Answer the following questions about the problem above. Write in complete sentences to get full credit.
1. What is the slope for section "b" of Mrs. Washington's commute.
2. What is the slope for section "c" of Mrs Washington's commute?
3. Explain the difference in "b" and "c" in context of Mrs. Washing driving home.
4. How far does Mrs. Washington live from her work?
Answers
Answer:
1. -1
2. -1/4
3. As the line nears closer to y = 0, Mrs. Washington is getting closer to her house. As such, the line represents miles driven per minute, representing speed. As the slope of the line becomes steeper, as it does during section B of the commute, Mrs. Washington is driving one mile per minute, or 60 miles per hour. As she drives through section C, she only drove 1 mile after 4 minutes, or 15 miles per hour.
4. She lives 20 miles from her office.
Step-by-step explanation:
1. You can find the slope for section B of the commute by taking two points in section B and using them to find the slope.
I will take (10, 13) and (14, 9) as my points.
You can use [tex]\frac{y2-y1}{x2-x1}[/tex] to find the slope:
[tex]\frac{13-9}{10-14} \\\\\frac{4}{-4}[/tex]
The slope for section b is -1.
2. You can find the slope for section C using the same method.
I will use the points (16, 7) and (20, 6):
[tex]\frac{7-6}{16-20} \\\\\frac{1}{-4}[/tex]
The slope for section c is -1/4.
3. As the line nears closer to y = 0, Mrs. Washington is getting closer to her house. As such, the line represents miles driven per minute, representing speed. As the slope of the line becomes steeper, as it does during section B of the commute, Mrs. Washington is driving one mile per minute, or 60 miles per hour. As she drives through section C, she only drove 1 mile after 4 minutes, or 15 miles per hour.
4. She lives 20 miles from her office. This is stated in the question itself.
Answer:
1. Speed = 1 mph
2. ¼ mph
3. She's driving at 4 times faster speed in b than c
4. 20 miles
Step-by-step explanation:
1. Slope of a distance time graph is the speed
(15-7)/(16-8)
8/8
1 mph
2. Speed = (7-6)/(20-16)
1/4 mph
3. Speed in b is greater than c
1 = 4(¼)
4. Distance from 20 to 0, is 20 miles
Related Questions
If d represents how many days are left in school this year,which inequality states we have at most 95 days?
Answers
Answer:
d ≤ 95
Step-by-step explanation:
The inequality that states we have at most 95 days is d≤ 95.
What is an inequality?A connection between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.
The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.
If d represents how many days are left in school this year.
And we have at most 95 days.
Then,
d can not be more than 95.
d ≤ 95
Therefore, the inequality is d ≤ 95.
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Maya scored 32 out of 40 for a Math's test and 41 out of 55 for a science's test. For which test did she score a lower percentage.
Answers
Answer:
He score lower on the 41 out of 55
Step-by-step explanation:
32/40 = .80 or 80%
41/55 = 0.75 or 75%
Answer:
Lower score in Science
Step-by-step explanation:
32/40 × 100 = 80%
41/55 × 100 = 74 6/12 %
Help...i dont know how to solve this
X^2- 64
Answers
Answer:
x = ±8
Step-by-step explanation:
X^2- 64
Set this equal to 0
x^2 -64 =0
Add 64 to each side
x^2-64+64 = 64+64
x^2 = 64
Take the square root on each side
x = ±sqrt(64)
x = ±8
Answer:
Step-by-step explanation:
a²-b²=(a+b)(a-b)
x²-64=x²-8²
=(x+8)(x-8)
What is the amplitude of the function below?
1
2
(pi)
2(pi)
Answers
Answer:
B. 2
Step-by-step explanation:
on Edg2020
Answer:
B. 2 got it right
Step-by-step explanation:
The distance from the center of a circulartrashcan to the edge of the trashcan is 15 inches.What is the area of the top of the trashcan?
Answers
Answer:
706.95in²
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder
Step one
The trash can has a cylindrical shape
The distance from the center to the edge is the radius r= 15in
Step two
Area of top (circular ) = πr²
A= 3.142*15²
A= 3.142*225
A= 706.95in²
PLEASE HELP ME!!! I ONLY HAVE 2 HOURS!!!
I am completing a color sheet for my math class. I have a set of markers with 2 purples, 1 black, 3 reds, 2 yellows, and 2 blues. What is the probability that I will randomly select a red marker, keep it, and then randomly select a yellow marker?
A. 47/90
B. 3/10
C. 1/15
D. 2/9
Answers
First, we have to add them all together to get the total amount of markers.
2 + 1 + 3 + 2 + 2 = 10
Red: 3/10
Yellow: 2/9
3/10 x 2/9 = 6/90
Simplify: 6/90 = 1/15
C. 1/15 would be your answer.
Hope this helps! Have a great day!
A computer is sold for a certain price and then its value changes exponentially over time.
The graph describes the computer's value (in dollars) over time (in years).
value (dollars)
500
400+
300+
5
200+
100+
time
(years)
0.5
1
1.5
2
2.5
3
3.5
How does the computer's value change over time?
Answers
Answer: the computer loses 50% of its value each year
Step-by-step explanation:
Which algebraic expression has like terms?
9 n cubed minus 2 n + 3 minus 4 n squared
7 n cubed + 3 n minus 3 minus 6 n squared
7 n cubed + 4 n minus 3 n cubed minus 5 n squared
6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Answers
Answer:
The answer is c I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I took test and got 100%
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below. Which statements about the function are true? Select three options. The vertex of the function is at (–4,–15). The vertex of the function is at (–3,–16). The graph is increasing on the interval x > –3. The graph is positive only on the intervals where x < –7 and where x > 1. The graph is negative on the interval x < –4.
Answers
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where x > 1
Step-by-step explanation:
The roots of this function are the values that make f(x) = 0. As the equation is already factored, we can see that the roots are x1 = 1 and x2 = -7
The x-coordinate of the vertix can be calculated as:
x_v = (x1 + x2)/2 = -6/2 = -3
So the first statement: "The vertex of the function is at (–4,–15)" is wrong.
The y_coordinate of the vertex is:
f(x_v) = (x_v - 1)*(x_v + 7) = (-3 -1) * (-3 +7) = (-4) * (4) = -16
So the second statemente: "The vertex of the function is at (–3,–16)" is correct.
for values of x greater than x_v = -3, the graph increases, as the equation represents a parabola with concavity upwards. So the third statement is correct.
As the roots are 1 and -7 and the concavity is upwards, the parabola have positive values for x<-7 and x>1. So the fourth statement is correct.
For values of x< -4, the parabola can have both positive or negative values (it has positive values for x < -7) so the fifth statement is wrong.
Answer:
B. The vertex of the function is at (–3,–16).
C. The graph is increasing on the interval x > –3.
D. The graph is positive only on the intervals where x < –7 and where
x > 1.
Solve tan^2 (x) + 3 = 0 for 0 ≦ x < 360∘
Express your answer in degrees. Select the appropriate response
A) 360
B) 180
C) 60
D) None of the above
Help please!!!
Answers
Answer:
d) none of the above
Step-by-step explanation:
correct me if wrong .
Final answer:
The equation tan^2(x) + 3 = 0 has no real solutions within the given range.
Explanation:
To solve the equation tan^2(x) + 3 = 0, we need to isolate the term with the tangent squared. Subtracting 3 from both sides gives us tan^2(x) = -3. Since the tangent function is positive for angles between 0° and 360°, it is not possible for the square of the tangent to be negative. Therefore, there are no real solutions to this equation, given the specified range of 0 ≦ x < 360°. So, the correct answer is (D) None of the above.
Complementary, Supplementary, Vertical, and Adjacent Angles
100 POINTS
Answers
Answer:
The first picture is A
The second picture is 21.8
The third picture is 20
The fourth picture is B
Step-by-step explanation:
4x + 8x = 180
12x = 180
x = 15
90 - 68.2 = 21.8
7x + 10 = 150
7x = 140
x = 20
Angle A = 63
180 - 63 = 117
Answer:
The first picture is A
The second picture is 21.8
The third picture is 20
The fourth picture is B
Step-by-step explanation:
hope this helps
I need help solving this and could you give me the answer this time thx 7(4p + 2q + 3r) =?
Answers
Answer:
Step-by-step explanation:
7(4p +2q +3r)= 7*4p + 7*2q + 7*3r
= 28p + 14q + 21r
Answer:
28p + 14q + 21r
Step-by-step explanation:
There you go hope that helps
Find the surface area of the prism. Write your answer as a decimal.
Answers
Answer:
1.5cm³
Step-by-step explanation:
Surface area of a prism = bh x 6
0.5 x 0.5 = 0.25 x 6 = 1.5
Answer:
1.5 cm
Step-by-step explanation:
a=6a^2
a=6(0.5)^2
a=6(0.25)
a=1.5 cm
Polynomials - Guided Notes 11.2
Part 1: Find the degree of the polynomial.
1. 3x + 2
2. 4x3 + 17x - 5
3. 13x" + 5xn-2
4. 0.55x2 + 0.7x
5. 7x3 + 10x + 15
Answers
Answer:
1. 3x + 2 - First degree
2. 4x3 + 17x - 5 - Third degree
3. 13x" + 5xn-2 - Second degree
4. 0.55x2 + 0.7x - Second degree
5. 7x3 + 10x + 15 - Third degree
Step-by-step explanation:
The degree of a polynomial is given by the highest power of the given variable (x in this case) in the polynomial. All the elements are considered in selecting the highest power of x in the polynomials.
Considering all; the highest degree of x in the polynomials given is 3 while the lowest is 1 hence we have polynomials ranging from the first to third degrees.
X/3 - 2 + 6 what is the answer
Answers
Answer:
[tex]\frac{x}{3}[/tex]+4
Step-by-step explanation:
I don't think it can be simplified more than that
Answer:
x= -12
Step-by-step explanation:
x/3 -2+6 =0
x/3 +4 =0
x/3 = -4
x/3 (3) = -4 (3)
x = -12
Need this answered today, will give brainliest: The Steelers are on the Cowboys’ fifteen-yard line. Use your place value mat or number line to calculate how
much farther the Steelers need to travel to score a touchdown.
Answers
Answer: 15 yards
Step-by-step explanation:
From the question, we have been informed that the Steelers are on the Cowboys' fifteen-yard line. Using the place value mat to calculate how much farther Steelers need to travel to score a touchdown goes thus:
Since the play is 15 yards from the Cowboys end-zone, therefore Steelers need to travel 15 yards for them score a touchdown.
Final answer:
The Steelers are 85 yards away from the end zone.
Explanation:
To calculate how much farther the Steelers need to travel to score a touchdown, we need to know the distance from the Cowboys' fifteen-yard line to the end zone. The distance between each yard line on a football field is 10 yards. Since the Steelers are on the fifteen-yard line, they are 85 yards away from the end zone (100 yards - 15 yards = 85 yards).
The Smiths spend 10% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $5,000 on entertainment. What was their total budget last year?
Answers
Answer:
$47,000
Step-by-step explanation:
Let u represent the unknown amount of budget
10/100× u = $5000
10u/100=$5000
Cross multiply both sides
10u= $500000
Divide both sides by the coefficient of u
10u/10=$500000/10
u= $50000
Therefore, this year's budget is $50000
Since Smith's budget this year is $3000 greater than last year's budget, to find last year's budget we simply subtract the difference from this year's budget.
$50000- $3000
= $47000
Thus, Smith's total budget for last year was $47000.
Answer: $47,000
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
Their total budget this year is $3,000 more than last year, so we have to add 3000 to their total budged of last year (x). x+3000
Since they spend 10% of their budget on entertainment, we have to multiply the previous expression by the percentage in decimal form (divided by 100).
(x +3000) 10/100 = (x+3000) 0.1
Finally, that expression must be equal to the amount that they will spend in entertainment this year (5000).
(x + 3000) 0.1 =5000
Solving for x:
x+3000 = 5000/0.1
x +3000= 50,000
x = 50,000-3,000
x = $47,000
Feel free to ask for more if needed or if you did not understand something.
The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?
Answers
Answer:
The ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3
Step-by-step explanation:
The height of a right circular cylinder is 1.5 times the radius of the base.
Let the radius of base be x
So, Height of a right circular cylinder = 1.5x
Total surface area of cylinder =[tex]2 \pi r h + 2 \pi r^2 = 2 \pi r(h+r)=2 \pi \times x(x+1.5x)=2 \pi \times x \times 2.5x[/tex]
Curved surface area of cylinder = [tex]2 \pi rh = 2 \pi \times x \times 1.5 x[/tex]
So, Ratio of the total surface area to the lateral (curved) surface area of the cylinder = [tex]\frac{2 \pi \times x \times 2.5x}{2 \pi \times x \times 1.5 x}=\frac{2.5}{1.5}=\frac{25}{15}=\frac{5}{3}[/tex]
Hence the ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3
f an investor puts $1500 dollars into an account at an annual rate of 4.8% interest compounded twice a month, how much will they have after two years?
Answers
Answer:
They will have $1651 after two years.
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
$1500 dollars into an account at an annual rate of 4.8%
This means that [tex]P = 1500, r = 0.048[/tex]
Interest compounded twice a month.
A year has 12 months.
So 12*2 = 24 compundings, which means that [tex]n = 24[/tex]
How much will they have after two years?
This is A(2).
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(2) = 1500(1 + \frac{0.048}{24})^{24*2} = 1651[/tex]
They will have $1651 after two years.
Help me with the two again
Answers
Part A:
s = k + 4
Part B:
s = 13 + 4
s = 17
Therefore, Sylvia's age is 17 when Katie is 13.
If circle A has a radius of 4.7 cm, what is the diameter?
Answers
Answer:
7.4cm
Step-by-step explanation:
diameter =2radius
=2×4.7
=7.4cm
The diameter of circle A with a radius of 4.7 cm is 9.4 cm.
Explanation:To find the diameter of a circle, you can use the formula: diameter = 2 * radius. Given that circle A has a radius of 4.7 cm, the diameter would be 2 * 4.7 = 9.4 cm.
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Find the measure of y.
A.85
B.102
C.122
D.138
Answers
Answer:
102
Step-by-step explanation:
If f(x) = − 5, what is f(8.6)? 3 4 8 9
Answers
Answer:
B or 4
Step-by-step explanation:
When you go to the store, does tax increase or decrease the cost of your items?
Answers
yes because you have to pay more it's tricky
A college president says, "More than two-thirds of the alumni support my firing of Coach Boggs." The president's statement is based on 200 emails he has received from alumni in the past three months. The college's athletic director wants to perform a test of H0: p = ⅔ versus Ha: p > ⅔, where p = the true proportion of the college's alumni who favor firing the coach. Check if the conditions for performing the significance test are met. Random? No, volunteer response sample
A. Random? No, volunteer response sample Large Counts? Yes
B. Random? Yes Large Counts? fails
C. Both fails
D. Random? Random sample of 100 students Large Counts? np0 = 100(0.13) = 13 ≥ 10 and n(1-p0) = 100(0.87) = 87 ≥ 10
Answers
Which correctly compares 4.06 and 4.6?
A) 4.6 < 4.06
B) 4.6 = 4.06
C) 4.06 > 4.6
D) 4.06 < 4.6
Answers
Answer:
B is your answer
Step-by-step explanation:
Final answer:
The correct comparison is that 4.06 is less than 4.6 because when looking at the decimal parts, '0.6' (4.6) is greater than '0.06' (4.06).
Explanation:
To compare the numbers 4.06 and 4.6, we need to look at the decimal parts, since the whole number part (4) is the same for both. In the number 4.06, the decimal part is '06', which is actually '0.06' when read as a fraction of the whole number. On the other hand, 4.6 has a decimal part of '6', which is '0.6' as a fraction of the whole number. When comparing '0.6' and '0.06', it is clear that '0.6' is larger because '6' tenths is greater than '6' hundredths.
Therefore, the correct comparison between 4.06 and 4.6 is 4.06 < 4.6, which corresponds to option D in the question.
A 10 meter flag pole casts a shadow 5 meters long. How long will the shadow be if the flag pole is 15 meters tall
Answers
Answer:
7.5 meters long
Step-by-step explanation:
10/2 = 5
15/2 = 7.5
The shadow is half as long as the pole.
hope this helps :)
Answer:
7.5 meters
Step-by-step explanation:
Actual : shadow
10 : 5
15 : X
10/5 = 15/X
X = 15 × 5/10
X = 7.5
Which angle is congruent to angle AGC
Answers
What is the y-intercept when f(0)=6^0
Answers
Answer:
(0,1)
Step-by-step explanation:
Any real number to the power of 0, including 6, is equal to 1. Therefore, f(0) is 1, and the y intercept is (0,1). Hope this helps!
what is 32.5 cents as a decimal
Answers
Answer:
32.5
Step-by-step explanation:
its a trick question