The numeric values of the function are given and explained as follows:
f(-2) = 8000, meaning a qualifying applicant with -2 siblings would receive a financial aid of $8,000. This interpretation does not make sense in the context of the problem.f(4) = 14,000, meaning a qualifying applicant with 4 siblings would receive a financial aid of $14,000. This interpretation makes sense in the context of the problem.The domain is: {x is a whole number and x ≥ 0}.How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the function is given by:
f(x) = 10000 + 1000x.
In which:
The output f(x) is the financial aid.The input x is the number of siblings in the family.When x = -2, we have that:
f(-2) = 10000 + 1000(-2) = 8000.
Hence:
f(-2) = 8000, meaning a qualifying applicant with -2 siblings would receive a financial aid of $8,000. This interpretation does not make sense in the context of the problem.
When x = 4, we have that:
f(4) = 10000 + 1000(4) = 14,000.
Hence:
f(4) = 14,000, meaning a qualifying applicant with 4 siblings would receive a financial aid of $14,000. This interpretation makes sense in the context of the problem.
The number of siblings is a discrete number, and has to be of at least 0, hence:
The domain is: {x is a whole number and x ≥ 0}.
More can be learned about the numeric values of a function at brainly.com/question/28367050
#SPJ1
A billboard painter is using a pulley system to hoist a can of paint up to a scaffold at a rate of half a meter per second. The height of the can of paint as a function of time is given by h(t) = 0.5t + 8. Five seconds after he starts raising the can of paint, his partner accidentally kicks a paint brush off of the scaffolding, which falls to the ground. The height of the falling paint brush can be represented by h(t) = −4.9(t − 5)2 + 38. When does the brush pass the paint can? If necessary, round your answer to the nearest hundredth.
The value of the t in the linear equation is 10 approximately.
According to the statement
We have to find that the value of the t.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
The equations are:
h(t) = 0.5t + 8.
h(t) = −4.9(t − 5) + 38.
Then
= 0.5t + 8
= −4.9(t − 5) + 38.
And
= 0.5t + 8
= −4.9t + 24.5 + 38.
And
= 0.5t + 8
= −4.9t + 62.5
Now,
Subtact the equations then
= 0.5t + 8 - (−4.9t + 62.5)
= 0.5t + 8 + 4.9t - 62.5
= 0.5t + 4.9t - 62.5+8
= 5.4t -54.5
Then
5.4t = 54.5
t = 54.5/5.4
t = 10.092.
So, The value of the t in the linear equation is 10 approximately.
Learn more about linear equation here
https://brainly.com/question/4074386
#SPJ9
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 303 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 89 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 571 mg of cholesterol. How much cholesterol is in each item?
If by eating 2 eggs and 1 cupcake, a child consumes 571 mg of cholesterol. The amount of cholesterol that is in each item are; 19 mg, 276mg, 8 mg.
Amount of cholesterolE + C + P = 303
Where:
Egg=E
Cupcake=C
Pizza=P
Hence,
3C + 4P =89
4P = 89-3C
P = (89-3C)/4
2E + C = 571
2E = 571-C
E = (571-C)/2
(571-C)/2 + C + (89-3C)/4 = 303
(571-C)2 + 4C + 89-3C = 303×4
(571-C)2 + 4C + 89-3C = 1212
1142 -2C + 4C + 89-3C = 1212
-C = 1212-89-1142
C =19mg (1 cupcake)
E = (571-C)/2
E= (571-19)/2
E=552/2
E= 276mg (1 egg)
P = (89-3C)/4
P = (89-3(19))/4
P = (89-57)/4
P=32/4
P=8 mg (1 pizza)
So,
Egg=E=19 mg
Cupcake=C=276 mg
Pizza=P=8 mg
Check:
19+276 + 8 = 303 mg
Therefore If by eating 2 eggs and 1 cupcake, a child consumes 571 mg of cholesterol. The amount of cholesterol that is in each item are; 19 mg, 276mg, 8 mg.
Learn more about cholesterol here:https://brainly.com/question/19941388
#SPJ1
100POINTS100POINTS100POINTS100POINTS
The data set shows the fuel efficiencies, in miles per gallon, of the vehicles featured in a car-buying guide.
27 30 41 27 20 22 36 37 44 45 29 29
(a) What is the five-number summary of the data set? Show your work.
(b) What is the range of the data set? Show your work.
(c) What is the interquartile range (IQR) of the data set? Show your work
The five number summary are as follows:
minimum = 20maximum = 45Q₂(median) = 29.5Q₁(first quartile) = 27Q₃(third quartile) = 39The range of the data sets is 25.
The interquartile range of the sets is 12.
How to find five number summary?The five number summary describes where data values occur, their central tendency, variability, and the general shape of their distribution.
The five number summary includes minimum number, maximum number, median(Q₂), first quartile(Q₁) and third quartile(Q₃).
Therefore, the five number summary are as follows:
27, 30, 41, 27, 20, 22, 36, 37, 44, 45, 29, 29
Arrange the data in ascending order.
20, 22, 27, 27, 29, 29, 30, 36, 37, 41, 44, 45
There are as follows;
minimum = 20maximum = 45Q₂(median) = 29 + 30 / 2 = 29.5Q₁(first quartile) = 27 + 27 / 2 = 27Q₃(third quartile) = 37 + 41 / 2 = 39Therefore,
Range of the data sets = 45 - 20 = 25
Interquartile range (IQR) = Q₃ - Q₁ = 39 - 27 = 12
learn more on five number summary here: https://brainly.com/question/11203575
#SPJ1
Y= -4x-10
For all prime numbers less then 15
The values of y for all the prime numbers less than 15 are -14, -18, -22, -30, -28, -54, -62
What are prime numbers?Prime numbers are defined as numbers that have only two factors:
The number 1Number itselfFrom the information given, we need to find the value of x as prime numbers less than 15
The prime numbers that are less than 15 are:
1, 2, 3, 5 , 7, 11, 13
Now, let's substitute each as the value of x as follows
Substitute x as 1
y = - 4(1) - 10
y = -4 - 10 = -14
Substitute x as 2
y = -4(2) -10
y = -8 - 10 = -18
Substitute x as 3
y = -4(3) - 10
y = -12 -1 0 = -22
Substitute x as 5
y = -4(5) - 10
y = -20 - 10 = -30
Substitute x as 7
y=-4(7) -10
y = -28 - 10 = -38
Substitute x as 11
y = -4(11) - 10
y = -44 - 10 = -54
Substitute x as 13
y = -4( 13) - 10
y = -52 - 10 = -62
Thus, the values of y for all the prime numbers less than 15 are -14, -18, -22, -30, -28, -54, -62
Learn more about prime numbers here:
https://brainly.com/question/145452
#SPJ1
The owner of a ski resort estimates that a new 4-person ski lift will cost $5,000,000. The owner begins making payments on March 1 and every three months thereafter for 5 years into an account that earns 4% annual interest compounded quarterly. What payment amount must the owner make to have the cost of the ski lift in 5 years? Round your answer to the nearest cent.
The quarterly payment that the ski resort owner must make in 5 years to have the cost of the ski lift is $277,076.57.
How is the quarterly payment determined?The quarterly payment can be computed by determining the ski lift's total cost (future value).
Dividing the future cost or value by the number of periods (quarters) results in quarterly payments.
Data and Calculations:N (# of periods) = 20 quarters (5 x 4)
I/Y (Interest per year) = 4%
PV (Present Value) = $5,000,000
FV (Future Value) = $0
Results:
PMT = $277,076.57
Sum of all periodic payments = $5,541,531.49
Total Interest = $541,531.49
Thus, the quarterly payment that the ski resort owner must make in 5 years to have the cost of the ski lift is $277,076.57.
Learn more about periodic payments at https://brainly.com/question/13031679
#SPJ1
Write the expanded form of the expression.
y(0.5 + 5)
Answer:5.05y
Step-by-step explanation:
Therefore, the expanded form of the expression y (0.5 + 8) is 0.5y + 8y
Using this example we can find out that 0.5y+5 y=5.05 y thats the answer
please kindly give me brainiest thank you
Samuel's family took a road trip to Mount Rushmore. Samuel fell asleep after they
had travelled 990 miles. If the total length of the trip was 1000 miles, what
percentage of the total trip had they travelled when Samuel fell asleep?
Answer:
99%
Step-by-step explanation:
five sandwich rings are each cut into 4 pieces. you then cut each of the pieces into 3 servings . how many servings do you have.
The total number of servings is equal to the product of 5, 4 and 3. Thus, the required number of servings is 60.
A product is something that has undergone one or more multiplications. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.
A number can be multiplied by another number to determine each of its products. For instance, 9 x 3 equals 27, so 27 is a product of 9 and 3. Each number has an infinite number of possible products because it can be multiplied by an infinite number of different numbers to produce an infinite number of results. When considering how to find the product of a number, there are some simple facts to understand. For instance, any whole number multiplied by two will always result in an even number.
Learn more about product here
https://brainly.com/question/10873737
#SPJ9
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 51 minutes of calls is $17.24 and the monthly cost for 95 minutes is $22.52. What is the monthly cost for 68 minutes of calls?
With respect to the linear function, the monthly cost for 68 minutes of calls is $19.28 if 51 minutes and 95 minutes cost $17.24 and $22.52 respectively.
What is the slope of the cost function?The slope of the cost function which is the same as the variable charge per minute of call is determined by:
(the total costs of the highest activity - the total cost at the lowest activity) /the difference between the number of call minutes slope (cost per minute)
= ($22.52-$17.24)/(95-51)
Slope (cost per minute) =$0.12y
=a+bxy
=total cost
=$22.52
Note that:
a = fixed charge = unknown
b = slope = $0.12x = number of minutes = 9522.52
= a+(0.12*95)22.52
= a+11.40a =22.52-11.40a
=11.12y
= 11.12+0.12x
when x = 68y
= 11.12+(0.12*68)y
= total cost for 68n minutes
=$19.28
Find out more about cost on:
https://brainly.com/question/24516871
#SPJ1
The monthly cost for 68 minutes of calls is $19.28
What is the equation of straight-line?
The equation of straight-line considers the fixed charge of using phone plan per month plus the total variable cost of minutes of call, I mean the cost per minute of the plan can be determined by computing the slope of the straight-line equation
slope=(total cost for 95 minutes-total cost of 51 minutes)/(95-51)
total cost for 95 minutes=$22.52
total cost of 51 minutes=$17.24
slope=($22.52-$17.24)/(95-51)
slope= variable cost per minute=$0.12
We can determine the fixed charge per month using the straight-line equation and cost for 95 minutes
y=a+bx
y=total cost=$22.52
a=fixed charge per month=unknown
b=cost per minute=$0.12
x=number of minutes=95
$22.52=a+($0,12*95)
$22.52=a+$11.40
a=$22.52-$11.40
a=$11.12
total cost(68 minutes)=a+bx
a=$11.12
b=$0.12
x=68
total cost=$11.12+($0.12*68)
total cost=$19.28
Find out more about linear function on:https://brainly.com/question/14115882
#SPJ1
1
A 13 km stretch of road needs repairs. Workers can repair 3 km of road per week.
1312/321
How many weeks will it take to repair this stretch of road?
weeks
The average time taken by workers to complete the repairing of the road is about the 4 and half weeks.
According to the statement
We have to find that the Time taken by the workers.
So, For this purpose, we know that the
Average time is a measurement that evaluates how long a works spends on repairing roads.
From the given information:
A 13 km stretch of road needs repairs. Workers can repair 3 km of road per week.
Then
If worker complete 3 km of the road in the 7 days
Then
Workers complete 13 km in the days = Total distance / Average distance
Then
Workers complete 13 km in the days = 13 / 3
Workers complete 13 km in the days = 4.33 weeks.
So, The average time taken by workers to complete the repairing of the road is about the 4 and half weeks.
Learn more about Average time here
https://brainly.com/question/1476828
#SPJ9
Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time. How many baseball cards does Jose have?
When Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.
How to illustrate the information?It should be noted that the information is to simply find the numbers. This van only be done through manipulation.
The number is 61. It should be noted that:
61 / 3 = 20 remainder 1
61 / 4 = 15 remainder 1
61 / 5 = 12 remainder 1.
61 / 6 = 20 remainder 1.
Therefore, when Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.
Learn more about numbers on:
brainly.com/question/2464930
#SPJ1
Find the value of r so the line that passes through each pair of points has the given slope.
(r, 7), (3, 4), m = -3/5
The value of r so that the line passes through (r, 7), (3, 4) and slope of - 3 / 5 is - 2.
How to find the pair of point of a line using the slope?The slope of the line is given as m = - 3 / 5.
The pair of point are (r, 7)(3, 4).
Using slope intercept form equation is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using (3, 4) we will find the y-intercept
y = - 3 / 5 x + b
4 = -3 / 5 (3) + b
4 = - 9 / 5 + b
b = 4 + 9 / 5
b = 20 + 9/ 5
b = 29 / 5
Therefore, the equation of the line is as follows;
y = - 3 / 5x + 29 / 5
Hence, let's find r (r, 7)
7 = -3 / 5(r) + 29 / 5
7 - 29 / 5 = -3 / 5 r
35 - 29/ 5 = -3 / 5 r
6 / 5 = - 3 / 5 r
cross multiply
-15r = 30
divide both sides by -15
r = 30 / -15
r = -2
Therefore, the value of r is -2.
learn more on slope here:https://brainly.com/question/13683246
#SPJ1
if a polynomial is prime, then it cannot be factored. 5x + 13y is prime.
5x + 13y is prime , it cannot be factored.
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial .
Some trinomials cannot be factored. If none of the pairs total b, then the trinomial cannot be factored.
Given equation is 5x + 13y
If a polynomial is prime, then it cannot be factored. 5x + 13y is prime.
In this regard,
The law of detachment states that
1) If p happens, then q happens;
2) p is true;
Then, a there is a third statement that is
3) q is also true.
In this question,
If a polynomial is prime, then it cannot be factored.
The statements in the question can be represented as:
(1) If 5x + 3y is a polynomial and is prime then it cannot be factored
(2) It cannot be factored
Using the above representations of p and q, as an illustration; the third statement would be:
(3) 5x + 3y is a polynomial and is prime then we can conclude that
5x + 13y cannot be factored.
To learn more about law of detachment
visit - brainly.com/question/13966470
#SPJ9
If the parent function f(x) = |x| is transformed to g(x) = |x + 5|, what transformation occurs from f(x) to g(x)?
Function g (x) horizontal shift left with 5 units.
What is Transformation?
The act or process of changing completely is called transformation.
Given that;
The parent function is;
f (x) = |x|
and , After transformed the function is g(x) = |x + 5|
Now, Compare the function to the parent function we get;
The transformation occur from f (x) = |x| to g (x) = |x + 5|.
Function g (x) = |x + 5| horizontal shift left with 5 units.
So, Function g (x) horizontal shift left with 5 units.
Learn more about the parent function visit:
https://brainly.com/question/26397691
#SPJ1
There are 35 green, 22 white, 30 purple and 14 blue gumballs in the gumball machine. Sharee wants to get a white or green gumball. What is the probability of getting a Green gum ball
The probability of getting a green gum ball is 0.35 (35/101)
What is probability?Probability is the measure of chance that some event would happen.
Probability that an event will occur = (No of favorable possibilities of the event) / (total possible possibilities)
Given that there are 35 green,22 white, 30 purple and 14 blue gumballs in the gumball machine.
Therefore, Total gum balls = 35+22+30+14 = 101
The probability of getting a green gumball = no of green gumballs/ total gumballs
Therefore, probability of getting a green gumball = 35/101 = 0.35
Also, Learn more about probability from:
https://brainly.com/question/11234923
#SPJ1
If angle 2 = 6x + 5 and angle 4 = 4x + 14, what is the value of angle 2? Round your answer to the hundredths place.
Answer:
32°
Step-by-step explanation:
Angles 2 and 4 are vertical angles, so they are congruent. That means that their measures are equal.
First, we set their measures equal to each other.
Then we solve the equation for x.
Then, we use the value of x to find the angle measure.
m<2 = 6x + 5
m<4 = 4x + 14
Set the measures equal.
6x + 5 = 4x + 14
Subtract 4x from both sides.
2x + 5 = 14
Subtract 5 from both sides.
2x = 9
Divide both sides by 2.
x = 4.5
m<2 = 6x + 5
m<2 = 6 × 4.5 + 5
m<2 = 27 + 5
m<2 = 32
Answer: 32°
The maximum weight an apartment elevator can hold is 1615 pounds weighs 240 pounds and he needs to carry boxes that weigh pounds each Use the equation 55b 240 1615 to find the greatest number of boxes Bill can carry in the elevator in one trip
Answer: Bill weighs 230 pounds and he needs to carry boxes that weigh 75 pounds each. Use the equation 75b+230< =1805 to find the greatest number of boxes Bill can carry in the elevator in one trip.
Step-by-step explanation:
Find the center of dilation.
• Triangle B is a dilation of A with approximately what scale factor?
• Triangle A is a dilation of B with approximately what scale factor?
• Triangle B is a dilation of C with approximately what scale factor?
Answer:
Triangle B is a dilation of A with approximately what scale factor
Triangle B is a dilation of A with approximately a scale factor of 8.
Triangle A is a dilation of B with approximately a scale factor of 1/8.
Triangle B is a dilation of C with approximately a scale factor of 3/4.
We have,
In mathematics, dilation refers to the transformation of a shape, object, or figure by uniformly scaling it up or down.
When the constant factor is greater than 1, the dilation results in an enlargement of the shape, making it larger.
Conversely, when the constant factor is between 0 and 1, the dilation leads to a reduction of the shape, making it smaller.
Now,
Triangle B is a dilation of A with approximately by a scale factor of:
Since triangle B is greater than A.
The scale factor is greater than 1.
Triangle B looks 8 times of triangle A.
So,
The scale factor is 8.
And,
Triangle A is a dilation of B with approximately by a scale factor of:
Since triangle B is smaller than A.
The scale factor is less than 1.
Triangle A looks like 12.5 % of triangle C.
12.5% = 1/8
So,
The scale factor is 1/8.
Triangle B is a dilation of C with approximately by a scale factor of:
Since triangle B is smaller than A.
The scale factor is less than 1.
Let's say,
Triangle B looks 75% of triangle C.
So,
The scale factor is 3/4.
Thus,
Triangle B is a dilation of A with approximately a scale factor of 8.
Triangle A is a dilation of B with approximately a scale factor of 1/8.
Triangle B is a dilation of C with approximately a scale factor of 3/4.
Learn more about scale factors here:
https://brainly.com/question/20759556
#SPJ7
In the figure below, k || I and m || n. Find the values of z and y.
69°
N
m
zo
(4y - 29)
n
Answer:
y=35, z=111
Step-by-step explanation:
By the same-side interior angles theorem, z=111.
By the alternate interior angles theorem,
[tex]111=4y-29 \\ \\ 140=4y \\ \\ y=35[/tex]
Justify Reasoning The quotient of two negative integers results in an integer. How does the value of the quotient compare to the value of the original two integers? Explain.
The quotient compares to the value of the original two integers as it's a positive number.
How to calculate the value?The result of dividing two numbers is a quotient; the divided number is referred to as the dividend, and the number by which it is divided is referred to as the divisor.
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.
From the information, the quotient of two negative integers results in an integer.
Fur example, -4 divided by -2 will give a value of 2. Therefore, the quotient of the negative numbers is a positive number.
Therefore, the quotient compares to the value of the original two integers as it's a positive number.
Learn more about integers on:
brainly.com/question/17695139
#SPJ1
What is the product of −17 • −5 • −12?
Answer:
-1020
Step-by-step explanation:
-17 x - 5 x - 12 =
- 17 x 60 =
- 1020
During one year, the Larsons' real estate bill included $401 for local schools. Of this amount, $145 went to the high
school district. What percent did the Larsons pay to the high school district?
According to the solving the percent Larsons pay to the high school district 63.8%.
Describe percentage:A % is a relative figure that represents one-tenth of a quantity. One percent (symbolized 1%) is the hundredth part; consequently, 100 percent denotes the complete amount and 200 percent specifies twice the supplied number.
How do you write percentages?In scientific and engineering writing, use the symbol% to denote percent, except when expressing numerals at the beginning of a phrase. When writing the word, use the form percent as opposed to the archaic version percent. During the test period, just 3% of the systems crashed.
According to the given data:Bill included $401 for local schools
$145 went to the high school district
Amount Remaining = $ 401 - $145
= $ 256
Percent Larson's pay to the high school district is:
256/401
.638 x 100
= 63.8%
According to the solving the Larsons pay to the high school district 63.8%.
To know more about percent visit:
https://brainly.com/question/14699403
#SPJ9
Your return on investment A is 4.5% and your return on investment B is 3%. If the total of your investment is $75,000, how much should you invest in each fund to obtain a return of 4%?
One has to invest $50000 in A and $25000 in B
Let x represent the investment in A and y represent the investment in B.
Total investment is $75,000 ( given )
hence x + y=$75,000 (from the above information)
x + y= 75,000 (equation 1)
Interest rate in A is 4.5 % and Interest rate in B is 3 %
now, 4% of $75000 = $3000
4.5x/100 + 3y/100 = $3000
= 4.5x+3y=300000 ( equation 2 )
Multiplying 3 to equation 1
which equals to 3x + 3y= 225000 ( equation 3 )
Solving equations: equation 2 & equation 3
4.5x+3y=300000 ( equation 2 )
3x + 3y= 225000 ( equation 3 )
(-) (-) = (-)
1.5x = 75000
x= 50000
substituting x= 50000 in equation 1 (x + y= 75,000)
50000 + y= 75,000
⇒y =75000-50000
⇒y=25000
Hence, Check can be done by multiplying the interest rates with the respective answer and summing them to get $3000
LEARN MORE ABOUT INTEREST SUMS HERE: https://brainly.in/question/2663098
#SPJ9
Write down all the whole numbers that are between 25 and 50 and have a difference of 4 between their digits. please and thanks
these are the only ones i can find
26 37 40 48
Which is greater 8.391 or 8.371
Answer:
8.391
STEPS:1. Compare the first digit. If they are the same, move on to the next digit. In this case, we have to look at the hundredths place.
2. Check to see which number is bigger. We are looking at 9 and 7. 9 is the bigger number. this means that 8.391 is bigger.
Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Charlie had left Memphis and drove 5.5 hours towards New Orleans. Violet had left New Orleans and drove 2 hours towards Memphis, at a speed 10 miles per hour faster than Charlie's speed. The distance between Memphis and New Orleans is 395 miles. Find the speed, in miles per hour, of the two drivers.
Charlie 50 miles per hour
Violet 60 miles per hour
It is given that the distance between Memphis and New Orleans is 395 miles. This means, the total distance both covered = 395 miles
Charlie drove for 5.5 hours and Violet drove for 2 hours. Let the speed of Charlie be x miles per hour. Since, the speed of Violet was 10 miles per hour faster than Charlies, the speed of charlie was (x + 10) miles per hour
Since, distance = speed × time
Distance covered by Charlie = 5.5x
Distance covered by Violet = 2(x + 10)
Altogether they covered 395 miles,
So,
395 = Distance covered by Charlie + Distance covered by Violet
395 = 5.5x + 2(x + 10)
395 = 5.5x + 2x + 20
375 = 7.5x
x = 375/7.5
x = 50 mph
Since, x represents the speed of Charlie, the speed of charlie was 50 miles per hour and speed of Violet =
Speed of Charlie +10
50+10 =60
speed of Violet =60mph
For more knowledge about Speed
visit - https://brainly.com/question/13943409
#SPJ9
Graph the line whose x -intercept is 9 and whose y-intercept is 7.
The x-intercepts and y-intercepts (9,0) and (0,7) respectively.
In geometry, a line draw in between the coordinate axes by using the intercepts. The intercepts are the intersecting points of the points of the line with coordinate axes. The intersecting point of the line with x - axis is called the x - intercept (a,0). Here a is the intercept length.
Similarly, The intersecting point of the line with y - axis is called the y - intercept (0,b). Here b is the intercept length.
Now,
The x-intercept (a) = 9
So, the x - intercept point is (9,0)
and
The y - intercept (b) = 7
So, the y - intercept point is (0,7)
Now, the graph of the line :
Learn more about Graph at:
https://brainly.com/question/16608196
#SPJ1
is q=2p+1/2 proportional?
Answer:
Step-by-step explanation:
a(i) q = 2p + (1/2)
(ii) v = (1/10)u
(iii) t = 15d
(iv) m = 0.75d - 2
2p is added by the same constant so it's not proportional
7.You measure the diameter of a circular watch face
to be 3.2 centimeters. Estimate the area of the
watch face.
The estimated area of the circular watch face is: 8 cm².
How to Find the Area of a Circular Shape?The formula to use in determining or estimating the area of any shape that is circular is expressed as:
Area = πr², where the radius of the circular shape is represented as r.
Given the following:
Diameter of the circular watch face = 3.2 centimeters
The radius = 1/2(diameter) = 1/2(3.2)
Radius (r) = 1.6 centimeters
Plug in the value into πr² to find the estimated area of the watch face:
Area of the watch face = π(1.6²)
Area of the watch face ≈ 8 cm²
Therefore, the estimated area of the circular watch face is: 8 cm².
Learn more about the area of circle on:
https://brainly.com/question/12269818
#SPJ1
The graph represents the number of hours that Walter sleeps in terms of the number of days.
Graph shows a ray plotted in quadrant 1 of a coordinate plane with Days on X-axis, and Hours of Sleep on Y-axis. The ray begins at the origin and it extends upward, slanting right, through (2, 16) and (4, 24).
Which function represents Walter’s situation?
A.
y = 6x
B.
y = 6
C.
y = 8
D.
y = 8x
Answer:
I believe D is the answer to the question above.
Step-by-step explanation:
Answer: pretty sure its D
Step-by-step explanation: