A jeepney ride cost 11 pesos for the first 4 kilometers and each additional integer kilometers adds 3.50 pesos to the fare, use a piece-wise function to represent the jeepney fare in terms of the distance f(d) in kilometers.
Answer:
[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for} & 0< d\leq 4 \\-3+3.5d & \text{for}& d > 4 \end[/tex]
Step-by-step explanation:
Cost of first 4 kilometers ride = 11 pesos.
So, for the first 4 km, the fair is constant i.e.
for 1 km the fare is 11 pesos,
for 2 km the fair is also 11 pesos,
similarly, for 3 km of 4 km, the fare is 11 pesos.
Hence, for the distance [tex]0\geq d\geq 4[/tex], the fair function,
[tex]f(d)=11\cdots(i)[/tex]
After 4 km, there is an increment of $ 3.50 for each kilometer.
So, the fare function up to 5 kilometers,
[tex]f(d)=11+3.5=14.5[/tex]
So, the fare function up to 6 kilometers, i.e for the distance [tex]5<d\leq6[/tex],
[tex]f(d)=11+2\times3.5=18[/tex]
This can be arranged as the fare function up to 6 km,
[tex]f(d)=11+(6-4)\times3.5=18[/tex]
Similarly, the fare function up to [tex]d[/tex] kilometer [tex](n>4)[/tex],
[tex]f(d)=11+(d-4)\times3.5[/tex]
[tex]\Rightarrrow f(d)=-3+3.5d\cdots(ii)[/tex]
Hence, from equations (i) and (ii),
[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for}\; 0< d \leq 4 \\-3+3.5d & \text{for}\; d > 4 \end[/tex]
When 12 is divided by 2/3 which statement about the quotient is true?
The statement when 12 is divided by 2/3 has no remainder is true.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, 12 is divided by 2/3 which is,
= (12)/(2/3).
= 12×(3/2) (we can flip the divisor to make it a multiplier)
= 36/2.
= 18.
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What is the answer 2x3-5+7=
Answer:
300000000
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Hope this helps :)
Brainest pls?
use a number line to solve the sum
2+5
Answer:
"7" Would be your answer.
Step-by-step explanation:
5 1/3% is equal in fraction to 4/75 true or false
NEED HELP ASAP PLEASE!!!!
The frequency tables below show the amount of weight loss during the first month of a diet program for both males and females. Identify the graph that shows the corresponding frequency polygons.
Answer: did you get the answer ?
Step-by-step explanation:
2) Martha cut three pieces of rope that are 5 1/4 inches each from a rope that is 20 inches
long. What is the length of the remaining part of the rope?
Help me please
Answer:
Step-by-step explanation:
Total length of the rope = 20 inches.
Martha cuts 3 pieces of rope that is 5 1/4 inches each.
Find the total length of the 3 pieces of rope:
Total of 3 pieces of rope = 5 1/4 + 5 1/4 + 5 1/4 = 15.75
Since we know the total rope length is 20 inches, if you subtract the total length of the 3 pieces of rope you will get the remaining length of rope.
Remaining length = 20 - 15.75
= 4.25 inches of rope
When do we use inequalities?
Answer: In math but if u mean “irl” they use it in business like how much is in there inventory (stock) and the price stock they can make to get an profit and etc.
Step-by-step explanation:
multiply
3 2/5 x 2 1/3
Answer:
in simplest form its 119/15 but in a different form its 7 14/15
Step-by-step explanation:
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
Answer:
Step-by-step explanation:
1 pair of wings = 3/4 yard fabric
We know that 1 yard of fabric = $8
1 pair of wings = $8 x 3/4 = $6
Therefore total cost = $6 x 13 = $78
The total cost of the fabric is $ 78
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pairs of butterfly wings = 13 pairs
The amount of fabric used in 1 pair of butterfly wings = 3/4 yards
The cost of 1 yard of fabric = $ 8
Now , the equation will be
The cost of 3/4 yard of fabric = 3/4 x cost of 1 yard of fabric
= 3/4 x 8
= 3 x 2
= $ 6
Now , the equation is
The total cost of fabric for 13 pairs of butterfly wings =
13 x cost of 3/4 yard of fabric
The total cost of fabric for 13 pairs of butterfly wings = 13 x 6
= $ 78
Therefore , the cost is $ 78
Hence , The total cost of the fabric is $ 78
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An industrial/organizational psychologist is consulting with Family Practice Pediatrics, which has just lost several of its best doctors to a rival pediatric practice. The management at Family Practice would like to know what it can do to increase job satisfaction for its remaining pediatricians. The psychologist is trying to determine whether significant information will be lost if she surveys a subset rather than every single pediatrician at Family Practice.
The following table lists the job satisfaction scores for all eight pediatricians at Family Practice as well as four examples of possible four-pediatrician samples. At the bottom of the table, the variance listed in the second column for all eight pediatricians is the population variance for the eight pediatricians (that is, sigma^2 = SS/N = SS/8). The variances listed in the third through the sixth columns are the sample variances for each of the four-pediatrician samples (that is, s^2 = SS/(n - 1) = SS/3).
Pediatrician Satisfaction Sample 1 Sample 2 Sample 3 Sample 4
A 5 x x x
B 6 x x x x
C 8 x x x
D 3 x
E 7 x x
F 2 x
G 8 x x
H 9
Mean 6.00 6.75 6.50 5.25 6.00
Variance 5.50 2.25 1.67 6.25 4.67
What is the mean of the four sample means?
What is the mean of the four sample variances?
A sample statistic is_______ if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter.
A sample statistic is_______ if it consistently underestimates or overestimates the corresponding population parameter.
A sample mean (that is, M = sigma X/n) is_________ estimator of the population mean. A sample variance that is computed as s^2 = SS/(n - 1) is estimator of the population variance.
Complete Question
The complete question is shown on the first uploaded image
Answer:
What is the mean of the four sample means is [tex]\= x = 6.125 [/tex]
What is the mean of the four sample variances is [tex]\= x_v = 3.71[/tex]
A sample statistic is an unbiased point estimator if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter.
A sample statistic is biased if it consistently underestimates or overestimates the corresponding population parameter.
A sample mean (that is, M = sigma X/n) is unbiased estimator of the population mean
A sample variance that is computed as s^2 = SS/(n - 1) is unbiased estimator of the population variance.
Step-by-step explanation:
From the question we are told that
Mean 6.00 6.75 6.50 5.25 6.00
Variance 5.50 2.25 1.67 6.25 4.67
Generally the mean of the four sample means is mathematically represented as
[tex]\= x = \frac{6.00+ 6.75 + 6.50 + 5.25 + 6.00}{4}[/tex]
=> [tex]\= x = 6.125 [/tex]
Generally the mean of the four sample variances is mathematically represented as
[tex]\= x_v = \frac{5.50+ 2.25+ 1.67+ 6.25 +4.67}{4}[/tex]
=> [tex]\= x_v = 3.71[/tex]
Lines m and n are parallel. What is
Answer:
Line m and m is a straight line
Each student was asked to create an expression whose quotient is 1/3. each student and the response can be seen on table below.
Answer:hi I believe is is Ben and Elizabeth
Step-by-step explanation:
The two-way table below describes the car rental habits of sales representatives attending a conference.
What percentage of representatives staying at least two nights rented a car?
20%
44%
55%
79%
Answer:
44 bro
Step-by-step explanation:
The percentage of representatives staying at least two nights rented a car is 44%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Given is a two way table.
From the table, the number of representatives staying at least 2 nights rented a car is 11.
Total number of representatives staying at least two nights = 14 + 11 = 25
Percentage = (11 / 25) × 100
= 0.44 × 100
= 44%
Hence the percentage for the required number is 44%.
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how to rotate a triangle 90 dagrees clockwise?
Answer:
Turn it 90 degrees left or right, basically turn it left or right until it is sideways
What's the answer please
Answer:
A. (3V/B) = h
Step-by-step explanation:
V = (1/3)Bh
3V = Bh
(3V/B) = h
2
In science class, Graciela noticed that the balance scale showed 2 ounces for a sample of matter and 56.7
grams for the same sample. She has a rock that weighs 708.75 grams but needs to know the weight in
ounces. Which proportion could Graciela use to find x, the weight of the rock in ounces?
rls, what
F
56.7
708.75
2
56.7
2 2.
56.7
78.75
708.75
H
2
708.75
56.7
y mile
J
708.7
2
56.7
Answer:
Step-by-step explanation:
If the scale showed 2 ounces for a sample of matter and 56.7grams for the same sample, then;
2 ounces = 56.7grams
If She has a rock that weighs 708.75 grams but needs to know the weight in
ounces, we can say;
x ounces = 708.75grams
Combining both equality postulates
2 ounces = 56.7grams
x ounces = 708.75grams
Cross multiply
56.7 × x = 2 × 708.75
x = (2 × 708.75)/56.7
The proportion is (2 × 708.75)/56.7
Calculate x:
x = 1417.5/56.7
x = 25
Hence the weight of the 708.75g rock in ounces is 25ounces
Даны векторы "а" ⃗ (10;2)и "b" ⃗ (1;-1). Выполните действие над векторами:
а) 0,5"а" ⃗+ 5b ⃗
б) "а" ⃗- b ⃗
в) "а" ⃗+ b ⃗
применяет правила сложения векторов
применяет правила вычитания векторов
применяет правило умножения вектора на число
СРОЧНО ПЖ СОР
Answer:
he is the number of people
A man's age today is 2 years more than three time the age his son will be in 5 years from now. if a represent the age of the son write an expression to find the age of the man today
Answer:
3a*5 = (age of man) +2
Step-by-step explanation:
in the real world humans hear sound as an analog signal. this means the signal is a continuous waveform which is completely processable by human ears. however machines 'hear' sound a little differently as they process sound digitally which is a discrete waveform. when sound is recorded or transmitted electronically the continuous (analog) waveform is sampled to convert it to a discrete (digital) sequence. sampling is the process of reducing a continuous time signal to a discrete-time signal. as the sampling rate increases the sound quality of the recording or transmission will improve. the graphs below represent two different samples of pure tone. sample one is taken 8 times per unit of time. sample two is taken 16 times per unit of time. a) why would sample 2 reproduce a better replication of the pure signal? b) write a sinusoid model for sample 2
Answer:
y=7.75cos(pi/8(x)) + 7.75
Step-by-step explanation:
A= 15.5 - 0 = 15.5/2 = 7.75 (Max Y - Min Y)
P = 16-0 (Distance between Max x and next Max x)
F= Pi/8
Midline= 7.75
Vertical Shift = Midline = 7.75
Answer for A since the other person answered only B
Sample 2 would reproduce a better replication of the pure signal because it records more frequently, meaning that it would be closer to being a continuous waveform when compared to sample 1.
A trail mix recipe includes granola, oats, and almonds. How many Calories are in 2 cups of trail mix?
Answer:
1,080 calories
Step-by-step explanation:
You can also use the method of direct proportion:
cups
calories
=
0.25
135
=
2
x
←
cross-multiply
0.25
x
=
135
×
2
x
=
135
×
2
0.25
x
=
1080
calories
Answer:
1,080 calories.
Step-by-step explanation:
135/1 ÷ 1/4
135/1 · 4/1
= 540/1 cup
540 calories · 2 = 1,080 calories
=1,080 calories in 2 cups of trail mix
what is the slope of the line
Use the word SCHOOL to answer this question.
If the letters of this word were written on paper and then cut into squares with one letter
per square, what is the probability of this event?
P(consonant)
1
3
1
2
1
6
2
3
Answer:
2/3
Step-by-step explanation:
4/6 * 100% = 66.66% = 2/3
Simplify the expressions by distributing and combining like terms 5/8x-2(7-1/4x)
The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.
1.What is the phase shift, h, of this curve?
2.What is the vertical shift, k, of this curve?
3.What is the amplitude, a, of this curve?
4.What is the period and the frequency factor, b, of this curve?
5.Write an equation using the cosine function that models this data set.
Answer:
A.) phase shift is h=6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y= -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x-6))-21
Step-by-step explanation:
Find your minimum and maximum values. This would help you find the amplitude and the vertical shift. To find amplitude, the formula is A= (absolute value) of the max minus the min and divide by 2. To find vertical shift, you add the max and min values and divide by 2. The period is the distance of the max and min values and then doubled. The distance was 8 units so the period was 16. To find frequency factor, just plug in your values. You know that the formula is Period= 2pi/b. So it would be 16= 2pi/b. The frequency factor should be pi/8 after you cross multiply and then divide. To write the equation, you substitute the values into the equation of acos(b(x-c))+d. Make sure to put parentheses or else the graph will look wrong.
need help..................
Answer:
The answer is D
Step-by-step explanation:
(4x6)^3
(24)^3=13,824
when you multiply 4^3 with 6^3 you get the same answer of 13,824
Answer:
Answer=D
Step-by-step explanation:
(for powers outside a bracket it splits in the numbers inside the bracket)
(4×6)^3
=([tex]4^{3}[/tex]×[tex]6^{3}[/tex]) as in D
To proof
-if we multiply them first we will get 24 and that to the power of three will equal to 13824.
-if we did as in the answer so,
[tex]4^{3}[/tex]×[tex]6^{3}[/tex]
=64×216
=13824
they are equal to each other 13824=13824 so answer D is correct.
Determine the degree of the polynomial.
8a9 – 2a + 1
Answer:
Determine the degree of the polynomial.
8a9 – 2a + 1
Step-by-step explanation:
8a9 – 2a + 1
A car rental company charges a daily rate of $ 23 plus $ 0.20 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $ 44.00. How many miles did you drive?
Answer: 105 miles
(44-23)/0.20
Help ! This is a different one
Answer:
[tex]this \: probability \: is \: \frac{8}{10} = \frac{4}{5} [/tex]
Answer:
B. 4/5
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Can any repeating decimal can be written as a fraction or a mixed number? Only a true or false is needed.
Answer:
True
Step-by-step explanation: