You are riding the bus to school and you realize it is taking longer because of all the stops you are making. The time it takes to get to school, measured in minutes, is modeled using the function g(x) = x4 − 3x2 + 4x − 5, where x is the number of stops the bus makes. If the bus makes 2 stops after you board, how long does it take you to get to school?
1 minute
3 minutes
7 minutes
11 minutes
Answers
Answer:
7 minutes
Step-by-step explanation:
Start with a formula-
g(x) = x^4 - 3x^2 + 4x - 5
Substitute x with the number of stops (2)
g(2) = 2^4 - 3(2^2) + 4(2) - 5
Simplify using p.e.m.d.a.s (start with exponents)
g(2) = 16 - 3(4) + 4(2) - 5
Multiply
g(2) = 16 - 12 + 8 - 5
Subtract or Add
16 - 12 = 4
4 + 8 = 12
12 - 5 = 7
input: 2
output: 7
ordered pair: (2,7)
Hopefully, this helps!
Related Questions
A local screen-printing company sells T-shirts at various prices, in dollars, depending upon how many T-shirts are bought at the time. The piecewise function below represents their pricing structure, where n is the number of T-shirts purchased. The school volleyball team purchased 20 shirts.
How much did the volleyball team spend on shirts?
$480
$180
$220
$260
Answers
Answer:
i think it’s 260 too^^
Step-by-step explanation:
The total Amount Spent by the volleyball team spend on shirts from the given piecewise function is; $260
How to work with Piecewise Function?
From the given piecewise function, we see that;
y = {13n, 0 < n ≤ 20
y = {11n, 20 < n ≤ 50
y = {9n, n > 50
We are told that the volleyball team purchased 20 shirts.
From the first piecewise function, we can deduce that;
Amount Spent = 13n = 13 * 20
Amount Spent = $260
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Write the algebraic expression without parentheses. - (- 7 + 7 y) 7 + 7y 7 - 7y -7 + 7y 49y
Answers
the answer is 7-7y i think if not the it should be 7+7y
(90 POINTS SHOW YOUR WORK!!!) Determine the equation of the line that goes through points (-2, 1) and (1, -1)
Answers
Answer:
we have
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-1)/(x--2)=(-1-1)/(1--2)
(y-1)/(x+2)=(-2)/3
3(y-1)=(-2(x+2))
3y-3=-2x-4
2x+3y-3+4=0
2x+3y+1=0 is a required equation
What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches
Answers
Answer:
The answer is
36π cubic inchesStep-by-step explanation:
Volume of a sphere is given by
\(V = \frac{4}{3} \pi {r}^{3} \)where r is the radius
From the question
r = 3 inches
Substitute the value into the above formula and solve for the volume
That's
\(V = \frac{4}{3}( {3})^{3} \pi \\ = \frac{4}{3} \times 27\pi \\ = 4 \times 9\pi\)We have the final answer as
36π cubic inchesHope this helps you
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
Answers
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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am I right for part A. And please help me with B
Answers
a) The radius of the sphere is given as follows: 27.13 ft.
b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.
How to obtain the surface area?The surface area for a sphere of radius r is given by the equation presented as follows:
S = 4πr².
The surface area for this problem is given as follows:
9244 ft².
Hence the radius is given as follows:
\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)
r = 27.13 ft.
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There are vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%.
Frequency Table
Color
Type of Vehicle
Car
Truck
Total
Blue
Red
Total
Question content area bottom
Part 1
Complete the table.
Row Relative Frequency Table
Color
Type of Vehicle
Car
Truck
Total
Blue
enter your response here%
enter your response here%
100%
Red
enter your response here%
enter your response here%
100%
Total
enter your response here%
enter your response here%
100%
Answers
Answer:
you su ck hah lol
Step-by-step explanation:
ez
For what values of a are the following expressions true?
|a-5|=5-a
Answers
Answer:
this expression is true for all values of a.
Step-by-step explanation:
So if the expression is:
a - 5 = 5 - a
For this reason:
2a = 10
a = 5
a - 5 = -5 + a
0 = 0
Six students write an exam. The average score obtained on the exam by the group of students is 71%. If the first two students each obtained a mark of 73%, while the next three students each obtained a mark of 68%, what was the mark obtained by the sixth student?
Answers
The first two students obtained a mark of 73%, which gives us a total of 73 + 73 = 146 marks.
The next three students obtained a mark of 68% each, which gives us a total of 68 + 68 + 68 = 204 marks.
The average score obtained by the group is 71%. Since there are six students, the total marks obtained by all six students would be 6 * 71 = 426 marks.
To find the mark obtained by the sixth student, we can subtract the total marks obtained by the first five students from the total marks obtained by all six students: 426 - (146 + 204) = 76 marks.
Therefore, the mark obtained by the sixth student is 76%.
At its closest distance, the moon is approximately 3.6 × 105 km from Earth. Mars, at its closest distance, is approximately 5.57 × 107 km from Earth. How much farther is the distance from Earth to Mars than from Earth to the moon? Express your answer in scientific notation.
Answers
Answer:
The answer is 5.534 x107km
Step-by-step explanation:
the answer is;ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
A pizza was divide
into 12 slices. Kesh
ate 2 slices. Jorge
ate 3 slices. What
fraction of the pizza
was left over?
Answers
Total number of slices = 12
No. of slices eaten by Kesh = 2
No. of slices eaten by Jorge = 3
No. of slices left
= Total number of slices - (No. of slices eaten by Kesh + No. of slices eaten by Jorge)
= 12 - (2 + 3)
= 12 - 5
= 7
Fraction of the pizza left
= No. of slices left/Total number of slices
= 7/12
Answer: 7/12
Find the total amount of pizza eaten.
Kesh = 2 slices
Jorge = 3 slices
Total eaten: 5/12
Subtract 5/12 from 12/12.
12/12 - 5/12 = 7/12
Answer = 7/12
Hope this answer helped!
I WILL MARK BRAINLIST
Question 3
Answers
Answer:
A)yes. they are congruent. A rotation of 90
Step-by-step explanation:
hope dis helps
Help with this question
Factor: m- 81
Answers
Answer:(x+9)(x−9)
Step-by-step explanation:
What is the rational function?
Answers
If a polynomial can be expressed as a polynomial divided by a polynomial, that function is deemed rational. x is 3, the sole zero in the denominator.
A rational function can be found in what way?The numerator and denominator degrees are frequently used to distinguish rational functions.If a polynomial can be expressed as a polynomial divided by a polynomial, that function is deemed rational. A rational function's domain is the collection of all numbers except the zeros in the denominator since polynomials are defined everywhere. f(x) Equals x in Example 1. (x - 3). x = 3, the sole zero in the denominator.Whenever the denominator polynomial is not equal to zero, a rational function is the ratio of two polynomial functions. R(x) = P(x)/Q(x) is a common representation, with P(x) and Q(x) being polynomial functions.To learn more about rational function refer to:
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Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
Answers
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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the three data sets show the number of text messages sent by jada, and diego, and lin over 6 days. one of the data sets has a mean of 4, one has a mean of 5, and one has a mean of 6.
1. which data set has which mean? what does this tell you about the text messages sent by the three students?
2. which data set has the greatest variabillity? Explain
Answers
1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.
2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
Question 1.
In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;
Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6
Mean number of text for Jada = 30/6
Mean number of text for Jada = 5.
Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6
Mean number of text for Diego = 36/6
Mean number of text for Diego = 6.
Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6
Mean number of text for Lin = 24/6
Mean number of text for Lin = 4.
Question 2.
In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;
Standard deviation = √(1/n × ∑(xi - u₁)²)
Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]
Standard deviation for Jada = √(6/6) = 1
Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]
Standard deviation for Diego = √(14/6) = 1.53
Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]
Standard deviation for Lin = √(76/6) = 3.6
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
Answers
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that the amount of the cucumber follows the normal distribution. 1- What percentage of a cucumber give the crop amount between 778 and 834 kg? 2- What the probability of cucumber give the crop exceed 900 kg ?
Answers
Answer:
a
The percentage is
\(P(x_1 < X < x_2 ) = 51.1 \%\)
b
The probability is \(P(Z > 2.5 ) = 0.0062097\)
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 800\)
The variance is \(var(x) = 1600 \ kg\)
The range consider is \(x_1 = 778 \ kg \ x_2 = 834 \ kg\)
The value consider in second question is \(x = 900 \ kg\)
Generally the standard deviation is mathematically represented as
\(\sigma = \sqrt{var (x)}\)
substituting value
\(\sigma = \sqrt{1600}\)
\(\sigma = 40\)
The percentage of a cucumber give the crop amount between 778 and 834 kg is mathematically represented as
\(P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )\)
Generally \(\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)\)
So
\(P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )\)
\(P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)\)
From the z-table the value for \(P(z_1 < 0.85) = 0.80234\)
and \(P(z_1 < -0.55) = 0.29116\)
So
\(P(x_1 < X < x_2 ) = 0.80234 - 0.29116\)
\(P(x_1 < X < x_2 ) = 0.51118\)
The percentage is
\(P(x_1 < X < x_2 ) = 51.1 \%\)
The probability of cucumber give the crop exceed 900 kg is mathematically represented as
\(P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )\)
substituting values
\(P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )\)
\(P(X > x ) = P(Z >2.5 )\)
From the z-table the value for \(P(Z > 2.5 ) = 0.0062097\)
Find the measure of XY.
Y
●
74°
N
X
Answers
Check the picture below.
what is 473.2608 rounded to the nearest tenth
Answers
Answer:
473.2608 rounded to the nearest tenth Is 473.3
Step-by-step explanation:
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
Answers
Work Shown:
A = area of bottom rectangular face = 10*5 = 50
B = area of back rectangular face = 12*10 = 120
C = area of slanted front rectangular face = 13*10 = 130
D = area of left triangle = 0.5*base*height = 0.5*5*12 = 30
E = area of triangle on right = 0.5*base*height = 0.5*5*12 = 30
S = total surface area
S = A+B+C+D+E
S = 50+120+130+30+30
S = 360
In 10 tosses of seven coins, the numbers of heads were 2, 6, 2, 2, 5, 3, 5, 3, 3, 4. If the observations are denoted by Y1, Y2, Yn:
a. What is the value of n?
b. What is the value of Y2?
c. What is the value of Y7?
d. For what values of i does Y = 2? 3? 4?
e. Distinguish between Yi-1 and Yi – 1.
f. What do Yi-1 and Yi – 1 equal for i = 2?
g. Write the observations as a vector.
Answers
Answer: a. The value of n is 10, as there are 10 tosses of seven coins.
b. The value of Y2 is 6, as the number of heads in the second toss is 6.
c. The value of Y7 is 3, as the number of heads in the seventh toss is 3.
d. For i = 1, 2, 3, 4, the value of Y is 2. For i = 5, 8, the value of Y is 3. For i = 6, 9, 10, the value of Y is 4.
e. Yi-1 refers to the observation made in the previous toss (i-1), whereas Yi – 1 refers to the observation made in the current toss (i) minus 1.
f. Yi-1 = Y1 = 2 and Yi – 1 = Y2 – 1 = 6 – 1 = 5 for i = 2
g. The observations can be written as a vector Y = (2, 6, 2, 2, 5, 3, 5, 3, 3, 4)
Step-by-step explanation:
Brian visited a mountain park with trails for hiking, mountain biking, horseback riding, and cross-country skiing. The chart shows the time Brian spent doing each activity.
A 2-column table with 4 rows titled Brian's Activity time (hours). Column 1 has entries hiking, mountain biking, horseback riding, cross-country skiing. Column 2 has entries 3, 1. 45, 1. 2, 0. 75.
Brian biked the yellow trail loop that circles the park. He rode at an average speed of 12. 2 miles per hour. How many miles did Brian bike?
12. 2
× 1. 45
610
4880
+_(___)_
Brian biked a distance of
miles.
Answers
Brian biked the yellow trail loop that circles the park. He rode at an average speed of 12. 2 miles per hour. Brian moves 17.69 miles with bike.
Average Speed:
Average speed is calculated by dividing the total distance an object has traveled by the total time it took to travel that distance.
Velocity is the speed at which something is moving at a given instant. Average speed measures the average speed over the entire trip. Average speed is commonly applied to vehicles such as cars, trains, and airplanes. It is often measured in miles per hour (mph) or kilometers per hour (km/h).
Activity time (hours) :
Activity - - - - - - - - - - - - - time (hours)
Hiking - - - - - - - - - - - - - - - - - - - - 3
Mountain biking - - - - - - - - - - - 1.45
Horseback riding - - - - - - - - - - 1.2
Cross-country skiing - - - - - - - - 0.75
Average speed = 12.2 miles per hour.
How many miles did Brian bike can move:
We know that:
Speed = distance ÷ time
Rearranging the above formula:
Distance = speed × time
Speed = 12.2 mi/hr
biking time = 1.45 hours
Distance (mountain biking) = 12.2 × 1.45 = 17.69 miles
Therefore,
Brian moves 17.69 miles with bike.
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A farm covers an area of 13square mile. The farm is divided into 4 equal sections, as shown in this diagram.
Answers
Answer: xd O.o rawr lmasos
Step-by-step explanation:
T^T
Which inequality represents all possible solutions of - 12d > -6?
A. s< - 1/2
B. d> - 1/2
C. d<1/2
D. d >1/2
Answers
d ≥ \(\frac{1}{2}\) is the inequality represents all possible solutions of - 12d > -6.
What is inequality?"The relationship between two values that are not equal is defined by inequalities."
Given inequality
-12d > -6
⇒ d > \(\frac{-6}{-12}\)
⇒ d > \(\frac{1}{2}\)
Hence, d > \(\frac{1}{2}\) is the inequality represents all possible solutions of - 12d > -6.
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Please help this is due in 30 minutes!
So work please
I need help with 15-20
Don’t answer with a blank, one answer or ridiculous answer. This is serious please
Answers
Answer:
a is 31 b is 38 x is 133. Y is 47
Step-by-step explanation:
A is 31 because the other side is 31. we know the sides are the same because of the markings. B is 38 because the other side is 38 we know that because of the markings which mean its the same. X is 133 Y should be 47 because ALL ANGLES IN A QUADRILATERAL IS EQUAL TO 360. 133+133=266 360-266 is 94. 94 is for both angles so we need to divide by 2 the answer for Y is 47
... Helppppp!! will mark brainiest
Answers
Answer: The answer is C
Step-by-step explanation:
C is the answer because the base is +2 and the coefficent is 1/2 which is rise over run so you go up one space and to the right two spaces.
Answer the question in the picture please and if you don't know please just don't answer it <3
Answers
9514 1404 393
Answer:
340 quarters1020 dimes1031 nickels2062 penniesStep-by-step explanation:
x is the number of quarters
__
a) d = 3x . . . . . . the number of dimes is 3 times the number of quarters
b) n = d + 11 = 3x +11 . . . . there are 11 more nickels than dimes
c) p = 2n = 2(3x +11) = 6x +22 . . . . there are twice as many pennies as nickels
d) The total number of coins is ...
x + d + n + p = 4453
x + (3x) +(3x +11) +(6x +22) = 4453
13x +33 = 4453
13x = 4420
x = 4420/13 = 340 . . . . number of quarters collected
3x = 1020 . . . . . . . . . . . .number of dimes collected
1020 +11 = 1031 . . . . . . . number of nickels collected
2·1031 = 2062 . . . . . . . . number of pennies collected
There were 340 quarters, 1020 dimes, 1031 nickels, and 2062 pennies collected.
_____
Check
340 +1020 +1031 +2062 = 4453 . . . as required
You want to buy some rice. A 7-ounce package costs $2.59. A 16-ounce package costs $5.60. A 24-ounce package costs$9.36. Which package is the best buy?
Answers
Answer:
Thanks
Step-by-step explanation:
Thanks
i don't understand how to do this.. can someone help, please
Answers
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
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