a1+r/n)^{nt}\)
where:
P = the principal amount (the initial investment)$116,000
r = the annual interest rate (as a decimal)=0.0429
n = the number of times the interest is compounded per year=52
t = the number of years=34
Plugging in these values, we get:
FV = $116,000(1 + 0.0429/52)¹⁷⁶⁸
FV = $464,966.97
So the future value of the investment after 34 years is $464,966.97.
Compound interest = $464,966.97 - $116,000 = $348,966.97
Therefore, the compound interest is $348,966.97 and the future value is $464,966.97.
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B=K+L/M
Solve for M
Step-by-step explanation:
\(b = k + \frac{l}{m} \\ b - k = \frac{l}{m} \\ m = \frac{l}{b - k} \\ thank \: you\)
14x² - 21x³ + 49x⁴
ayudenme porfavor
no se
sólo lo hago esto para poder preguntar
Please help!!!!!!!!!!!
Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4
Step-by-step explanation:
The point (8,1) is on the line. (Remember the line continues in both directions forever.)
True
O False
the answear us true im preety sure
Find m RS
I NEED HELP PLS!!!!
Applying the chord theorem, since chords RS and TU are equal, then the measure of arc RS is: 106°.
What is the Chord Theorem?The chord theorem states that if two chords in a circle are equal in length, then their corresponding minor arcs will also be equal in measure.
Since chords RS = TU, therefore:
m(RS) = m(TU)
Substitute
8x - 14 = 7x + 1
8x - 7x = 14 + 1
x = 15
m(RS) = 8x - 14
Plug in the value of x
m(RS) = 8(15) - 14
m(RS) = 106°
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At the beginning of January of the current year, Thomas Law Center's ledger reflected a normal balance of $55,000 for accounts receivable. During January, the company collected $17,800 from customers on account and provided additional services to customers on account totaling $14,000. Additionally, during January one customer paid Thomas $6,500 for services to be provided in the future. At the end of January, the balance in the accounts receivable account should be:
Evaluate u + xy, if u = 18, x = 10, and y = 8
Answer:
\(u + xy \\ 18 + 10 \times 8 \\ 10 + 80 \\ 90\)
Answer:
Solution,
here,
u=18
x =10
y= 8
=u+xy
=18+(10×8)
=18+80
=98
Solve for 44.
4 4 = [?]
510
51
44/42
Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.
The two opposite inside angles are given as 51 and 51
Angle 3 = 51 + 51 = 102 degrees.
Answer:
\( \displaystyle \angle4 = {108}^{ \circ} \)
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
thus our equation is
\( \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} \)
simplify addition:
\( \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} \)
cancel 102° from both sides:
\( \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}\)
By straight line theorem we acquire:
\( \displaystyle \angle4 + \angle2 = {180}^{ \circ} \)
substitute:
\( \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} \)
cancel 72° from both sides:
\( \displaystyle \angle4 = {108}^{ \circ} \)
hence, the measure of \(\angle 4\) is 108°
All of the following are examples of quantitative data EXCEPT ________.
a. the amount of sleep normally gotten by the students in a class
b. the number of siblings that students have
c. the cholesterol levels of the students in a class
d. the exam scores for the students in a class
d. the gender of the students in a class
Answer:
e. the gender of the students in a class
Step-by-step explanation:
Quantitative data is measured is numbers. For example 1, 2, 3.5,...
Qualitative data are labels, that is, tall, short, male, female, Brazilian, Colombian,...
In this question:
The only data that is not measured in numbers is the gender of the studens in class, which can be male or female, they do not assume any numeric value. So the answer is e.
The quantitive data example does not include option e. the gender of the students in a class.
Data:Quantitative data is measured in numbers. like 1, 2, 3.5,..While on the other hand, Qualitative data are labels i.e. tall, short, male, female, etc. Based on this, the last option is correct.learn more about the data here: https://brainly.com/question/20296761
What is the intermediate step in the form
(x+a)^2=b as a result of completing the square for the following question
The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)
To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:
1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).
2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).
3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:
\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).
4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).
This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)
This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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consider randomly selecting a student who is among the 14,000 registered for the current semester in a college. let be the number of courses the selected student is taking, and suppose that has the following probability distribution: X 1 2 3 4 5 6 7 F(x) 0.02 0.01 0.20 0.17 0.39 0.20 0.01 find the 30th percentile of this distribution.
So,the value of the 30th percentile of the given data will be =P30=4
The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.
Using the Cumulative Distribution Function to Calculate Probabilities
F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:
To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):
First, we will determine the value of the cumulative probability P(X<=x):
x f(x) P(X<=x)
1 0.02 0.02
2 0.01 0.03
3 0.2 0.23
4 0.17 0.4
5 0.39 0.79
6 0.2 0.99
7 0.01 1
30th percentile will be the x value,
below which less than or equal to 30% of the data falls.
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(NEED HELP WILL GIVE BRAINLIEST AND 5 STARS FOR A FAST ANSWER I HAVE 30 MINUTES)
If there is a quadratic function that has roots at x=1 and x=2, write a possible equation of this function? If there can be more than one possible equation, provide another equation for this function. If there cannot be more than one equation, explain why not.
look x can not be with 2 Y's so if it is 2 x's and 1 Y it is not a function if it is 1 x and 1 y it is a function.
The frequency table below shows a student’s quiz scores. One data value in the table is missing. If the mean of the data set is 2.2, what is the score for the missing data item? A. 0 B. 1 C. 2 D. 3
Answer:
B. 1
Step-by-step explanation:
Let's use the formula for finding the mean of a set of data:
mean = (sum of all data values) / (number of data values)
We know that the mean is 2.2, and we have all the other data values except for one. Let's call the missing value "x". The total number of data values is 10 (since there are 10 scores listed in the frequency table). So we can set up an equation:
2.2 = (sum of all 10 data values, including x) / 10
Multiplying both sides by 10, we get:
22 = sum of all 10 data values, including x
We can then subtract the sum of the known data values from both sides to find the missing value:
22 - (01 + 12 + 23 + 31 + 42 + 51) = x
22 - (0 + 2 + 6 + 3 + 8 + 5) = x
x = 22 - 24 = -2
However, a quiz score cannot be negative, so we made a mistake somewhere. Checking the frequency table, we see that there are no scores of 0 or 1, so the missing score must be 0 or 1. Let's try both possibilities:
If the missing score is 0:
2.2 = (01 + 12 + 23 + 31 + 42 + 51 + 0*1) / 10
2.2 = 18 / 10
2.2 = 1.8
This is not true, so the missing score cannot be 0.
If the missing score is 1:
2.2 = (01 + 12 + 23 + 31 + 42 + 51 + 1*?) / 10
2.2 = (18 + ?) / 10
22 = 18 + ?
? = 4
So the missing score is 1, and the answer is B.
Answer:
Answer is B
Total scores/total frequency =mean
54/24=2,25
If you added a score of 1
55/25=2,2
Step-by-step explanation:
hope that helps you
What postulate or theorem allows you to state that angle DEF is congruent to angle GHJ
Then you can state that angle DEF is congruent to angle GHJ.
The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.
This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.
In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and
you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.
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Does the graph represent a function?
please help :)
Answer:
it does
Step-by-step explanation:
i did this assignment yesterday
Which of the following ratios is not equivalent to the rest: *
6 to 8
54 : 72
36 : 56
3 to 4
Answer:
36:56
Step-by-step explanation:
Answer: C 34:55
Step-by-step explanation:
start with 6:8 that’s the first one multiply by 9 on each side you get 54:72 so that’s the same and then 6:8 divide by 2 and you get 3:4 but for 36:56 you’d have to multiply by 6 and that would give you 36:48 not 36:56
f ( 1 ) =
solve f ( x ) =1:
x =
Answer:
If b=5:7, find the value of B in terms of c
what is the value of x^2 - 6x + 9 when x = 2 + i?
The Expression x^2 - 6x + 9 when x = 2 + i is -2i
To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:
(2 + i)^2 - 6(2 + i) + 9
Simplifying the first term, we get:
(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2
Since i^2 = -1, we can substitute that in and simplify further:
(2 + i)^2 = 4 + 4i - 1 = 3 + 4i
Now we substitute this into the original expression:
(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9
Simplifying further, we get:
= 3 + 4i - 12 - 6i + 9
= 0 - 2i
= -2i
Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.
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9 cm
4 cm
1
14 cm
5 cm
Answer:
this is D
Step-by-step explanation:
The sum of two consecutive odd integers
is 540. What are the integers?
Answer:
The integers are 269 and 271.
Step-by-step explanation:
Since the sum of two consecutive odd integers is 540, to determine what are the integers, the following calculation must be performed:
Odd integer 1: X
Odd integer 2: X + 2
X + X + 2 = 540
2X + 2 = 540
2X = 540 - 2
X = 538/2
X = 269
Therefore, the integers are 269 and 271.
2(x-11/2)=8(3-x) i need help on thiss plss
Answer:
Exact Form: x = 7/2
Decimal Form: x = 3.5
Mixed Number Form: 3 1/2
Step-by-step explanation:
Brainliest Please! Hermionia out!
u=(8,-2) and v=(5,-5) what is angle between u and v
The angle between u and v is approximately 26.6 degrees.
To find the angle between two vectors, u and v, we can use the dot product formula:
u · v = ||u|| ||v|| cosθ
where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.
Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:
u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50
Next, we find the magnitudes of u and v:
||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246
||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071
Substituting these values into the dot product formula:
50 = 8.246 * 7.071 * cosθ
Simplifying, we have:
cosθ = 50 / (8.246 * 7.071) ≈ 0.899
Taking the inverse cosine (arccos) of 0.899, we find:
θ ≈ 26.6 degrees
Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:
u · v = ||u|| ||v|| cosθ
where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.
Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:
u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50
Next, we find the magnitudes of u and v:
||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246
||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071
Substituting these values into the dot product formula:
50 = 8.246 * 7.071 * cosθ
Simplifying, we have:
cosθ = 50 / (8.246 * 7.071) ≈ 0.899
Taking the inverse cosine (arccos) of 0.899, we find:
θ ≈ 26.6 degrees
Therefore, the angle between u and v is approximately 26.6 degrees.
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assume that the price elasticity of demand for good x is constant and equal to -0.5 and the price elasticity of demand for good y is constant and equal to -2. assume that goods x and y have identical upward-sloping elastic supply curves. if a per-unit excise tax of the same amount is levied on good x and on good y, which of the following would be true?
Due to the difference in their price elasticity of demand, if a per-unit excise tax of the same amount is imposed on goods X and Y, the quantity demanded for good Y will decline more than the quantity demanded for good X.
1. Consider Good X with Price Elasticity of Demand (-0.5):
The demand for good X is inelastic if the price elasticity of demand is less than zero (-0.5).
This suggests that consumers are not particularly responsive to price changes and that changes in price do not considerably affect the quantity demanded.
Excise tax effects on good X:
When good X is subject to excise tax, its price will rise. The quantity demanded won't drastically decrease because the demand is inelastic.
2. Good Y with a (-2) demand price elasticity
Demand for good Y is elastic if price elasticity of demand is -2. This shows that consumers react quickly to price fluctuations and that the amount requested fluctuates considerably as well.
Excise tax effects on good Y:
Good Y's price will rise if the excise tax is applied. The quantity needed will significantly decrease since the demand is elastic.
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