Answer:
The first one.
Step-by-step explanation:
A linear function is a straight line, regardless of direction.
The first graph is of a linear function.
The phrase linear function denotes to function which is linear, specifically of this form:
[tex]f(x) = mx + c[/tex]
This is also written as:
[tex]y = mx + c[/tex]
It is written so that we can take the outputs of the function f(x) in a separate variable for further mathematical treatments with ease.
Now when that second equation is plotted on XY plane, you get a straight line graph since this is the equation form of any straight line, in geometry.
All the straight lines are covered under y = mx + c linear function form.
Since the first graph contains a plot of straight line, thus the first graph is of linear function.
The second graph is of downwardly opened vertical parabola which is of degree 2, thus not linear.
Thus first graph is the graph of a linear function.
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An object falls 18ft in 2 seconds. Knowing the distance varies directly with the square of the time of the fall how long does it take an object to fall 79 feet
Answer:
t=4.19 seconds
Step-by-step explanation:
Distance varies directly with the square of the time of the fall
It means,
D=kt^2
18ft in 2 seconds
D=kt^2
18=k*2^2
18=4k
k=18/4
=9/2
k=9/2
D=kt^2
D=79feet
79=9/2t^2
t^2=79÷9/2
t^2=79×2/9
=158/9
t=√158/√9
t=12.57/3
t=4.19 seconds
Can someone help me with this question please
what's the best prouduct of these fractions 4/7×8/9×14/15
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▹ Answer
448/945
▹ Step-by-Step Explanation
[tex]\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
Step-by-step explanation:
4/7×8/9×14/15
= 64/135
What is the name of the map maker who, according to some, gave Venezuela its name? Salvador Dali Christopher Colombus Amerigo Vespucci Leonardo Da Vinci
The answer is C. Amerigo Vespucci
Explanation:
Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.
Answer:
c c a d c
Step-by-step explanation:
answers to the quiz edge got 100% source trust bro
What statements is equal to the expression p\11
Answer: "p divided by 11" or "p over 11" or "p by 11".
Step-by-step explanation:
We use mathematical statements to express any algebraic expression.
For example: We write 2x as "2 is multiplied by x " or " product of 2 and x".
p+q as "sum of p and q" or "p is added to q"
The given expression is : [tex]\dfrac{p}{11}[/tex]
In mathematical statements, it can be written as "p divided by 11" or "p over 11" or "p by 11".
Hence, the statements are equal to the expression [tex]\dfrac{p}{11}[/tex] are "p divided by 11" or "p over 11" or "p by 11".
In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.
Answer:
a) Which item’s price was reduced by more, and by how many dollars more was it reduced?
The DVD player's price was reduced more by $3.82 than the stereo tuner's price.
b) Round all dollar values to the nearest cent.
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
The DVD player's price was reduced by 382 cents more than the stereo tuner's price
Step-by-step explanation:
Lets day the original price of the DVD player was $100
We are told the price was marked down to 36%
36% of $100 = $36
$100 - $36 = $64
We are told the DVD cost $41.60 after the markdown.
Original cost of DVD =
$41.60/$64 × 100 = $65
Lets the original price of the Stereo player was $100
We are told the price was marked down to 22%
22% of $100 = $22
$100 - $22 = $78
We are told the DVD cost $69.42 after the markdown.
Original cost of Stereo =
$69.42/$78 × 100 = $89
DVD = $65 - $41.60 = $23.40 less
Stereo = $89 - 69.42 = $19.58 less
Difference between the DVD and the Stereo is
$23.40 - $19.58 = $3.82
Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
Answer:
The answer is A on edg 2020
Step-by-step explanation:
Question 15 PLEASE HELP Find the y-intercepts of -x+2y=12. Y-intercept: (0,___)
Answer:
(0,6)
Step-by-step explanation:
What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.
Answer:
2
Step-by-step explanation:
1/2+1/3+1/4 - 0.9
0.9 = 9/10
So, 1/2+1/3+1/4+9/10
The LCD is 60:
30/60+20/60+15/60+54/60 = 120/60
120/60 = 2
PLEASE MARK ME BRAINLIEST!
Answer:
2
Step-by-step explanation:
If 40% of the total population of a particular town of 2500 are HIV positive. How many people are HIV negative.
Answer:
1500 people
Step-by-step explanation:
Since 40% are HIV positive (that's a lot of people), 60% will be HIV negative. All you have to do is find 60% of 2500.
60% of 2500 = 0.6 * 2500 = 6 * 250 = 1500
Hope this helps!
The angles in a triangle are
in the ratio 1:5:6. Work out the
angles in degrees.
Answer:
The angles are 15,75,90
Step-by-step explanation:
Multiply the ratio by x
1x:5x: 6x
The sum of the angles of a triangle are 180
1x+5x+6x = 180
Combine like terms
12x = 180
Divide by 12
12x/12 = 180/12
x =15
Multiply by 15
1*15 : 5*15: 6*15
15: 75:90
12: 60: 72
Evaluate 4x² + 2xy for x = 5 and y = 2.
Hey there! :)
Answer:
120.
Step-by-step explanation:
Substitute in 5 for x and 2 for y into the expression 4x² + 2xy:
4(5)² + 2(5)(2) =
4(25) + 2(10) =
100 + 20 =
120.
On a block of ten houses, k are not insured. a tornado randomly damages three houses on the block. the probability that none of the damaged houses are insured is 1/120. calculate the probability that at most one of the damaged houses is insured.
Answer:
[tex]P=0.1833[/tex]
Step-by-step explanation:
The number of ways or combinations in which we can choose x elements from a group of n is calculated as:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
So, the probability that none of the damaged houses are insured can be calculated as:
[tex]\frac{kC3}{10C3}=\frac{kC3}{120}[/tex]
Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.
The probability that none of the damaged houses are insured is 1/120, so:
[tex]\frac{kC3}{120}=\frac{1}{120}\\ kC3=1[/tex]
kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.
Then, the probability that one of the damaged houses is insured can be calculated as:
[tex]\frac{3C2*7C1}{10C3}=0.175[/tex]
Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.
Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:
[tex]P=\frac{1}{120}+0.175=0.1833[/tex]
What numbers multiplied by themselves give the following: 4 36 64 121
Answer:
2, 6, 8, 11
Step-by-step explanation:
A number multiplied by itself gives a perfect square.
4 = 2²
36 = 6²
64 = 8²
121 = 11²
The numbers multiplied by itself that will give 4, 36, 64, 121 are 2, 6, 8 and 11 respectively
These are perfect squares number, such as
4, 9, 16, 25, 36 etc
4 = 2 × 2 = 2²
36 = 6 × 6 = 6²
64 = 8 × 8 = 8²
121 = 11 × 11 = 11²
other examples of perfect squares are
1 × 1 = 1 = 1²
3 × 3 = 9 = 3²
4 × 4 = 16 = 4²
5 × 5 = 25 = 5²
7 × 7 = 49 = 7²
9 × 9 = 81 = 9²
10 × 10 = 100 = 10²
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When it is 4:00 a.m. in Honolulu, it is 2:00 p.m. in London. Just before Paul’s flight from Honolulu to London, he called his friend Nigel, who lives in London, asking what kind of clothing to bring. Nigel explained that London was in the middle of some truly peculiar weather. The temperature was currently 30°C, and was dropping steadily at a rate of 1°C per hour. Paul’s flight left Honolulu at 12:00 p.m. Thursday, Honolulu time, and got into London at 1:00 p.m. Friday, London time. What kind of clothing would have been appropriate for Paul to be wearing when he got off the plane?
Answer:
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Step-by-step explanation:
If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:
[tex]d=14-4\\d=10\ hours[/tex]
London is 10 hours ahead of Honolulu.
If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:
[tex]t=12+10\\t=22 = 10:00\ p.m.[/tex]
Since he arrived in London at 1:00 p.m. at Friday, the flight time was:
[tex]F= (24-22)+13\\F=15\ hours[/tex]
The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:
[tex]T=30-(15*1)\\T=15^oC[/tex]
Converting it to Fahrenheit
[tex]T=(15*\frac{9}{5})+32 \\T=59\ F[/tex]
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Answer:
d
Step-by-step explanation:
A box plot is shown below: *check file attached* What is the median and Q1 of the data set represented on the plot? A. Median = 30; Q1 = 20 B. Median = 33; Q1 = 20 C. Median = 30; Q1 = 25 D. Median = 33; Q1 = 25
Hey there! I'm happy to help!
A box and whisker plot is a super useful tool for finding these kinds of data!
The ends of the whiskers represent the maximum and minimum point in the data set. With this plot, we can immediately see that the maximum is 44 and the minimum is 20.
Then, we have a box. The edges of the box represent the 1st and 3rd quartiles. The 1st quartile is the median or middle of the first half of the data set and the 3rd quartile is the median of the second half. We see that the 1st quartile is 25 because the left edge of the box aligns with 25. The 3rd quartile is 39 by looking at the plot.
The median is the middle number of the data set. The median is represented by the line that splits the box. We see that the median is 33 by looking at the plot.
So, by interpreting the box and whisker plot, we see that the answer is D. Median=33; Q1=25.
Now you can interpret box and whisker plots! Have a wonderful day! :D
the ratio 2.5m to 60cm can be written in the form 1:n find the value of n. someone please help asap
Answer:
1 : 6/25
Step-by-step explanation:
Convert 2.5 meters to cm
We know 100 cm = 1m
2.5 m * 100cm / 1m = 250 cm
250 cm : 60 cm
Divide by 250
250/250 = 60/250
1 : 6/25
or as a decimal
1 : .24
can someone help me solve this
Which option or options is correct?
All of them are true.
A: Rule.
B: There exist such functions f and g that satisfy the equality.
C: According to (A) this is acceptable.
D: Rule.
Hope this helps.
Answer:
D part
Step-by-step explanation:
**BRAINLIEST IF ANSWERED**
Which equation represents a circle that has a diameter of 10 units and a
center at (4,-1)?
(x+4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=25
(x+4)^2+(y-1)^2=10
Answer:
third option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus
(x - 4)² + (y - (- 1))² = 5², that is
(x - 4)² + (y + 1)² = 25 ← equation of circle
Xiao Duo and Xiao Hua have the same number of balloons. After Xiaoduo used 16 balloons, Xiaohua's balloons were 3 times that of Xiaoduo. How many balloons does Xiaohua have?
Answer:
Step-by-step explanation:
Let the number of balloons be X
Xiao Duo = X
Xiao Hua = X
Xiaoduo used 16 balloons = x - 16
Xiaohua balloons x = 3 ( x - 16)
x = 3x - 48
Collect like terms
48 = 3x - x
48 = 2x
Divide both sides by 2
48/2= x
x = 24
Xiaohua has 24 balloons
If m∠VWA=120∘ and m∠BWC=(32x−27)∘, what is the value of x?
Answer:
Value of x = 4.6 (Approx)
Step-by-step explanation:
Note:
The statement in given question is missing that both angles are congruent.
Given:
m∠VWA = 120°
m∠BWC = (32 x - 27)°
Find:
Value of x
Computation:
We know that,
⇒ m∠VWA = m∠BWC
⇒ 120 = 32x - 27
⇒ 120 + 27 = 32x
⇒ 147 = 32x
⇒ x = 147 / 32
⇒ x = 4.59375
x = 4.6 (Approx)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer: B. H(t) = -6.9(t - 2.3)² + 112
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k
where (h, k) is the vertex ⇒ k is the maximum height
the distance traveled is when y = 0 ⇒ [tex]x=\sqrt{\dfrac{-k}{a}}+h[/tex]
Given: H(t) = -7.1(t - 2.3)² + 98
maximum height (k) = 98 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-98}{-7.1}}+2.3[/tex] = 6.02 seconds
A) H(t) = -7.5(t - 2.2)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-7.5}}+2.2[/tex] = 6.06 seconds
B) H(t) = -6.9(t - 2.3)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-6.9}}+2.3[/tex] = 6.33 seconds
C) H(t) = -6.9(t - 2.4)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
D) H(t) = -7.5(t - 2.3)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.
The equations 2 x minus y = negative 2, 3 x + 2 y = 5, 4 x minus y = 2, and 22 x + 10 y = 7 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 2.5) and (1.75, 0). Blue line goes through (0.5, 0) and (1, 2). Pink line goes through (negative 1, 0), and (0, 2). Purple line goes through (negative 0.75, 2.5) and (0, 0.75). Which system of equations has a solution of approximately (–0.3, 1.4)? 2 x minus y = negative 2 and 22 x + 10 y = 7 3 x + 2 y = 5 and 4 x minus y = 2 4 x minus y = 2 and 22 x + 10 y = 7 2 x minus y = negative 2 and 3 x + 2 y = 5
Answer:
2 x - y = - 2 and 22 x + 10 y = 7
Step-by-step explanation:
To find the equation to produce a solution of approximately (–0.3, 1.4), we have to solve the equations simultaneously.
a) For line 2 x - y = - 2 and 22 x + 10 y = 7
Multiply line 1 by 10 to give : 20x - 10y = -20
Add 20x - 10y = -20 and 22 x + 10 y = 7 to get:
42x = -13
x = -13/42 = -0.3
Put x = -0.3 in 2 x - y = - 2 to get:
2(-0.3) - y = - 2
-0.6 - y = -2
y = 2 - 0.6 = 1.4
x = - 0.3 and y = 1.4
This is the correct option
b) For line 3 x + 2 y = 5 and 4 x - y = 2
Multiply line 2 by 2 to give : 8x - 2y = 8
Add 8x - 2y = 48 and 3 x + 2 y = 5 to get:
11x = 13
x = 13/11 = 1.2
Put x = 1.2 in 3 x + 2 y = 5 to get:
3 (1.2) + 2 y = 5
y = 1.4
x = 1.2 and y = 1.4
c) For line 4 x - y = 2 and 22 x + 10 y = 7
Multiply line 1 by 10 to give : 40x - 10y = 20
Add 40x - 10y = 20 and 22 x + 10 y = 7 to get:
62x = 27
x = 0.44
Put x = 0.44 in 4x - y = 2 to get:
y = -0.24
d) For line 2 x - y = - 2 and 3 x + 2 y = 5
Multiply line 1 by 2 to give : 4x - 2y = -4
Add 4x - 2y = -4 and 3x + 2 y = 5 to get:
7x = 1
x = 0.14
Put x = 0.14 in 2 x - y = - 2 to get:
y = 2.28
Answer:
it's A
Step-by-step explanation:
i took the test
There are 130 people in a sport centre, 73 people use the gym, 62 people use the swimming pool, 58 people use the track, 22 people use the gym and pool, 29 people used the pool and track, 25 people use the gym and track, 11 people use all three facilities, how many people use at least two facilities
Answer:
59/130
Step-by-step explanation:
Please help and show work ..... need fast ... college algebra The half-life for thorium-227 is 18.72 days. The amount A (in grams) of thorium-227 after t days for a 10-gram sample is given by A(t)=10⋅0.5^t/18.72 How long will it take before 1 grams of thorium-227 is left in the sample? Round your answer to the hundredths place. days
Answer:
62.17 days
Step-by-step explanation:
The computation of the number of days is shown below:
Given that
A(t)=10 × 0.5^(t ÷ 18.72)
1 = 10 × 0.5 ^ (t ÷ 18.72)
0.1 = 0.5 ^ (t ÷ 18.72)
Now consider the log in both sides
ln(0.1) = ln(0.5)^ (t ÷ 18.72)
ln(0.1) ÷ ln(0.5) = (t ÷ 18.72)
3.321928095 = (t ÷ 18.72)
So, t = 62.17 days
With the help of log, we can easily compute it
Which one doesn’t belong and why?
i think y= b^x because it is only the odd one from the group
Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
To find the area of this shape we must divide it into 2 parts :
Part 1 : the triangle Area= (3*(7/2))/2= 10.5 Part 2: the rectangle Area = 7*3 = 21 The total area is : A= 21+10.5=31.5Please help; thank you! :D ((I would offer some points, but I'm new and I don't know how that works lol))
Answer/Step-by-step explanation:
Given that the side length of a squared field is represented by the expression 3 - 7x,
a. Perimeter of the squared field (expressed as a sum):
Permimeter of a square = s + s + s + s
All sides of a square are of equal length.
s = side length of the squared field = 3 - 7x
Thus,
Perimeter expressed as a sum = (3-7x) + (3-7x) + (3-7x) + (3-7x)
b. Permitted of squared field expressed as a product:
Perimeter of square expressed as product = 4(s)
s = side length of squared field = 3 - 7x
Permimeter of squared field expressed as a product = 4(3 - 7x)
c. An equivalent expression for the product in (b) can be written using the distributive property as follows:
Perimeter = 4(3 - 7x)
Perimeter = 4(3) - 4(7x)
the sum of 4 and the second power of b is equal to 104. write as an equation
Answer:
4 + b² = 104
Hope this helps. :)
Answer:
b^{2} + 4 = 104.
Step-by-step explanation:
The sum of 4 and the second power of b basically means 4 + b^2.
b^2 + 4 = 104
[tex]b^{2} + 4 = 104[/tex]
b^2 = 100
b = plus or minus 10.
Hope this helps!
A point A is graphed at (0, 5). Complete the coordinates of a shape that can be rotated about the y-axis to create a cone. Provide an explanation for your answer please
Answer:
(0, 5), (0, 1), and (3, 1).
Step-by-step explanation:
If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right triangle. It will have its length on the y-axis, and the other length either parallel to, or on, the x-axis.
Since we already have a point at (0, 5), we can have another point at (0, 1). That means that the side length is 4. Now, we can make a 3-4-5 right triangle by having another point at (3, 1).
Hope this helps!