Answer:
1) Business costs less. It costs $8 less.
2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.
What’s the Y-intercept of the parabola with the equation y= x^2 - 4x-10?
Answer:
-10
Step-by-step explanation:
Plug in 0 to the equation ('cause y-intercept is found when "x" =0), and u get -10.
The constant is typically the y-intercept.
Who’s right? And why?
Answer: Raymond is correct
The DJ charges $75 an hour.
=================================================
Explanation:
x = number of hours
y = total cost
The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)
Another point is (5,425) because a 5-hour event costs $425.
Let's find the slope of the line through these two points.
\((x_1,y_1) = (3,275) \text{ and } (x_2,y_2) = (5,425)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{425 - 275}{5 - 3}\\\\m = \frac{150}{2}\\\\m = 75\\\\\)
The slope is 75, meaning that each time y goes up by 75, x goes up by 1.
Flipped around it means each time x goes up by 1, y goes up by 75.
This means each time we add on an extra hour, the cost goes up by $75.
The DJ charges $75 an hour. Raymond is correct.
a research group conducted a study to investigate whether the claim was true. the group found that 56 percent of a randomly selected sample of car owners in the united states owned american-made cars. a test of the appropriate hypotheses resulted in a p-value of 0.283. assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a
Assuming the conditions for inference were met, we do not have sufficient evidence to conclude that the proportion of car owners who own American-made cars is different from a hypothesized value.
To determine whether there is sufficient evidence to conclude that the proportion of car owners in the United States who own American-made cars is different from a hypothesized value, we need to conduct a hypothesis test.
The null hypothesis is that the true proportion of car owners who own American-made cars is equal to the hypothesized value, denoted by p0. The alternative hypothesis is that the true proportion is not equal to p0. Mathematically, this can be written as:
H0: p = p0
Ha: p ≠ p0
where p is the population proportion of car owners who own American-made cars.
In this case, the sample proportion is 0.56, and assuming the conditions for inference were met, we can use the normal distribution to conduct the test. The test statistic is given by:
z = (p - p0) / √(p0(1-p0)/n)
where n is the sample size.
The p-value of the test is 0.283, which is greater than the significance level a (which is not given in the question).
This means that we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the proportion of car owners who own American-made cars is different from the hypothesized value at the given significance level.
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Complete question is:
A representative of a car manufacturer in the United States made the following claim in a news report. "Ten years ago, only 53 percent of Americans owned American-made cars, but that figure is significantly higher today." A research group conducted a study to investigate whether the claim was true. The group found that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars. A test of the appropriate hypotheses resulted in a p-value of 0.283. Assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago?
a rectangular parking lot is 67.5 ft wide and 148 ft long. what is the area of the parking lot in square meters?
The area of the rectangular parking lot is 929.03 square meters.
Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:
Area = length × width
We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:
Area = 67.5 ft × 148 f
t= 9990 sq. ft
However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.
Area in square meters = Area in square feet × 0.092903
= 9990 sq. ft × 0.092903
= 929.03 sq meters
Therefore, the area is 929.03 square meters.
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6.11.4 Test(TST): Circles Without Coordinates). The questions are in the document.
The value of AOB and BOC based in the information given in the circle will be 53°.
How to calculate the values in the circle?From the information given, the central angle is the angle that the vertex is at the center of the circle.
It was stated that OB bisects AOC. Therefore, since AOB is 53°, BOC is also 53°.
The value of AOC will now be:
= AOB + BOC
= 53° + 53°
= 106°
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T/F The conclusion of a sound argument is true relative to the premises, but it is also true as a separate statement removed from the premises.
True. In a sound argument, the conclusion is true relative to the premises, meaning that if the premises are true, the conclusion must also be true.
However, the conclusion is also true as a separate statement removed from the premises because it is based on valid reasoning and logical inference from the premises. In other words, the conclusion follows necessarily from the premises and is not dependent on them to be true. Therefore, even if the premises were false, the conclusion would still be true if the argument is valid.
This is because a sound argument requires two conditions:
1) the argument is valid, meaning that if the premises are true, the conclusion must necessarily be true; and 2) the premises are actually true. Since both conditions are met in a sound argument, the conclusion is not only true relative to the premises but also true as an independent statement.
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due last weeeekk help!!!!
A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:
Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).
In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;
(x, y) → (y, -x)
Ordered pair B' (-2, 1) → E (1, 2)
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Can some one help me please?
Answer:
3x^3-2x^2-4x+2( option A) remainder= 7
Step-by-step explanation:
Can Someone Help Me With This:
The annual rainfall for Austin, Texas, and San Antonio, Texas, in each of the years from 2002 to 2011 are shown in the tables. Use the data for 9-it.' Annual Rainfall for Austin, Texas (in.) 36.00 21.41 52.27 22.33 34.70 46.95 16.07 31.38 37.76 19,68 Annual Rainfall for San Antonio, Texas (in.) 46.27 28,45 45.32 16.54 21.34 47.25 13.76 30.69 37.39 1759 9. Use a spreadsheet to find the mean for the two cities' annual rainfalls. In which city does it rain more in a year, on average?
In San Antonio, Texas it rain more in a year, on average when compared to Austin, Texas according to the mean of both cities.
Data of Austin, Texas is as follows:
36.00, 21.41, 52.27, 22.33, 34.70, 46.95, 16.07, 31.38, 37.76 and 19.68.
Number of values ( n ) = 10
Sum of the values = 318.23
Average of the rainfall in Austin, Texas is equal to:
Mean = Total sum / No. of Values
Mean = 318.23 / 10
Mean = 31.82 in
Data of San Antonio, Texas is as follows:
46.27, 28.45, 45.32, 16.54, 21.34, 47.25, 13.76, 30.69, 37.39 and 17.59.
Number of values ( n ) = 10
Sum of the values = 304.6
Average of the rainfall in San Antonio, Texas is equal to:
Mean = Total sum / No. of Values
Mean = 304.6 / 10
Mean = 30.46 in
So, comparatively the average of San Antonio is higher.
Therefore in San Antonio, Texas it rain more in a year, on average when compared to Austin, Texas.
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A rational number
can be a fraction that is not a whole number.
must be positive.
cannot be a whole number.
is always an integer.
Answer:
A
Step-by-step explanation:
On anotherv question these two guys said A, I got it right, and ye.
Answer:
answer is A
can be a fraction that is not a whole number
Step-by-step explanation:
hope this helps!
whats the relation ship between these two
List your two solutions to help people during a weather-related hazard below:hurricane
Answer: Supplies
Step-by-step explanation: the best way to help people is to send them supplies cause usually after a hurricane they could have there home or water source destroyed
HELP DUE IN 20 MINS!
m∠c =?? degrees
° m∠d =?? degrees
Answer:
Step-by-step explanation:
This figure better be a square, otherwise there is no answer.
The diagonals of a square intersect at right angles, so d = 90 degrees. That property comes from the rhombus.
Squares have equal sides and the opposite sides are parallel. The triangle containing c is isosceles. The lower right corner is a right angle. So c must equal 45 degrees since the angle on the lower left must equal 45 degrees as well
Answer
c = 45
d = 90
the attendance for a basketball team declined at a rate of 5% per game throughout a losing season. 15 games were played in the season and 23,500 people were at the first game. how many people were at game 7?
At Game 7, the attendance for the basketball team had declined by 5% x 6 games = 30% and This means that the attendance at Game 7 was 23,500 x (1 - 0.3) = 16,450 people.
The attendance for a basketball team declined at a rate of 5% per game throughout a losing season. This means that for every game, the attendance dropped by 5% in comparison to the attendance of the game before it.
15 games were played in the season and 23,500 people were at the first game. To calculate the attendance at Game 7, we first need to calculate the total amount that the attendance had declined by by the 7th game.
This can be done by multiplying the rate of decline (5%) by the number of games that had passed (6 games). This gives us a total decline of 30%. We then need to calculate the attendance at Game 7 by subtracting the total decline from the initial attendance.
This can be done by multiplying the initial attendance (23,500) by (1 - 0.3), which gives us 16,450 people. Therefore, the attendance at Game 7 was 16,450 people.
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What is cumulative frequency
Explanation:
Cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value. The phenomenon may be time- or space-dependent. Cumulative frequency is also called frequency of non-exceedance.
Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.
For a cube whose side length the lexpression
Dany bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
Answer:
He bought 12 $0.25 costing cards and 8 $0.15 costing cards.
Step-by-step explanation:
Let the number of $0.25 costing cards he bought be s,
Let the number of $0.15 costing cards he bought be t,
According to the question,
He bought a total of 20 game cards,
Thus,
s + t = 20
or, s = 20 - t ------(i)
Now,
Since, he bought s and t no of cards each and it amounted to $4.2, we know,
$0.25s + $0.15t = $4.2
or, $0.25(20 - t) + $0.15t = $4.2 [From (i)]
or, $5 - $0.25t + $0.15t = $4.2
or, $5 - $4.2 = $0.1t
or, $0.8/$0.1 = t
t = 8
From (i),
s = 20 - t = 20 - 8 = 12
Therefore, he bought 12 $0.25 costing cards and 8 $0.15 costing cards.
What is the total price of a $60 restaurant tab if you leave a 15% tip?
Answer:
$69 is the total cost of the bill
Step-by-step explanation:
60(1.15)
60 is the cost of the bill, and the 1.15 is the added tax plus the previous $60.
Put 60(1.15) into a calculator and
$69
Which is a solution of the inequality 7 ≤ −2x + 3 ?
A.) 1
B.) 2
C.) −2
D.) −1
Answer: x ≤ -2
Option C is correct
Answer:
x ≤ -2 then it is C) -2
Step-by-step explanation:
7 ≤ −2x + 3
2x+7 ≤ + 3
2x ≤ 3-7
2x ≤ -4
x ≤ -4/2
x ≤ -2
In his computer science class, farid is learning how to program computer games. for his final project, farid is creating his own multilevel game. there is a proportional relationship between the number of levels farid has created for his game, x, and how long (in weeks) it took him to program them, y. the equation that models this relationship is y=4x. how long does it take farid to create 4 levels? write your answer as a whole number or decimal. weeks
According to the question the equation that models this relationship is y=4x. it takes Farid 16 weeks to create 4 levels for his game.
According to the given proportional relationship, the equation that models the relationship between the number of levels created, x, and the time taken to program them, y, is y = 4x.
To find how long it takes Farid to create 4 levels, we substitute x = 4 into the equation:
y = 4(4)
y = 16
Therefore, it takes Farid 16 weeks to create 4 levels for his game.
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Tim's family is visiting Emeryville. They plan to see a movie and then explore the town. The
movie will cost the family $48, and parking costs $8 per hour.
How long will the family be able to spend in Emeryville if they want to spend less than $80 and
they don't have any other expenses?
Answer:
4 hours
Step-by-step explanation:
the cost of movie is $48
means they have $32 left with them
parking charge is $8 (32/8= 4)
means they can spend 4 hours in Emeryville
3a + 3ab + 7b – 2c – 4d
Lets count...
3a...thats 1 term
3ab....thats 2
7b.....thats 3
-2c....movin on up to 4
-4d....and we end at 5
so this expression has 5 terms since none of the terms can be combined :)
Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?
h(x) = g(f(x))
Take f(x) and plug it into g(x).
g(f(x)) = sqrt{4x}
g(f(x)) = sqrt{4(3x^3 + 8x^2)}
g(f(x)) = sqrt{12x^3 + 32x^2}
We are done.
Answer:
h(x) = sqrt{12x^3 + 32x^2}
The composite function as shown is \(g(f(x)) =\sqrt{12x^3+32x^2}\)
Composite functions
Given the following fnctions
\(f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}\)
The composite function g(f(x)) is expressed as:
\(g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}\)
Hence the composite function as shown is \(g(f(x)) =\sqrt{12x^3+32x^2}\)
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HELPPPPP!!! PLEASEE The weight of a baby every month since birth is indicated by segments A, B, and C on the graph below.
Select the segments in the correct order from the least to greatest rate of increase in the weight of the baby.
A, B, C
C, B, A
C, A, B
B, C, A
I dont understand, sorry. I dont understand the diffrtence between the orders It makes no sense whatsoever
Answer:
C, B, A.
Step-by-step explanation:
16. During a discount salle, an online video game store sells all puzzle games for $6.00 and all action gernes for
$8.00. Bella plans to spend exactly $19.00 on games from this store.
Which equation represents Bella's purchasing options, where is the number of puzzle games bought and yis
the number of action games bought?
A. (6 + 8) = 404
B. 40+ 62 = 8y
C. 40 +8y=63
D. 6x + 8y = 40
The sequence (an) satisfies a1 =1 and 51^(an+1-an) -1 = 1/n+2/3 for n . Let k be the least integer greater than 1 for which ak is an integer. Find k.
Given a sequence (an) such that a1 = 1 and 51^(an+1-an) - 1 = 1/(n + 2/3).We need to find the least integer greater than 1 for which ak is an integer .Let's try to obtain the value of an such that ak is an integer.
Using the given equation, we get;51^(an+1-an) - 1 = 1/(n + 2/3)51^(an) * 51^(1-an) = (3n + 2)/3. Now, we can write 51 as 3^(-1)Therefore, (3^(-1))^an * 3^(an-1) = (3n + 2)/3(3^(an-1))^2 = (3n + 2) / (3^(-an)) (dividing both sides by 3^an)3^(2an-2) = (3n + 2) * 3^an3^(an-2) = (n + 2/3) * 3Log both sides Log 3^(an-2) = Log ((n + 2/3) * 3)an - 2 = Log (n + 2/3) + 1an = Log (n + 2/3) + 3Now, since ak should be an integer, we can say that Log (k + 2/3) + 3 is an integer.
Let's consider k = 2Log (2 + 2/3) + 3 = 1.81093...., which is not an integer. Let's consider k = 3Log (3 + 2/3) + 3 = 2.46393...., which is not an integer. Let's consider k = 4Log (4 + 2/3) + 3 = 3.12686...., which is not an integer. Let's consider k = 5Log (5 + 2/3) + 3 = 3.77983...., which is not an integer. Let's consider k = 6Log (6 + 2/3) + 3 = 4.44276...., which is not an integer. Let's consider k = 7Log (7 + 2/3) + 3 = 5.10573...., which is not an integer. Let's consider k = 8Log (8 + 2/3) + 3 = 5.76866...., which is not an integer. Let's consider k = 9Log (9 + 2/3) + 3 = 6.43163...., which is not an integer. Let's consider k = 10Log (10 + 2/3) + 3 = 7.09456...., which is not an integer. Let's consider k = 11Log (11 + 2/3) + 3 = 7.75753...., which is an integer. Therefore, the least integer greater than 1 for which ak is an integer is 11.
Answer: k = 11.
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Triangles E F G and K L M are shown. Angles E F G and K L M are congruent. The length of side K L is 6, the length of side M L is 5, and the length of K M is 8. The length of E G is 24, the length of G F is 15, and the length of E F is 18.
Can the triangles be proven similar using the SSS or SAS similarity theorems?
Yes, △EFG ~ △KLM only by SSS.
Yes, △EFG ~ △KLM only by SAS.
Yes, △EFG ~ △KLM by SSS or SAS.
No, they cannot be proven similar by SSS or SAS
Based on the given information, we cannot prove that △EFG and △KLM are similar using the SSS or SAS similarity theorems. The correct answer is option D) No, they cannot be proven similar by SSS or SAS.
To determine if the triangles △EFG and △KLM can be proven similar using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) similarity theorems, we need to compare their corresponding sides and angles.
SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
SAS Similarity Theorem states that if two corresponding sides of two triangles are proportional, and the included angles are congruent, then the triangles are similar.
Let's examine the given information:
Side lengths of △EFG: EF = 18, EG = 24, FG = 15.
Side lengths of △KLM: KL = 6, KM = 8, LM = 5.
By comparing the side lengths, we can see that they are not proportional. For example, the ratio of EF/KL is 18/6 = 3, while the ratio of EG/KM is 24/8 = 3. Therefore, the corresponding sides of △EFG and △KLM are not proportional, which means we cannot establish similarity using the SSS theorem.
Now, let's consider the SAS theorem. For this, we also need to compare the included angles.
Angles of △EFG: ∠EFG, ∠EFG, ∠EGF.
Angles of △KLM: ∠KLM, ∠KML, ∠KLM.
The given information states that ∠EFG and ∠KLM are congruent. However, we don't have any information about the other angles. Without knowing the congruency of the remaining angles, we cannot establish similarity using the SAS theorem
Option D.
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Answer: Its C
Step-by-step explanation:
What is the equation of the line that passes through the points (-2, 1) and (1, 10
Jessie can jog 11/3 miles in 1/4 hour. Find his average speed in miles per
hour. *Type answer as a mixed number**
Answer:
14 2/3 mph
Step-by-step explanation:
11/3 times 4
or 3 2/3 times 4
the answer is 14 2/3 mph