Step-by-step explanation:
\(y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2\)
Your friend tells you that (k²)⁻⁵ =-k¹⁰ . Did she apply the properties of exponents correctly? Explain why or why not.
No, your friend's statement is incorrect as she did not correctly apply the properties of exponents.
According to the properties of exponents, when a base is raised to a negative exponent, it can be rewritten as the reciprocal of the base raised to the positive exponent. In this case, (k²)⁻⁵ should be equal to 1/(k²)⁵.
Expanding further, (k²)⁻⁵ should be equal to 1/(k²)⁵
= 1/k¹⁰.
So, the correct expression should be (k²)⁻⁵
= 1/k¹⁰, not -k¹⁰.
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How many solutions does the system of equations have? y=4x-7 and y=4x+2
one solution
no solution
infinite solutions
WILL GIVE BRAINLIEST
Answer:
no solution
Step-by-step explanation:
4x-7=4x+2
-4x +7 -4x +7
0 = 9
0 doesn't equal 9, so there is no solution.
Answer:
no solution
Step-by-step explanation:
4x-7=4x+2
4x-4x=2+7
0=9
that's not true
thus no solution
can someone please help me
1. △ABC was transformed using two rigid transformations.
a. Compare all of the corresponding parts (angles and sides) of the image and preimage. Describe the results.
b. Explain why the results are true.
2. A triangle has six parts (three angles and three sides). Suppose you have two triangles that you want to prove are congruent, but you don't know the rigid transformations that map one triangle to the other.
a. How do you think you can prove the two triangles are congruent without using rigid transformations?
b. Suppose one of your classmates thinks they can prove the triangles are congruent by proving only two pairs of corresponding parts congruent. How would you respond to this classmate?
The corresponding parts are:
<A = <A' = <A"<B = <B' = <B"<C = <C' = <C"AB = A'B' = A"B"AC = A'C' = A"C"BC = B'C' = B"C"How to compare the sidesThe statement is given as:
△ABC was transformed using two rigid transformations.
The rigid transformations imply that:
The images of the triangle after the transformation would be equal
So, the corresponding parts are:
<A = <A' = <A"<B = <B' = <B"<C = <C' = <C"AB = A'B' = A"B"AC = A'C' = A"C"BC = B'C' = B"C"Why the results are true?The results are true because rigid transformations do not change the side lengths and the angle measures of a shape
How to prove that two triangles are congruent without using rigid transformations?To do this, we simply make use any of the following congruent theorems:
SSS: Side Side SideSAS: Side Angle SideAAS: Angle Angle SideHow to respond to this classmate?The classmate's claim is that
Only two pairs of corresponding parts are enough to prove the congruent triangle
The above is true because of the following congruent theorems:
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Answer:
Step-by-step explanation:
the expected cell frequency is based on the researcher's opinion.
True or false
False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.
In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.
The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.
By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.
Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.
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What is the equation of the line that passes through the point (1,5) and it parallel to the line 2x + y = 10?
Answer:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
5
,
0
)
y-intercept(s):
(
0
,
10
)
Step-by-step explanation:
hope it helps make brainlliest ty
Please help!!
Sean needs to read a book that is 374 pages long. The graph shown at the right shows his progress over the first 8 hours of reading. If he continues to read at the same rate how many hours total will it take for Sean to read the entire book?
A. 15 hours
B. 17 hours
C. 19 hours
D. 21 hours
Answer:15 hours
Step-by-step explanation:
You have to subtract to get your answer.I'll show you how I got 15:
374-8=366
366-8=358
358-8=350
350-8=342
Whatever number you get after you subtracted, you subtract that number from 8 until you get your answer.
Can someone please help me with this question
Simplify the given equation
5x+2(x-3)=2x-1
A) 7x-3=-2x-1
B) 7x-6=-2x+2
C) 7x-6=-2x-2
Answer: B) 7x-6=-2x+2
Step-by-step explanation:
What is the value of x in the equation below?
12 – 2(x-1)=6
Why does the test for homogeneity follow the same procedures as the test for independence?
Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.
The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.
The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.
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a ball of radius 13 has a round hole of radius 3 drilled through its center. find the volume of the resulting solid.
a ball of radius 13 has a round hole of radius 3 drilled through its center. then the volume of the resulting solid is 8.5528 x 10³ units³
The radius of the ball is 13 units.
Its volume is
V₁ = (4π*13³)/3
= 9.2028 x 10³ units³
The drilled hole has the approximate shape of a solid cylinder with radius = 3 and length = 26. Its volume is
V₂ = π*(3²)*26
= 0.650 x 10³ units³
The volume of the resulting solid is
V₁ - V₂ = 8.5528 x 10³
Answer: 8.5528 x 10³ units³
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Hiroko says, “To find the value of 109. 2 ÷ 6, I can divide by 1, 092 / 60 instead.” Do you agree or disagree with this statement? Explain your reasoning.
Answer:
I agree with Hiroko's statement. Dividing 109.2 by 6 is the same as dividing 109.2 by 6/1, which is the same as dividing 109.2 by 60/10, or 1092/60.
In general, when performing division, we can divide by any equivalent fraction instead of the divisor. For example, instead of dividing by 3, we can divide by 6/2, or 9/3, or 15/5, etc. These fractions are all equivalent to 3, since they represent the same value.
Therefore, dividing 109.2 by 6 is the same as dividing 1092 by 60, and the result will be the same in both cases.
Find the polynomial solution of the Laplace's equation Urr + y = 0 within R= {(x, y): 1
The polynomial solution of the Laplace's equation within R= {(x, y): 1 < x < 2, 0 < y < π/2} is ,
⇒ u(x, y) = Σ[Bn sin(nx)][Cm sin(ωy)].
Given:
Laplace's equation ur + Uyy = 0 within R= {(x, y): 1 < x < 2, 0 < y < ∏/2}
Polynomial solution of Laplace's equation is to be found
We assume the polynomial solution of Laplace's equation in the form of Pn(x) Qm(y).
Let's substitute the given equation in Laplace's equation and simplify it.
ur + Uyy = 0
u Pn(x) Q''m(y) + v P''n(x) Q m(y) = 0
Let's consider only the x dependent part.
u Pn(x) Q''m(y) + v P''n(x) Qm(y) = Pn(x) [uQ''m(y)] + Qm(y) [vP''n(x)] = 0
This is possible only if the terms inside the square bracket are constants.
u Q''m(y) = -λ Qm(y) v P''n(x) = λPn(x)
where λ is a constant and λ = -ω^2vP''n(x) + ω^2Pn(x) = 0
This is a homogeneous differential equation, the solution of which is of the form Pn(x) = An cos(nx) + Bn sin(nx)
We apply the same method for Qm(y).uQ''m(y) + ω²Qm(y) = 0
where ω² = n² + λ and λ = -ω²Qm(y) = Cm sin(ωy) + Dm cos(ωy)
The general solution is of the form:
u(x, y) = [An cos(nx) + Bn sin(nx)][Cm sin(ωy) + Dm cos(ωy)]
where An, Bn, Cm, and Dm are constants.
u(x, y) = Σ[An cos(nx) + Bn sin(nx)][Cm sin(ωy) + Dm cos(ωy)]
The polynomial solution of the Laplace's equation within R= {(x, y): 1 < x < 2, 0 < y < ∏/2} is:
u(x, y) = Σ[An cos(nx)][Cm sin(ωy)]
We know that at x=1, u(x, y) = 0.
Therefore, An = 0 for all n.
So, the polynomial solution of Laplace's equation is,
u(x, y) = Σ[Bn sin(nx)][Cm sin(ωy)]
Thus, the polynomial solution of the Laplace's equation within R= {(x, y): 1 < x < 2, 0 < y < ∏/2} is u(x, y) = Σ[Bn sin(nx)][Cm sin(ωy)].
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Complete question is,
Find the polynomial solution of the Laplace's equation Ur + Uyy = 0 within R= {(x, y): 1 < x < 2, 0 < y < π/2} .
Simple math problem
*Multiple choice*
Answer:
I believe its A
Step-by-step explanation:
Found the answer and its A, good luck.
Use substitution: y = 2x and x + y = 9*
Answer:
x=3
y=6
Step-by-step explanation:
5multipled 10the power 5 multipiled 4 multipled 10 to the power 3 divided by 2 multipled by 10 to the power minus 3
Step-by-step explanation:
answer
Are you clear your doubt with my answer?
The side lengths 5, 12, and 13 are called a Pythagorean Triple. What is so special about these three side lengths
The 13 has a "3" in it.
This triple is special because it contains two prime numbers.
The longest side is just one unit longer than the middle side.
They are positive integers that form a right triangle.
Answer:
D
Step-by-step explanation:
Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else
Determine whether the next pair of triangles is similar. If the triangles are similar, give a reason: write AA, SSS, or SAS.
The two triangles in this problem are similar, and the reason for their similarity is given as follows: AA.
What are similar triangles?Similar triangles are triangle that share these following two features:
Congruent angle measures.Proportional side lengths.The two right triangles in this problem are similar, as they have two common angle measures, given as follows:
The right angle.The angle at the bottom left of the image.As the angles have two common angle measures, the reason is given as follows:
AA.
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a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 411.0 gram setting. it is believed that the machine is underfilling the bags. a 35 bag sample had a mean of 406.0 grams. a level of significance of 0.05 will be used. state the hypotheses. assume the standard deviation is known to be 25.0.
Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.
To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.
Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)
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PLEASE assist me in this geometry problem !!! Thanks
Answer:
B=9*5=45m²
P=4+5+3=12m
H=9m
Now
S.A=P*H+2B=12*9+2*45=198m²
V=BH=45*9=405m³
here
B:base area of rectangle
P=perimeter of triangle
H=length of rectangle
S.A=surface area
V=Volume
what is the denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity
The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity is equal to the number of total observations (N) minus the number of groups (k). So, it can be represented as (N - k).
The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity depend on the sample size and the number of groups being compared.
In a two-sample test, the denominator degrees of freedom are equal to the total sample size minus the number of groups being compared. In a one-way ANOVA test, the denominator degrees of freedom are equal to the total sample size minus the number of groups being compared minus one. In a two-way ANOVA test, the denominator degrees of freedom are equal to the product of the degrees of freedom for each factor. In general, a higher denominator degrees of freedom value indicates a greater precision in the estimate of the population variance, which is important in determining the accuracy of the F statistic and the significance of the test.Thus, the denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity is equal to the number of total observations (N) minus the number of groups (k). So, it can be represented as (N - k).Know more about the degrees of freedom
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You draw a card from a standard deck of cards, put it back, and then draw another card. What is the probability of drawing a diamond and then a black card
Step-by-step explanation:
There are 52 cards 13 are diamonds 26 are black
13 out of 52 times 26 out of 52 =
13/52 X 26/52 = 1/8 = .125
Please help me i need help
Answer:
sin is .6, Cos is .8 and tan is .75
Step-by-step explanation:
Ez
can someone help me, please?
Answer:
C. angle bisector
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
Hope this helps and hope you have a happy and joyful day <3
Find the value of x. Round to the
nearest tenth.
26
12
X
X = [?]
Answer:
y = 4x - 2
y = -x + 3
Step-by-step explanation:
Each year the Student Council conducts a food drive. At the end of the drive, the members report on the items collected.
A. Describe two different ways that the students can sort the items that were collected.
B.Write two expressions to represent the number and type of items collected.
C. Share your expression with classmates. How are the expressions similar? How are they different? Why are they different?
Enter your answer.
Answer:
A) Canned and Packet
Grain, Meat and Vegetables
B) Let C = canned goods, let P = packet goods
20C + 7P
Let G = grain, let M = meat, let V = vegetables
7G + 3M + 17V
C) The number of grain and packet goods are the same in each expression, as this food group has been packaged in the same way.
The other variables in both expression are different. The meat and vegetable food groups have been separated in the second expression, whereas they are part of the same group in the first expression.
to disprove the null hypothesis a researcher must develop a number that demonstrates the existence of difference between two variables. this is called the:
To disprove the null hypothesis a researcher must develop a number that demonstrates the existence of a difference between two variables. this is called the alternative hypothesis.
Null hypothesis and Alternative hypothesis are two basic types of hypothesis that express the criteria of a research problem as a relationship between two or more variables.
Null hypothesis refers to the hypothesis which clarifies that there is no relationship between two variables.
An alternative hypothesis is the inverse of the null hypothesis which tells that there is a relationship between two variables.
Hence, demonstrating that there exist a difference between two variables is an alternative hypothesis.
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every member from 2 clubs, dance club and boxing club are invited to a party. you know there are 50 members in the dance club and 30 members in the boxing club. among the 30 members from the boxing club, 10 of them are also members of the dance club. in total, how many people are invited to this party? 1 point a. 80 b. 60 c. 70
The party will have a total of 70 attendees, including members from both the dance club and the boxing club. Option (c)is right.
To determine the total number of people invited to the party, we need to add the number of members from the dance club and the number of members from the boxing club who are not also members of the dance club.
Number of members in the dance club = 50
Number of members in the boxing club = 30
Number of members from the boxing club who are also members of the dance club = 10
To find the number of members from the boxing club who are not members of the dance club, we subtract the number of overlapping members from the total number of members in the boxing club:
Number of members from the boxing club who are not members of the dance club = Number of members in the boxing club - Number of members from the boxing club who are also members of the dance club = 30 - 10
= 20
Now, to find the total number of people invited to the party, we add the number of members from the dance club to the number of members from the boxing club who are not members of the dance club:
Total number of people invited = Number of members in the dance club + Number of members from the boxing club who are not members of the dance club
= 50 + 20
= 70
Therefore, the correct answer is c. 70.
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A rectangle around Utah is about 270 miles wide and about 350 miles tall. The upper right comer that is missing
is about 110 miles wide and about 70 miles tall.
What are the scale distances of a scale drawing of Utah where 1 centimeter = 50 miles
The scale distance of given object is 5.4 cm wide, 7 cm tall, from missing corner its 2.2 cm wide and 1.4 cm tall.
Given that, a rectangle around Utah is about 270 miles wide and about 350 miles tall.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Here scale factor = 1/50
Width of rectangle around Utah is 1/50 × 270
= 5.4 cm
Length of rectangle around Utah is 1/50 × 350
= 7 cm
Now, 110 miles = 1/50 × 110
= 2.2 cm
70 miles = 1/50 × 70
= 1.4 cm
Therefore, the scale distance of given object is 5.4 cm wide, 7 cm tall, from missing corner its 2.2 cm wide and 1.4 cm tall.
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why plant propagation is important?
Answer:
so the plants will grow more
Answer:
Importance of plantspropagation :Multiply the different species in large number. Protect the plant species which are endangered. Improve the characteristics and quality of the plants. Produce quality and healthy plants on commercial base.
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