Step-by-step explanation:
Calculate their speed to see who rode faster.
Speed = Distance ÷ Time
Change the unit from minutes to hours so that the answers are in km/h.
Becky's speed
[tex] = 8 \div \frac{15}{60} [/tex]
[tex] = 8 \div 0.25[/tex]
= 32 km/h
Scott's speed
[tex] = 12 \div \frac{25}{60} [/tex]
[tex] = 12 \div 0.41666...[/tex]
= 28.8 km/h (rounded to the nearest tenth)
∵ 32 km/h > 28.8 km/h
∴ Becky rode faster.
Describe the end behavior of the graph of the function.
hx()=−3x4+4x3+10x2−8x+7
a.hx()→−∞as x→−∞and hx()→−∞as x→∞
b.hx()→−∞as x→−∞and hx()→∞as x→∞
c.hx()→∞as x→−∞and hx()→−∞as x→∞
d.hx()→∞as x→−∞and hx()→∞as x→∞
9514 1404 393
Answer:
a.hx()→−∞as x→−∞and hx()→−∞as x→∞
Step-by-step explanation:
The negative leading coefficient tells you the function tends toward -∞ as x gets large. The even degree tells you it goes the same direction as x tends toward -∞.
h(x) → -∞ for x large or small . . . . matches A
click image to see it all:))))
9514 1404 393
Answer:
16 miles
Step-by-step explanation:
The problem can be modeled by a right triangle with one angle of 7° and the side opposite being 10,000 ft. The distance needed is the hypotenuse of the triangle, so the relevant trig relation is ...
Sin = Opposite/Hypotenuse
Hypotenuse = Opposite/Sin
air distance = (10,000 ft)/sin(7°) ≈ 82,055 ft
At 5,280 ft per mile, that is ...
(82,055 ft)/(5,280 ft/mi) ≈ 15.54 mi
The plane's air distance to the airport is about 16 miles.
For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical
Answer:
3) (I) Numeric , and (II) Numeric
Step-by-step explanation:
Numeric variable:
The variable assume number values.
Categorical values:
The variable assumes labels. Examples are yes/no, good/bad.
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).
A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for years.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)
Answer:
The tank must remain intact for 1183 years.
Step-by-step explanation:
Exponential equation for decay:
The amount of a substance after t years is given by:
[tex]A(t) = A(0)e^{rt}[/tex]
In which A(0) is the initial amount and r is the decay rate.
A storage tank contains a liquid radioactive element with a half-life of 96 years.
This means that [tex]A(96) = 0.5A(0)[/tex], and we use this to find r.
[tex]A(t) = A(0)e^{rt}[/tex]
[tex]0.5A(0) = A(0)e^{96r}[/tex]
[tex]e^{96r} = 0.5[/tex]
[tex]\ln{e^{96r}} = \ln{0.5}[/tex]
[tex]96r = \ln{0.5}[/tex]
[tex]r = \frac{\ln{0.5}}{96}[/tex]
[tex]r = -0.0072[/tex]
So
[tex]A(t) = A(0)e^{-0.0072t}[/tex]
It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
This is t for which [tex]A(t) = 0.0002A(0)[/tex]. So
[tex]A(t) = A(0)e^{-0.0072t}[/tex]
[tex]0.0002A(0) = A(0)e^{-0.0072t}[/tex]
[tex]e^{-0.0072t} = 0.0002[/tex]
[tex]\ln{e^{-0.0072t}} = \ln{0.0002}[/tex]
[tex]-0.0072t = \ln{0.0002}[/tex]
[tex]t = -\frac{\ln{0.0002}}{0.0072}[/tex]
[tex]t = 1183[/tex]
The tank must remain intact for 1183 years.
PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answer:
Options A, C, E
hope it helps
please mark brainliest
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 36
36
hours and the median is 32.2
32.2
hours. Twenty-four of the families in the sample turned on the television for 21
21
hours or less for the week. The 11th percentile of the data is 21
21
hours.
Step 3 of 5 : Based on the given information, determine if the following statement is true or false.
Approximately 109
109
families turned on their televisions for less than 32.2
32.2
hours.
Answer: hiiii
Step-by-step explanation:
Mr. Harris ran 2 miles in 14.5 minutes. Ms. Mullen ran 2.5 miles in 16 minutes. Ms. Hubbard ran 3.5 miles in 24 minutes.
A. Ms. Mullen was the fastest.
B. Ms. Hubbard was the fastest.
C. Mr. Harris was the fastest.
Answer:
A. Ms harris was the fastest considering she finished 2.5 miles under 14.5 minutes
Step-by-step explanation:
The baseball field is 9/10 of a mile from Benson’s house. Benson runs 3/10 of a mile and walks 4/10 of a mile on his way to the field. How much farther does Benson need to go to get to the baseball field?
Answer:
2/10 I believe
Step-by-step explanation:
3/10 + 4/10= 7/10
9/10 - 7/10 = 2/10
Referring to triangle ABC, find the area of the triangle.
a = 42.5 m, c = 35.5 m, B = 153.5°
Round to three significant digits.
Answer:
[tex]Area = 337[/tex]
Step-by-step explanation:
Given
[tex]a = 42.5[/tex]
[tex]c = 35.5[/tex]
[tex]B = 153.5^\circ[/tex]
Required
Area of triangle
This is calculated as:
[tex]Area = 0.5 *a* c * \sin(B)[/tex]
This gives:
[tex]Area = 0.5 *42.5* 35.5 * \sin(153.5)[/tex]
[tex]Area = 0.5 *42.5* 35.5 * 0.4462[/tex]
[tex]Area = 336.602125[/tex]
[tex]Area = 337[/tex] --- approximated
what geographic feature in north africa served as barrier separating it from the rest of the continent?
Answer: North Africa is separated from the Iberian Peninsula by the Strait of Gibraltar, which connects the Mediterranean Sea with the Atlantic Ocean.
Answer:
By the straight of Gibraltar
PLEASE HELP WILL MARK BRAINLEIST!!!!!! 30POINTS
Answer: c is your answer hope this helped
plz make brainly
Step-by-step explanation:
Answer:
90 degree
Step-by-step explanation:
think of a 90 degree turn
thats only a quarter turn
but a full angle is 360
so divide 360 by 4
How do I simplify 8 - 4(x - 7x) + 3
Answer:
11 + 24x
Step-by-step explanation:
8 - 4(x - 7x) + 3
8 - 4x + 28x + 3
11 - 4x + 28x
11 + 24x
Answer:
8-4x+28x+3 = 24x+11
Step-by-step explanation:
brainliest?
Help please! I think I wrote the rectangle right but I do not get the questions!
Step-by-step explanation:
perimeter = 2×(7+5) = 2×12= 24 units
area = 7×5 = 35 sq. units
what is the factorization of the polynomial x^2 - 5x -36
Answer:
(x+4)x(x-9)
Step-by-step explanation:
x^2 - 5x -36
x^2 +4x-9x-36
x (times) (x+4)-9x-36
x x (x+4)-9(x+4)
(x+4)x(x-9)
Step-by-step explanation:
hope it is helpful to you
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
It's Sin.
Thumbs-up (^_-)
Step-by-step explanation:
the answer is A ,since the unknown side is opposite while the known side is the hypotenuse
Which pair of functions are inverses of each other?
Answer:
D.f(x)=2x-9and g(x)=X+9/2
What is the y-intercept of y= 2/3x+2
1.(2,3)
2.(3,2)
3.(0,2)
4.(-3,0)
which best describe one-way to show 1/3 shaded?
Answer:
A
Step-by-step explanation:
Draw a circle and cut it into 3 equal parts. shade 1 part
hope this helps please mark as brainliest
Draw a circle and cut it into 3 equal parts best describe to show 1/3 shaded, option A is correct
Since 1/3 represents one out of three equal parts, drawing a circle and dividing it into 3 equal parts allows you to shade one of those parts to accurately represent 1/3.
This method ensures that each part represents an equal fraction of the whole, which is necessary to accurately show 1/3 shaded.
Hence, one-way to show 1/3 shaded is draw a circle and cut it into 3 equal parts. shade 1 part.
To learn more on Fractions click:
https://brainly.com/question/10354322
The complete question is:
which best describe one-way to show 1/3 shaded?
(A) Draw a circle and cut it into 3 equal parts. shade 1 part
(B) Draw a circle and cut it into 3 unequal parts. shade 1 part
Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob and Anna are each going to randomly choose from either 1\text{ p.m.}1 p.m.1, start text, space, p, point, m, point, end text, 2\text{ p.m.}2 p.m.2, start text, space, p, point, m, point, end text, 3\text{ p.m.}3 p.m.3, start text, space, p, point, m, point, end text, or 4\text{ p.m.}4 p.m.4, start text, space, p, point, m, point, end text to show up at Sally's Restaurant. They must both choose exactly the same time in order to meet. Bob has a "buy one entree, get one entree free" coupon that he can only use if he meets up with Anna. If he successfully meets with Anna, Bob's lunch will cost him \$5$5dollar sign, 5. If they do not meet, Bob's lunch will cost him \$10$10dollar sign, 10. What is the expected cost of Bob's lunch?
Answer:
The expected cost is $8.75
Step-by-step explanation:
Given
[tex]Time = \{1pm, 2pm, 3pm, 4pm\}[/tex]
[tex]C_1 = \$5[/tex] --- If Bob and Anna meet
[tex]C_2 = \$10[/tex] --- If Bob and Anna do not meet
Required
The expected cost of Bob's meal
First, we list out all possible time both Bob and Anna can select
We have:
[tex](Bob,Anna) = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3)[/tex][tex],(3,4),(4,1),(4,2),(4,3),(4,4)\}[/tex]
[tex]n(Bob, Anna) = 16[/tex]
The outcome of them meeting at the same time is:
[tex]Same\ Time = \{(1,1),(2,2),(3,3),(4,4)\}[/tex]
[tex]n(Same\ Time) = 4[/tex]
The probability of them meeting at the same time is:
[tex]Pr(Same\ Time) = \frac{n(Same\ Time)}{n(Bob,Anna)}[/tex]
[tex]Pr(Same\ Time) = \frac{4}{16}[/tex]
[tex]Pr(Same\ Time) = \frac{1}{4}[/tex]
The outcome of them not meeting:
[tex]Different = \(Bob,Anna) = \{(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2)[/tex]
[tex],(3,4),(4,1),(4,2),(4,3)\}[/tex]
[tex]n(Different) = 12[/tex]
The probability of them meeting at the same time is:
[tex]Pr(Different) = \frac{n(Different)}{n(Bob,Anna)}[/tex]
[tex]Pr(Different) = \frac{12}{16}[/tex]
[tex]Pr(Different) = \frac{3}{4}[/tex]
The expected cost is then calculated as:
[tex]Expected = C_1 * P(Same) + C_2 * P(Different)[/tex]
[tex]Expected = \$5 * \frac{1}{4} + \$10 * \frac{3}{4}[/tex]
[tex]Expected = \frac{\$5}{4} + \frac{\$30}{4}[/tex]
Take LCM
[tex]Expected = \frac{\$5+\$30}{4}[/tex]
[tex]Expected = \frac{\$35}{4}[/tex]
[tex]Expected = \$8.75[/tex]
The expected cost is $8.75
A ship captain looks up at the top of a lighthouse at a 7 degree angle of elevation and calculates that he is 1221 feet from its base. How tall is
the lighthouse, rounded to two decimal places?
123.01 feet
134.78 feet
149.92 feet
148.80 feet
Point D is located at (-2,-4) on a coordinate plane.
Part A
What are the coordinates of the point that is 5 units to the left of point D?
Part B
What are the coordinates of the point that is 5 units to the right of point D?
Answer:
Part A: (-7,-4)
Part B: (3,-4)
Step-by-step explanation:
Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) With $3.00, you could buy 10 bananas D) Each banana costs $0.30
Answer:
go to school, do your work, you are only cheating yourself, not the school, or end up homeless
Step-by-step explanation:
Find the area of the triangle in the picture.
Answer:
A =16.25 cm^2
Step-by-step explanation:
The area of a triangle is given by 1/2 bh where b is the base and h is the height
A = 1/2 (5) * 6.5
A =16.25 cm^2
Carlos plays college soccer, and will attempt two goals in a row.
A = the event Carlos is successful on his first attempt. P(A) = 0.60.
B = the event Carlos is successful on his second attempt. P(B) = 0.55.
The probability that he makes the second goal GIVEN that he made the first goal is
0.35
What is the probability that he makes both goals?
The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
the area of a rectangle is the product of its length and width.
Twelve times of a number decreased by lo is equal to 14. write this in a mathematical sentence and find the number
Answer:
12n-10=14, n=2
Step-by-step explanation:
( Twelve times of a number decreased by 10 is equal to 14 ) This sentence can be written mathematically to be: 12n-10=14
The answer: Add 10 to both sides: 12n-10=14 > 12n-10+10=14+10 > 12n=24
Divide both sides by 12: 12n=24 > [tex]\frac{12n}{12} =\frac{24}{12}[/tex] > n=2
You want to invest $300 in stock QRS. How many more shares of QRS will
you own at the end of the year if you use the DCA strategy instead of
investing all of your money at the start of the year?
Answer:
3 shares
Step-by-step explanation
1. Match the polygons with their appropriate clouds. A polygon can match to more than 1 cloud
Four customers came into a bakery. The first one said, "give me half of all the donuts you have left, plus half a donut more." The second customer said, "give me half of all the donuts you have left, plus half a donut more." The third customer said, "give me three donuts." The last customer said, "give me half of all the donuts you have left, plus half a donut more." This last transaction emptied the display case of donuts. How many donuts were there to start with?
Step-by-step explanation:
Find cotθ if θ terminates in Quadrant III and secθ = 2
a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3
Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3