Answer:
9.8 * 10^-11
Step-by-step explanation:
The exponent will be negative as the number is less than 1.
After the decimal point there are 11 digits up to and including the 9.
Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].
Answer:
Function g(x)
Step-by-step explanation:
Given
See attachment for functions
Required
Which has an average rate of 3 over [1,3]
The average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]
Where:
[tex][a,b] = [1,3][/tex]
So, we have:
[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]
[tex]m = \frac{f(3) - f(1)}{2}[/tex]
From the table f(x), we have:
[tex]f(3) = 6\\ f(1) = -2[/tex]
So:
[tex]m = \frac{6 - -2}{2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
From the graph of g(x), we have:
[tex]g(3) = 4\\ g(1) = -2[/tex]
So:
[tex]m = \frac{g(3) - g(1)}{2}[/tex]
[tex]m = \frac{4 - -2}{2}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
Since only one of the function has an average rate of change of 3 over the given interval,
Then g(x) answers the question
helppp please, i don’t know how to do this
Answer:
Line CB
Step-by-step explanation:
We know the smallest triangle is the left triangle, so you need to find the smallest angle in that triangle, which is 50 degrees as shown, and the opposite side to that, CB, is the smallest side.
The circumference of a circular pool is 43.96 meters. What is the area in square meters? Use 3.14 for pi.
A. 153.86
B.145.30
C.138.03
D.47.10
Answer:
The answer is letter A
Step-by-step explanation:
Area of a circle in terms of radius:
A circle of radius = 6.996 or 7, or diameter = 13.99 or circumference = 43.96 meters
Area = π · r^2 = 3.14 * 7^2 = 153.86 square meters
PLEASE HELP ASAP I NEED HELP ASAP. PLEASE AND TY
Answer:
5 in
Step-by-step explanation:
Need help on this one last question
Answer:
available
Step-by-step explanation:
if its available if available comment
find the distance between the two points rounding to the nearest tenth (1,9) (-2,6)
Answer:
3sqrt2 is the distance between these two points
PLEASE HELP FAST 30 POINTS PLUS BRAINLIST ONLY ANSWER IF YOU KNOW
The Golden Gate bridge was built in San Francisco, California, in 1937. Until 1964, it was the longest suspension span in the world. The length of the cable from the top of the tower to where it anchored in the concrete is 2332 m, and the height of each tower is 152 m. Assuming the cable forms a straight line, how far from the base of the tower is the cable anchored?
A glass jar contains a total of 53 marbles. The jar has red, blue, and green marbles. There are 3 blue marbles, 6 green marbles, and
the rest are red. Determine which event is likely
OA. Picking a green marble
OB. Picking a blue marble
OC. Picking a red marble
OD. Picking a yellow marble
Answer:
c. picking a red marble.
Answer:
Picking a red marble. C.
Step-by-step explanation:
A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. Which color marble is most likely to be picked?
Answer:
A red marble
Step-by-step explanation:
First, add all of the possible combinations of marbles that can be picked from the box ( 2 + 2 + 3 + 5 = 12 ). Next, write down the amount of each marble ( 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles). Then, find the marble that appears most in the box. (red marble). Finally, not only have you found that the red marble is most likely to be picked, you also know the probability of picking a red marble, (5/12).
Answer: red
Step-by-step explanation:
Kaylee's gross income is $3,200 per month. Of this amount 25% is taken out for taxes and other required deductions. How much is her take home pay?
Answer: [tex]\$2400[/tex]
Step-by-step explanation:
Given
Kaylee's gross income is [tex]\$32,000\text{per month}[/tex]
[tex]25\%[/tex] is taken out for taxes and other required deduction
left amount is
[tex]\Rightarrow 3200-25\%\times 3200\\\Rightarrow 3200(1-0.25)=\$2400[/tex]
So, her take-home pay is [tex]\$2400[/tex]
Please help!!!!!!!!!
Answer:
C , 6/15
Step-by-step explanation:
Hope it helps !!:)
A geologist drew a scale drawing of a section of a quartz layer she saw in a cliff. The scale drawing of the layer is 4 cm high and 28 cm long. If the actual layer is 0.2 meters high, what is the area of the actual quartz layer section she saw?
Answer:
[tex]0.28\ \text{m}^2[/tex]
Step-by-step explanation:
[tex]4\ \text{cm}=0.2\ \text{m}[/tex]
[tex]1\ \text{cm}=\dfrac{0.2}{4}=0.05\ \text{m}[/tex]
[tex]28\ \text{cm}=28\times 0.05=1.4\ \text{m}[/tex]
The height of the layer is 0.2 m and the length is 1.4 m
Area is given by
[tex]0.2\times 1.4=0.28\ \text{m}^2[/tex]
Area of the actual quartz layer section is [tex]0.28\ \text{m}^2[/tex].
Avery invested $21,000 in an account paying an interest rate of 3.3% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $29,200?
Answer:
10
Step-by-step explanation:
Answer from delta math
Which inequality is true when x=6? *
Answer:
10+x=16
Step-by-step explanation:
Write an expression for the nth term of the geometric sequence. Then find the indicated term. a1 = 3, r = 3 , n = 10
Answer:
[tex]A_{n} =3(3)^n^-^1[/tex]
[tex]A_{10} = 59,049[/tex]
A sofa is on sale for $481, which is 65% of the regular price.
What is the regular price?
Answer:
I think $ 649.35 cents
Step-by-step explanation:
65% off means the sale price is 35% of the regular price.
35% of something is 0.35 times the something.
cuanto es +(+9) - (+6)
Answer:
+ ( + 9) - (+ 6)
= 9 - 6
= 3
espero que ayude
Step-by-step explanation:
Three students wrote a relationship between decimal, fraction, and percent's. Which of the students wrote an equivalent relationship? Lori wrote: 75% = 3/5 Talisha wrote: 0.05 = 50% Shannon wrote: 3/8 = 0.375
Answer:tyeydStep-by-step dh:
ghe
What is the measure of the missing angle?
35°
105°
Answer:
Answer: 40 degrees
Step-by-step explanation:
If this is a triangle the missing angle would be 40 degrees because
35 + 105 + 40 = 180
Hope this helps!
help ME pls
.............
Answer:
not sure how this is math
Answer:
Keep your head up king/queen
angle relationships. please help me. i will give you brainlist. if you are right though.
Step-by-step explanation:
12x+15+69= 180
12x = 96 X =8
x+137 + 50 = 180
x = - 7
80= 20x
x = 4
A circle has a radius of 30 cm.
What is the area of the circle?
Explain or show your reasoning.
Answer: the area of the circle is 2827.43cm²
Step-by-step explanation:
What is the standard form of 3 x 1,000 + 5 x 10 + 9 x 0.1 + 6 x 0.001?
A bag contains 12 red marbles, 10 green marbles, 2 yellow marbles, 19 blue marbles, and 9 purple marbles. What is the probability of pulling out a green marble?
Answer:
10/52 or when reduced, is 5 over 26 (5/26) and if they want it as a percent, its 19% (.19)
Answer:
5/26
Step-by-step explanation:
Classify the triangles shown below as "scalene," "isosceles," or "equilateral." Sides that are the same length are marked with a slash. Write the letter of each triangle and the category or categories in which it belongs. If a triangle fits more than one classification, write all categories that apply.
Shawna noticed that the distance from her house to the ocean which is 40 miles was one fifth the distance from her house to the mountains. Write and solve a division equation to find the distance from Shawna's house to the mountains.
Answer:
40 ÷[tex]\frac{1}{5}[/tex] =
40 x 5 = 200 miles
Step-by-step explanation:
distance from Shawna's house to the mountains = distance from her house to the ocean ÷ 1/5
40 ÷ 1/5
40 x 5 = 200 miles
The Slow Ball Challenge: There will be 9 pitches, each at 60 mph. Diego estimates that he will hit each individual pitch 95% of the time. If Diego can hit all 9 pitches, he will win a total of $45; otherwise he will lose $10. The Fast Ball Challenge: There will be 4 pitches, each at 90 mph. Diego estimates that he will hit each individual pitch 60% of the time. If Diego can hit all 4 pitches, he will win a total of $80; otherwise he will lose $20. Show Proof of which challenge he should play and why?
Answer:
He should play the Slow Ball Challenge
Step-by-step explanation:
The number of pitches = 9 pitches
The speed of the 9 pitches = 60 mph
The percentage of the time Diego estimates he can each pitch = 95%
P = 0.95
The amount Diego will win if he can hit all 9 pitches = $45
The amount he will loose = $10
The Fast Ball challenge
The number of pitches = 4 pitches
The speed of the 4 pitches = 90 mph
The percentage of the time Diego estimates he can each pitch = 60%
The amount Diego will win if he can hit all 4 pitches = 60 %
The amount he will loose = $20
For the Slow Ball challenge, we have;
The probability that he hits all 9 pitches and wins the $45, is given by the binomial probability distribution as follows;
P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ
Therefore, we get;
P(X) = ₉C₉ · P⁹ ·(1 - P)⁹⁻⁹ = 1 × 0.95⁹ ≈ 0.63025
The probability that he losses the $45 = 1 - P(X) ≈ 1 - 0.63 = 0.36975
The expected value = 0.63025 × 45 - 0.36975 × 10 ≈ 24.66375
The expected value ≈ 24.66375
For the Fast Ball challenge, we have;
The probability that he hits all 4 pitches and wins the $80, is given by the binomial probability distribution as follows;
P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ
Therefore, we get;
P(X) = ₄C₄ · P⁴ ·(1 - P)⁴⁻⁴ = 1 × 0.6⁴ ≈ 0.1296
The probability that he losses the $80 stake = 1 - P(X) ≈ 1 - 0.1296 = 0.8704
The expected value = 0.1296 × 80 - 0.8704 × 20 ≈ -7.04
The expected value ≈ -7.04.
Given that the expected value for the Fast Ball Challenge is lesser than the expected value for the Slow Ball Challenge, Diego should play the Slow Ball Challenge.
A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning
The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.
Answer:
1 inch = 8.333 feets
Step-by-step explanation:
Initial dimension of rectangle :
100 feets by 10 feets
Fractional decrease in garden = 2/3
New Dimension of garden :
2/3(100 feets) by 2/3(10 feets)
66.667 feets by 6.6667 feets
Hence
From the picture attached :
8 inch = 66.667
1 inch = 8.333
The new scale of the drawing = 1 inch = 8.333 feets
Mr. Sims wants to buy a new truck. He sold his old truck for $3,582, and he has $4,979 in the bank. If a new truck costs $9,005, how much more money does he need in order buy the new truck?
Answer:
$444
Step-by-step explanation:
3,582 + 4,979 = 8,561
9,005 - 8,561 = 444
6.4=0.8m what does m equal
Answer:
0.8
Step-by-step explanation:
8x8=64 but put the decimal point back in 0.8x0.8=6.4