Answer:
Option (4)
Step-by-step explanation:
Proportional relationship means,
y ∝ x
y = kx
[tex]k=\frac{y}{x}[/tex]
Here, k = proportionality constant
Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.
From table 1,
For a point (1, 2)
[tex]k=\frac{2}{1}=2[/tex]
For another point (3, 2)
[tex]k=\frac{3}{2}=1.5[/tex]
In both the cases 'k' is not same of constant.
Therefore, table (1) is not proportional.
For table (2),
Line passes through (2, 0).
That means there is a x-intercept → (2, 0)
Therefore, table doesn't represent a proportional relationship.
For table (3),
Line passes through a point (0, 1)
It means given line has a y-intercept → y = 1
Therefore, table doesn't represent a proportional relationship.
For table (4),
Line of this table passes through two points (1, 3) and (2, 6)
[tex]k=\frac{3}{1}=3[/tex]
[tex]k=\frac{6}{2}=3[/tex]
Therefore, proportionality constant for the given table is 3.
Now we can graph table (4).
I am Desperate for answer
The mean is 8 and the lower quartile is 6.
A family is purchasing concrete in order to create a foundation for a rectangular outdoor
patio. The rectangular patio is to be 15 feet wide and 17 feet long. To meet
specifications, the concrete must be poured to a depth of 6 inches. Large amounts of
concrete can be purchased by the cubic yard. How many cubic yards of concrete will it
take to construct the patio. Round your answer to the nearest tenth.
Answer:
42.5 Cubic Yards
Step-by-step explanation:
To find volume of a rectangle you do length*width*height to get the volume, so 17*15*0.5(because 6 inches is half of a foot) you get 127.5, but they're asking for it in yards not feet so you need to divide 127.5 by 3 and that will give you 42.5.
The volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.
What is the Volume of a cuboid?The volume of the cuboid is the space occupied by the 3D object cuboid. It is the product of the length, width, and depth of the cuboid.
As it is given that we need to make a rectangular foundation, therefore, the shape of the foundation will be a cuboid with sides 5 feet wide, 17 feet long, and depth of 6 inches.
Now, as we know large amounts of concrete can be purchased by the cubic yard only, therefore, we will convert each of the sides of the rectangular foundation into yards.
[tex]\rm Wide, w = 5\ feet = 5 \times \dfrac{1}{3} = \dfrac{5}{3}\ yards\\\\Length, L = 17 feet = 17 \times \dfrac{1}{3} = \dfrac{17}{3}\ yards\\\\Depth, D = 6\ inches = 0.5\ feet = 0.5 \times \dfrac{1}{3} = \dfrac{0.5}{3}\ yards\\\\[/tex]
Now, we know that the volume of the cuboid is given as the product of its length, width, and depth. therefore,
[tex]\text{Volume of Cuboid} = Length\times Width\times Depth[/tex]
[tex]= \dfrac{5}{3} \times \dfrac{17}{3} \times \dfrac{0.5}{3}\\\\= \dfrac{42.5}{27}\\\\=1.574\rm\ yards^3[/tex]
Hence, the volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.
Learn more about Volume of Cuboid:
https://brainly.com/question/46030
What are the coordinates of the vertex of the table?
Answer:
B
Step-by-step explanation:
I cant explain it but its B
Please help!! ;w; Thanks in advance!!
Kallan will spin each spinner one time. What is the probability that the first spinner will land on a number greater than 7 and the second spinner will land on blue?
Answer:
These I do know how to do!
probability of landing on blue: 2/8
probability of landing on a number greater then 7: 5/12 probability of getting both a number greater then 7 and blue: 5/48 Hope this helps!
so a right triangle has a leg of length 15 and a hypotenuse of length 45 yards. Find the length of the other leg (nearest tenth)
Answer:
42.42 yards
Step-by-step explanation:
Given :-
A right triangle has a leg of length 15 yards and a hypotenuse of length 45 yards .And we need to find the length of other leg. So since it is a right angled triangle we can use the Pythagoras Theorem which is ,
Pythagoras Theorem :-
In right angle triangle sum of squares of two smallest sides that is base and perpendicular is equal to the square of the largest side that is hypotenuse .Using Pythagoras Theorem :-
[tex]:\implies[/tex] p² + b² = h²
[tex]:\implies[/tex] 15² + p² = 45²
[tex]:\implies[/tex] 225 + p² = 2025
[tex]:\implies[/tex] p²= 1800
[tex]:\implies[/tex] p = 42.42
Hence the measure of other leg is 42.42 yards.
la tristeza es una magnitud
En este estudio, la depresión, la ansiedad y el estrés generales fueron significativamente altos. Hay varios factores asociados con la depresión, la ansiedad y el estrés. Diseñar e implementar str a medida
Espero que esto te ayude ❤️
Where the population standard deviation is known, the test statistic is determined to be -2.5. What is the p-value for this test?
Answer:
[tex]P(Z<-2.5) =0.0062097[/tex]
Step-by-step explanation:
From the question we are told that:
Test statistic t =-2.5
Generally the equation for Test for statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]
[tex]t=-2.5[/tex]
Therefore
P-value from Z table is
For left tailed test
[tex]P(Z<-2.5) =0.0062097[/tex]
therefore the P-value for the test is
[tex]P(Z<-2.5) =0.0062097[/tex]
Find the common difference of the arithmetic sequence -5, -14, -23, ...
Answer:
-9
Step-by-step explanation:
Given :-
A Arithmetic sequence -5 , -14 , -23 ...And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.
Sequence :-
[tex]:\implies[/tex] -5 , -14 , -23
Common difference :-
[tex]:\implies[/tex] CD = -14 -(-5) = -14+5=-9
[tex]:\implies[/tex] CD = -23-(-14) = -23+14=-9
Hence the common difference is (-9) .
EMERGENCY PLS HELP: Write a ratio that gives the tangent of
Answer quickly and give the correct answer please,
Answer:
B
Step-by-step explanation:
The function starts at -3 and finishes at 5
If the critic rates a total of 100 restaurants what is the best prediction for the number of restaurants she gives exactly 3 stars
Answer:
Probability = 1 / 5
Step-by-step explanation:
Assuming that rates are from 1 to 5 ; with equal probability of being 1, 2 , 3 , 4, 5 each.
So, probability of 3 stars = Outcomes with 3 stars / Total outcomes
= 1 / 5
Denise build two seawall to keep rising the water from her house. The first is 8.75 meter long. The second is 37.5 percent longer than the fist. How long is the second seawall?
Answer:
12.0 meters
Step-by-step explanation:
Given data
The first is 8.75 meters long
Let us find 37.5% of 8.75
=37.5/100*8.75
=0.375*8.75
=3.28125
Hence the Second seawall is
=3.28125+8.75
=12.0 meters
The owner of a music store wanted to box a shipment of 1,532 CDs in 36 boxes. If he puts them evenly in the 36 boxes, how many will be left over?
Answer:
The owner has
Step-by-step explanation:
36 x 36 = 1296, he has 36 boxes so he put 36 in each box, so there would be 1, 18 CDs, and there would be no boxes left.
72+((59-5) ÷3^3) x 5 + 13
Answer:
95
Step-by-step explanation:
MRK AS BRAINLIEST!!
Answer:
95
Step-by-step explanation:
Given a circle with center (h,k) and radius r that has parametric equations x = h + r cos a and y = k + r sin a, find a set of parametric equations of a circle with center (-10, 1/2) and radius sqrt(7).
Answer: [tex]x=-10+\sqrt{7}\cos \theta\-,\quad y=0.5+\sqrt{7}\sin \theta[/tex]
Step-by-step explanation:
For a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex]
The parametric equation is [tex]x=h+r\cos a[/tex], [tex]y=k+r\sin a[/tex]
For center [tex](-10,\frac{1}{2})[/tex] and radius [tex]\sqrt{7}[/tex]
Parametric equation is
[tex]\Rightarrow x=-10+\sqrt{7}\cos \theta\\\Rightarrow y=0.5+\sqrt{7}\sin \theta[/tex]
Which statement must be true?
If f(x) =-2x+9 and g(x)=-4x^2+5x-3 ,find (f•g)(x)
Answer:
f(x)=-2x+9 g(x)=-4x^2+5x-3Now, f o g (x) = f{g(x)} = f(4x^2+5x-3) = 2(4x^2+5x-3) + 9 = 8x^2+10x-6 + 9
Step-by-step explanation:
Please help. What is the surface area. This is urgent!
Answer:1733.28
square inches I think
Answer:
1733.28 in^2.
Step-by-step explanation:
The radius r = 1/2 the diameter = 1/2 *12 = 6 inches.
SA = 2*3.14*6^2 + 2*3.14*6*40
= 1733.28 in^2.
PLZZZZZZ HELLLPPPPPPPPPPP
Answer:
1
Step-by-step explanation:
Select the correct answer from each drop-down menu. The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes. The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %. The probability of a randomly selected student completing the test in 95 minutes is %.
Answer:
Step-by-step explanation:
Select the correct answer from each drop-down menu.
We solve using z score formula
z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes.
a) The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %.
z = 45 - 70/25
b) The probability of a randomly selected student completing the test in 95 minutes is %.
z = 95 - 70/25
Ahmed doubled his savings, then deposited another hundred dollars. Let s represent the amount he originally had in savings. Which shows an expression to represent his current amount and the current value of his account if s = 80?
StartFraction s Over 2 EndFraction + 100; when s = 80 the latest balance of Ahmed’s savings is $140
2 s + 100; when s = 80 the latest balance of Ahmed’s savings is $260
s squared + 80; when s = 80 the latest balance of Ahmed’s savings is $6,480
s squared + 100; when s = 80 the latest balance of Ahmed’s savings is $6,500
Answer:
B. 2s + 100 when s=80 the latest balance of Ahmed’s savings is $260
Step-by-step explanation:
We are given that the savings = $s and current amount $c.
Now, Ahmed has doubled his savings. This means that the new savings = $2s
Also, he had deposited $100.
So, the current amount of Ahmed is given by c = 2s + 100.
Moreover, if the savings is $80 i.e. s = 80, the current amount is,
c = 2 × 80 + 100
i.e. c = 160 + 100
i.e. c = 260
So, the current amount if savings is $80 is $260.
Hence, the expression for current amount is 2s + 100 and if s = 80, the current amount is $260.
ASAP please help i’ll give brainliest
Answer: all of them!!
Step-by-step explanation: hope this helps :)
(5x+3)(5x+3)gghhhhhhhh
Answer:
25x^2 + 30x + 9
A total of 2,839 people showed up to watch a band perform. The people were divided evenly among 8 equal sections of seats. How many people were seated in each section, and how many people were unable to to be seated?
Answer:
354.875
Step-by-step explanation:
Answer:
354 people were seated in each section and 7 people were unable to be seated.
Step-by-step explanation:
Really need help asap thank you!!!
Answer: 20°
Step-by-step explanation:
Let's call angle 1 x and angle 2 y
We know that x is three times greater than y, and that means that we can write it like this:
3y = x pls let me know if this part is confusing
Then we can write this entire equation:
3y + y = 80 remember, x = 3y
4y = 80
y = 20
7. The length of a rectangular swimming pool is 28 feet and the perimete
is 84 feet. What is the area of the swimming pool? *
The area is 364 because the perimeter is 84 feet, the sides are 28 times two witch it 56 and 84-56 is 26 so the other sides are 13 and 13 times 28 is 364
The inverse of the function f(x) = one-half x plus 10 is shown. H(x) = 2x- What is the missing value?
Answer:
The missing term is 20
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{2}x + 10[/tex]
[tex]h(x) = 2x -[/tex] --- inverse of f(x)
Required
Complete h(x)
We have:
[tex]f(x) = \frac{1}{2}x + 10[/tex]
Express f(x) as y
[tex]y = \frac{1}{2}x + 10[/tex]
Swap x and y
[tex]x = \frac{1}{2}y + 10[/tex]
Multiply through by 2
[tex]2x = y + 20[/tex]
Make y the subject
[tex]y = 2x - 20[/tex]
Replace y with the inverse function
[tex]h(x) = 2x - 20[/tex]
Compare
[tex]h(x) = 2x - 20[/tex]
with
[tex]h(x) = 2x -[/tex]
The missing term is 20
Answer:
its d on edge
Step-by-step explanation:
need help question 15
Answer:
To divide by (x+1) in synthetic division, you divide by -1.
-1 1 -7 4 12
-1 8 -12
—————————-
1 -8 12 0
This gives us x^2 -8x +12x which factors to (x-2) (x-6). We still have the factor of (x+1) so the zeros will be 2, 6, and -1.
Step-by-step explanation:
a scuba diver, who was 25 2/3 feet beneath the surface of the water, descended 5 1/2 feet. from this depth, how many feet must the diver rise to return to the surface?
Answer:
31 1/6 feet
Step-by-step explanation:
add 25 2/3 to 5 1/2 to see how far under the surface he is; use common denominator of 6
25 4/6 + 5 3/6 = 30 7/6
30 7/6 is the same as 30 + 1 1/6 so diver must ascend 31 1/6 feet
Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.
Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
Answer:
6.16 hours
Step-by-step explanation:
Let the number of hours that washed the car together = T
Number of hours Matthew washed = m = 14 hours
Number of hours Arianna washed = a = 11 hours
The formula to calculate how many they wash the cars together is given as
1/a + 1/m = 1/T
1/14 + 1/11 = 1/T
Lowest Common Denominator = 154
Hence:
(11 + 14)/154 = 1/T
25/154 = 1/T
Cross Multiply
154 × 1 = 25 × T
T = 154/25
T = 6.16 hours
Therefore, it will take Matthew and Arianna 6.16 hours to wash the cars together
Answer:
below
Step-by-step explanation:
A)1 can be interpreted as the job, the project, the whole thing or all of the cars
B)rate* time = amount of work (a bit like rate*time = distance for figuring how far you go at a certain speed)
C)multiply both sides by 14 hours/1 job and simplify to get t=14hours
D) ok, now we do the 2nd fraction 1/11 we want its bottom to be 154, like: 1/14 - 11/11
E)t=154/25=t= 6.16 hours