Answer: 48/6=8 or 8x6=48 or 6x8=48
Step-by-step explanation: iykyk
Use the sketch tool to mark the picture with the given
information. Then choose what postulate proves the
triangles congruent
SAS
SSS
AAS
ASA
HL
Answer:
SAS
Step-by-step explanation:
We know that segment PR is congruent to segment SQ, because of the a line bisects the segment the segments are on. We also know that angle PRQ is congruent to angle SRQ, because of the reflexive property. Using the same property, QR is congruent too QR.
By knowing that, we can conclude that the two triangles are congruent because of SAS.
Let an = 5n/4n + 1 Determine whether {an) is convergent. convergent divergent
To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.
First, let's rewrite the expression for the nth term of the sequence:
an = 5n / (4n + 1)
As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:
an ≈ n / (4n + 1)
Now, we can consider the limit of the sequence as n approaches infinity:
lim(n→∞) n / (4n + 1)
To evaluate this limit, we can divide both the numerator and denominator by n:
lim(n→∞) (1 / 4 + 1/n)
As n approaches infinity, the term 1/n approaches zero, leaving us with:
lim(n→∞) 1 / 4 = 1/4
Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.
In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.
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What types of caffeinated drinks do you consume?”
Coffee, 10; tea, 9; soda, 9; energy, 3.
Would it be appropriate to make a pie chart to display the data?
Halp me this question
2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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a salvage value of $7,000 after 4 years. At a MARR of 12% per year, when comparing the alternatives, the equation of PW is written as:
a. PWX=−20,000−9000(P/A,12%,4)+5000(P/F1,12%,4)−15000(P/F,12%,4)
b. PWX=−20,000−9000(P/A,12%,4)+5000(P/F,12%,2)−15000(P/F,12%,2)
c. None of these answers
d. PWX=−20,000+9000(P/A,12%,4)+5000(P/F,12%,4)−15000(P/F,12%,2)
The correct equation for comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).
The correct equation for the present worth (PW) when comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is:
b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2)
This equation takes into account the initial cost of -$20,000, the cash inflow of $9,000 per year for 4 years (P/A,12%,4), the salvage value of $5,000 at the end of year 2 (P/F,12%,2), and the salvage value of $15,000 at the end of year 4 (P/F,12%,4).
Therefore, the correct option is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).
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The preference relation ≽ satisfies monotonicity if for all x, y ∈ X, if xk ≥ yk for all k, then x ≽ y, and if xk > yk for all k, then x ≻ y.
The preference relation ≽ satisfies strong monotonicity if for all x, y ∈ X, if xk ≥ yk for all k and x ≠ y then x ≻ y.
Show that preferences represented by min{x1, x2} satisfy monotonicity but not strong monotonicity
If we contrast the different parts, x1 = 3 2 = y1 and x2 = 4 4 = y2 are the results.
To show that preferences represented by min{x₁, x₂} satisfy monotonicity but not strong monotonicity, we need to demonstrate two things:
Preferences satisfy monotonicity: If xᵢ ≥ yᵢ for all i, then x ≽ y, and if xᵢ > yᵢ for all i, then x ≻ y.
Preferences do not satisfy strong monotonicity: There exist x and y such that xᵢ ≥ yᵢ for all i, but x ≠ y, and x ≰ y.
Let's address each of these points:
Monotonicity:
Suppose x and y are two bundles such that xᵢ ≥ yᵢ for all i. We need to show that x ≽ y and x ≻ y.
First, note that min{x₁, x₂} represents the minimum value between x₁ and x₂, and the same applies to y₁ and y₂.
Since x₁ ≥ y₁ and x₂ ≥ y₂, we can conclude that min{x₁, x₂} ≥ min{y₁, y₂}.
Therefore, x ≽ y, indicating that if all components of x are greater than or equal to the corresponding components of y, then x is weakly preferred to y.
However, if x₁ > y₁ and x₂ > y₂, then min{x₁, x₂} > min{y₁, y₂}. Hence, x ≻ y, indicating that if all components of x are strictly greater than the corresponding components of y, then x is strictly preferred to y.
Thus, preferences represented by min{x₁, x₂} satisfy monotonicity.
Strong Monotonicity:
To show that preferences represented by min{x₁, x₂} do not satisfy strong monotonicity, we need to provide an example of x and y such that xᵢ ≥ yᵢ for all i, but x ≠ y, and x ≰ y.
Consider the following bundles:
x = (3, 4)
y = (2, 4)
In this case, x₁ > y₁ and x₂ = y₂, so x ≻ y.
However,Thus, xᵢ ≥ yᵢ for all i, but x ≠ y, and x ≰ y.If we compare the individual components, x₁ = 3 ≥ 2 = y₁ and x₂ = 4 ≥ 4 = y₂.
Therefore, preferences represented by min{x₁, x₂} satisfy monotonicity but not strong monotonicity.
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Slope of (-9, -3) and (7, -7)
Answer:
it will be -10/-2 which will get you a slope of positive 5 since the negatives cancel out with each other
Step-by-step explanation:
Answer:
Its an up slope function that measures up to 10 apart diagonal. Also, I included a picture.
hope this helps!
carl purchases a $337 car stereo at worst buy . he paid $38 at the time of the purchase and agreed to pay the balance in 12 equal monthly payments . the finance charge was 11% simple interest . what was the amount of each payment
The amount of each payment, given the amount the car was purchases for and the equal payments stipulation, is $ 27. 66.
How to find the payment ?First, find the total amount that was financed by the equal payments :
= $ 337 - 38
= $ 299
The total amount paid after 12 months is :
= 299 x 11 % x 1 year
= $ 32. 89
The total amount Carl would have paid in 12 months is :
= 299 + 32. 89
= $ 331. 89
The total monthly payments is :
= 331. 89 / 12
= $ 27. 66
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Helppppppppppoppopooppppllppppppppplllll
I WILL GIVE U BRAINLYEST!! PLSS HELP!
The graph below represents the number of siblings each student in a class has.
what was the mean number of siblings?
The mean number of students in the class is 2.4 siblings.
What is the mean number of students?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = total sum of siblings / number of students
[(0 x 4) + ( 1 x 4) + ( 2 x 2) + ( 3 x 8) + ( 4 x 4) ] / ( 2 + 4 + 2 + 8 + 4)
= 48 / 20 = 2.4 siblings
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Please help me pleaseeee
Answer:
x=14 is not a factor
Step-by-step explanation:
Set up the long division problem to evaluate the function at 14.
(2x+4)/(x−14)
Divide using synthetic division.
2+(32/(x−14))
The remainder of the synthetic division is the result based on the remainder theorem.
32
Since the remainder is not equal to zero, x=14 is not a factor.
x=14 is not a factor
PLS HELP FAST
At a hockey game, a vender sold a combined total of 232 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
The vendor sold 172 sodas and 58 hotdogs at the hockey game.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
let, the number of soda cans be 'x' and the number of hot dogs be 'y'.
So, From the given information x = 3y and the vendor sold a total of 232.
Therefore, x + y = 232.
3y + y = 232.
4y = 232.
y = 232/4.
y = 58.
So, He sold 58 hot dogs and 3×58 = 172 soda cans.
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a survey of a fourth-grade class resulted in the following information
The probability that a student likes either mathematics or social sciences, given the survey on the fourth - grade class is, 68 %.
How to find the probability ?The probability that a student would like either mathematics or social sciences in the fourth - grade class, is :
= Probability that student likes math + Probability that student likes social sciences - Probability that student likes both math and social sciences
Probability that student likes math = 64 %
Probability that student likes social sciences = 11 %
Probability that student likes both math and social sciences = 7 %
The probability that a student likes either mathematics or social sciences is :
= 64 % + 11 % - 7 %
= 68 %
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Full question is :
A survey of a fourth-grade class, resulted in the following information:
64% liked mathematics, 11% liked social studies, and 7% liked both mathematics and social studies.
Find the probability that a student likes either mathematics or social sciences. (write the answer in percentage)
Please check the attached picture, please answer thoroughly!
The selection depends on individual needs, preferences, and the intended use of the tiny house.
a) To find the amount of space inside each house, we need to calculate the volume for each design.
House on the left:
Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³
Triangular house:
Volume of a triangular prism = (base area x height) / 2
Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²
Volume = (20 m² x 7 m) / 2 = 70 m³
b) When comparing the environmental impacts of each house, several factors need to be considered:
Positive impacts:
1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.
2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.
3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.
Negative impacts:
1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.
2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.
3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.
c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:
The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.
The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.
Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.
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How many elementary events are in the sample space of the experiment of rolling three fair coins? O2 09 O 8 6
Two homebuyers are financing $137,000 to purchase a condominium. They obtained a 15-year, fixed-rate loan with a rate of 5.05%. They have been given the option of purchasing up to three points to lower their rate to 4.87%. How much will the three points cost them? a. $6,919 b. $6,199 c. $4,110 d. $4,101
The cost of three points for the homebuyers is $739.80.
To calculate the cost of three points for the homebuyers, we need to determine the value of each point and then multiply it by three.
Given:
Loan amount: $137,000
Interest rate without points: 5.05%
Interest rate with points: 4.87%
The difference between the two interest rates is the value of one point.
Interest rate difference = 5.05% - 4.87% = 0.18%
To find the value of one point, we calculate 0.18% of the loan amount:
Value of one point = 0.18% * $137,000
Value of one point = 0.0018 * $137,000
Value of one point = $246.60
Now, to determine the cost of three points, we multiply the value of one point by three:
Cost of three points = $246.60 * 3
Cost of three points = $739.80
The price of three points for the homebuyers is therefore $739.80.
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The side lengths of a 45-45-90 triangle are in the ratio 1 : 1 : SR2 what is tan 45?
SR= square root
Answer:
Step-by-step explanation:
tan 45=1/1=1
Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle, the value of tan45 is 1.
What is the 45-45-90 triangle?The 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.
Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle.
The side lengths of a 45-45-90 triangle are in the ratio 1: 1: \(\sqrt{2}\).
The value of tan45 is given by the following formula;
\(\rm Tan 45 = \dfrac{Perpendicular}{Base}\\\\Tan45=\dfrac{1}{1}\\\\Tan45=1\)
Hence, the value of tan45 is 1.
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In a survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 2.
Cards Chosen
Number
1
2
3
4
5
The theoretical probability of choosing a card with the number is
nothing%. The experimental probability of choosing a card with the number is
nothing%. The theoretical probability is
the experimental probability.
(Type integers or decimals.)
Answer:
25
Step-by-step explanation:
1. The city commission wants to construct a new street that connects Main Street and North Boulevard asshown in the diagram below. The construction cost has been estimated at $110 per linear foot. Find theestimated cost for constructing the street. (1 mile = 5280 ft) one legs is 9 mi and the base is 6 mi but the hypotenuse is ?.
EXPLANATION
Since we have that the cost per linear foot is $110, and by applying the Pytagorean Theorem, we can get the value of the new street as shown as follows:
\(\text{Hypotenuse}^2=\text{shorter leg\textasciicircum{}2 + larger leg \textasciicircum{}2}\)Where shorter leg = 6 , larger leg = 9 and Hypotenuse = New Street
Substituting terms:
\(New_{\text{ }}street^2_{\text{ }}=6^2+9^2\)Applying the square root to both sides:
\(\text{New street}=\sqrt[]{117}\)Simplifying:
\(\text{New stre}et=3\sqrt[]{13}=10.82\text{ miles}\)Representing the length in ft units:
\(\text{New str}eet\text{ = 10.82 }\cdot\text{ }5280\text{ = }57129.6\text{ ft}\)Finally, the cost per linear foot will be:
\(\text{New stre}et=57129,6\text{ ft }\cdot\text{ }110\text{ =6,284,256}\)The cost of the street will be of $6,284,256
2(3x+4) - 4 (x + 2)=6 what dose x =
Step-by-step explanation:
2(3x + 4) - 4(x + 2) = 6
6x + 8 - 4x - 8 = 6
2x = 6
x = 6/2 = 3
WHAT IS EQUIVALENT TO THE INEQUALITY y/2 -6 <8 ? PLEASE HURRY ITS DUE 10:50
Answer:
y < 28
Step-by-step explanation:
get the y on its own
y/2 - 6 < 8
y/2 - 6 + 6 = y/2
8 + 6 = 14
y/2 < 14
y/2 x 2 = y
14 x 2 = 28
y < 28
Naomi can text 90 words in 12 minutes. At this rate, how many minutes would it take her to text 165 words?
Answer:
Step-by-step explanation:
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2+ (12 5/8) + 7 ( 12 3/4) +5 (12 7/8) +5 (13) + 4 ( 13 1/8) S= ehh help meh
Answer:
285 3/4
Step-by-step explanation:
The distributive property applies to mixed numbers as well as to other kinds of expressions. It is convenient to treat the integer part of the problem separately from the fractional part, then add results.
2+ (12 5/8) + 7 ( 12 3/4) +5 (12 7/8) +5 (13) + 4 ( 13 1/8)
= 2 +12 + 7(12) +5(12) +5(13) +4(13) + (5/8 +7(3/4) +5(7/8) +4(1/8))
= 2 +12(1 +7 +5) +13(5 +4) + (5/8 +21/4 +35/8 +4/8)
= 2 +12(13) +13(9) + ((5 +35 +4)/8 +42/8)
= 2 +(13)(12 +9) +86/8
= 2 +(13)(21) +10 6/8
= 12 3/4 + 273
= 285 3/4
__
Your calculator can compute this sum for you.
There are 5 white balls,8 red balls ,7 yellow balls and 4 green balls in a container a ball is choosen at random.what is the probabilty of chooseing neither white or green? .
15/19 + 14/19 = 29/19
Step-by-step explanation:
Add the number of balls in the basket together.
Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball
Suppose that 15 inches of wire costs 45 cents. At the same rate, how much (in cents) will 43 inches of wire cost?
Answer: 1, 280 cents
Step-by-step explanation:
answer this algebra question x/12 - 5 = 7
Answer:
x=144
Step-by-step explanation:
x/12-5=7
x-60=84
x=84+60
x=144
uppose a 6 x 8 matrix A has five pivot columns. What is nullity A? Is Col A=R5? Why or why not? nullity A = 4 (Simplify your answer.) Is Col A= R5? Why or why not? O A. No, because Col A is a subspace of R6. B. No, because Col A is a subspace of R8. C. Yes, because rank A=5. D. Yes, because the number of pivot positions in A is 5.
The nullity of the matrix is 3, and the the column space of A is a subspace of R6 with dimension 5. Option (c) and (d) are correct.
Suppose we have a 6 x 8 matrix A with five pivot columns. The nullity of A is defined as the dimension of the null space of A, which is the set of all solutions to the homogeneous equation Ax = 0. Since the number of pivot columns in A is 5, we can use the rank-nullity theorem to determine the nullity of A. The rank-nullity theorem states that the sum of the rank and nullity of a matrix equals its number of columns.
Therefore, if A has five pivot columns, its rank is also 5. Thus, the nullity of A can be calculated as:
nullity A = number of columns - rank of A
= 8 - 5
= 3
Hence, the nullity of A is 3.
On the other hand, the rank of A is 5, which means that the columns of A are linearly independent and span a subspace of dimension 5. Thus, option C is correct. Alternatively, we can also say that the column space of A is the subspace of R6 spanned by its columns, which has dimension 5. Therefore, option D is also correct.
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A shipping crate is packed with unit cubes. The length of the crate is 4
units, the width is 2 units, and the height is 4 units. Find the volume
of the shipping crate.
Answer:
The volume of shipping crate is 32 unit cubes.
Step-by-step explanation:
Given that:
Length of the crate = 4 units
Width of the crate = 2 units
Height of the crate = 4 units
Volume of shipping crate = Length * Width * Height
Volume of the crate = 4 * 2 * 4
Volume of crate = 32 unit cubes.
Hence,
The volume of shipping crate is 32 unit cubes.
Answer:
32 units
Step-by-step explanation:
Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make
Answer: 18
Step-by-step explanation:
\(12(1.50)=18\)