Answer:
AB ≈ 11.17 m
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{80}{360}[/tex]
= 2π × 8 × [tex]\frac{8}{36}[/tex]
= 16π × [tex]\frac{2}{9}[/tex]
= [tex]\frac{32\pi }{9}[/tex] ≈ 11.17 m ( to the nearest hundredth )
Which equation graphs as the parabola?
A) Ax) = x² + 4
B) f(x) = x2 + 2x + 4
C) Ax) = x² + 5x- 4
OD) Ax) = x² + 3x-4
- b/0.1 +2.9= -35.1 no links or anything just the answer
Answer:
b = 3.8
Step-by-step explanation:
- b/0.1 +2.9= -35.1
Subtract 2.9 from each side
- b/0.1 +2.9-2.9= -35.1-2.9
-b/.1 = -38
Multiply each side by -.1
-b/.1 * (-.1) = -38 *(-.1)
b = 3.8
In 1992, the moose population in a park was measured to be 4600. By 1998, the population was measured again to be 4240. If the population continues to change linearly
1.Find a formula for the moose population, P , in terms of t, the years since 1990.
2.What does your model predict the moose population to be in 2009?
Answer:
P(t) = - 60t + 4720
3580
Step-by-step explanation:
Given :
m = (y2 - y1)/(x2 - x1)
m = (4250 - 4600) / (8 - 2)
m = - 360 / 6
m = - 60
Using the point slope relation :
y - y1 = m(x - x1)
y - 4600 = - 60(x - 2)
y - 4600 = - 60x + 120
y - 4600 + 4600 = - 60x + 120 + 4600
y = - 60x + 4720
P(t) = - 60t + 4720
To predict population in 2009 :
2009 - 1990 = 19 years
Put t = 19
P(19) = - 60(19) + 4720
P(19) = - 1140 + 4720
P(19) = 3580
3X TO THE POWER 6 * 2Y TO THE POWER 12 =??
9514 1404 393
Answer:
6·x^6·y^12
Step-by-step explanation:
(3x^6)(2y^12) = (3)(2)x^6·y^12 = 6·x^6·y^12
Answer:
6 x ⁶ y ¹²
Step-by-step explanation:
= ( 3 x ⁶ ) ( 2 y¹² )
= ( 3 ×2 ) x ⁶ y ¹²
= 6 x⁶ y ¹²
What is the area of the parallelogram below?
7 in2
14 in2
18 in2
28 in2
Answer:
14 (B)
Step-by-step explanation:
Area = L * h
L = 7 in^2
h = 2
Area = 7 * 2
Area = 14 in^2
Answer:
14
Step-by-step explanation:
Did lesson
If tickets for a concert cost $9 each, how many tickets can you buy if you have $135?
Write an equation and solve by guess-and-check.
9
c. 9x = 135; 15 tickets
135, 15 tickets
a
X
b. 9 + x = 135; 15 tickets
d. 9 - x = 135: 15 tickets
Answer:
15
Step-by-step explanation:
135 divided by 9 = 15
Helpppp quiccckkkkkm
Answer:
a) G
b) C
Step-by-step explanation:
Triangle A is congruent to triangle G
Triangle D is congruent to Triangle C
jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.
how much sparkiling water does jada need if she uses 15 cups of apple juice?
solve the answer with a full explanation
Answer:
10 cups
Step-by-step explanation:
we can set up a proportion of cups of water over cups of apple juice
2/3 = w/15
if you cross-multiply you will get:
3w = 30
w = 30/3
w = 10
Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches
Answer:
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
Step-by-step explanation:
To solve this question, we use the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 109.0 inches, and a standard deviation of 12 inches.
This means that [tex]\mu = 109, \sigma = 12[/tex]
Sample of 25.
This means that [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex]
What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?
This is the p-value of Z when X = 112. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{112 - 109}{2.4}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
Marsha deposited $10,000 into a savings account 5 years ago. The simple interest rate is 3%.
much money did Marsha earn in interest
Answer:
She earned 1500 in interest
Step-by-step explanation:
10,000 × 0.03 × 5 = 1500
Your welcome :)
Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, what can we conclude about the slope of weight
Answer:
The answer is "Option 5"
Step-by-step explanation:
Please find the complete question in the attached file.
Throughout the above output the regression equation is:
Delivery cost [tex]=0.469\times weight +9.617[/tex]
Solve the following equations for x,
if 0 ≤ x ≤ 2π.
i. 3csc² x – 4 = 0
ii. 4cos² x + 2cos x – 2 = 0
help me solve pls
(i) 3 csc²(x) - 4 = 0
3 csc²(x) = 4
csc²(x) = 4/3
sin²(x) = 3/4
sin(x) = ± √3/2
x = arcsin(√3/2) + 2nπ or x = arcsin(-√3/2) + 2nπ
x = π/3 + 2nπ or x = -π/3 + 2nπ
where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.
In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.
(ii) 4 cos²(x) + 2 cos(x) - 2 = 0
2 cos²(x) + cos(x) - 1 = 0
(2 cos(x) - 1) (cos(x) + 1) = 0
2 cos(x) - 1 = 0 or cos(x) + 1 = 0
2 cos(x) = 1 or cos(x) = -1
cos(x) = 1/2 or cos(x) = -1
[x = arccos(1/2) + 2nπ or x = 2π - arccos(1/2) + 2nπ] or x = arccos(-1) + 2nπ
[x = π/3 + 2nπ or x = 5π/3 + 2nπ] or x = π + 2nπ
For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.
The mass of a dime is about 0.002268 kg. Which is the best estimate of the mass?
A 2 x 10-3
B 2 x 10-2
C 2 x 102
D 2 x 103
Answer:
A.
[tex] = > \: 2 \times {10}^{ - 3} [/tex]
EASY QUESTION!!!!!!!!!! PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
What is one benefit of displaying data from multiple samples in a graph or table?
It can save time from doing number crunching and analysis because it's an easy to see visual.
How many different ID cards can be made if there are 8 digits on a card if digits can be repeated?
Answer:
10*9*8*7*6*5*4*3 = 10!/2 = 1814400 Cheers
Step-by-step explanation:
hope it works.
i need help on #10. very confused
Step-by-step explanation:
[tex]\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}[/tex]
[tex]\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}[/tex]
[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}[/tex]
[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}[/tex]
[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)[/tex]
[tex]\:\:\:\:\: \displaystyle= 2x[/tex]
sample of one hundred seventy-eight students were surveyed one week prior to the election for student body president
egarding their choice of three candidates. The table below shows the results of the survey.
A
B
С
Candidates
Votes
67
57
54
Use the information above. There are 1571 students in the school. According to the survey, about how many votes can
candidate A expect to recieve?
Answer:
592 Votes
Step-by-step explanation:
According to the Question,
Given That, a sample of 178 students was surveyed one week prior to the election for student body president Regarding their choice of three candidates.The table below shows the results of the survey.A B С
Candidates Votes 67 57 54
And, There are 1571 students in the school.
So, The Total votes can candidate 'A' expect to Receive is⇒(1571/178)×67
⇒591.33 ≈ 592 Votes(Approximately)
I need some help on this math question. Please explain how you found the answer too!
Answer:
A
Step-by-step explanation:
The table represents a proportional function which has a rate of proportionality equal to 5
In fact
5:1 = 5
15 : 3 = 5
25 : 5 = 5
35 : 7 = 5
If we make 90 : 18, the result is 5, so this dates can be part of the table
Curtis threw 15 darts at a dartboard.40% of his darts hit the bulls eye. How many darts did not hit the bulls eye?
Answer:
9 did not hit the bulls eye
Step-by-step explanation:
If 40% did hit the bulls eye, 100-40 = 60% did not hit the bulls eye
15 * 60%
15 *.6
9
9 did not hit the bulls eye
Answer:
Therefore, 9 darts did not hit the bull's-eye.
Step-by-step explanation:
Equivalent ratio states that the two ratios are express the same relationship between numbers
As per the given statement: Curtis threw 15 darts at a dashboard.
40% of his darts hit the bull's eye
then;
60 % of his darts did not hit the bull's eyes.
By definition of equivalent ratio;
x/15= 600/100
Multiply both sides by 15 we have;
x= 60/100 *15= 60*15/100= 900/100= 9 Darts
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
How many foreign stamps does Malik have?
Answer:
answer in picture
c, b, d
Step-by-step explanation:
Find the measurement of angle b.
Answer:
b = 55
Step-by-step explanation:
The two angles add to 90 degrees
b+35 = 90
Subtract 35 from each side
b +35-35 = 90-35
b = 55
Answer:
90-35=55
Answer is D
Step-by-step explanation:
As evident, the line is bisecting the right angle. One side of the bisection is given as 35. Thus by deduction:
90-35=b
90-35=55
55=b
help pls? asap. pls and ty :)
Answer:
a
Step-by-step explanation:
1/2x-30aaaaaaaaaaaaaaaa
If 8 x - 4 = 6 - 3 x then x =
Answer:
4th option is correct
Step-by-step explanation:
[tex]8 x - 4 = 6 - 3 x[/tex]
[tex]8x−4+3x=6[/tex]
[tex]11x−4=6[/tex]
[tex]11x=6+4[/tex]
[tex]11x=10[/tex]
[tex]x = \frac{10}{11} [/tex]Hope it is helpful...Answer:
option 4 ,
x=10/11
is the answer of your question
explanation is attached below .
hope it is helpful to you
Cooper buys a one-gallon bottle of juice for $12.80. What is the unit rate of the cost of the juice per fluid ounce? 1 gallon 4 quarts 1 quart 2 pints 1 pint = 2 cups 8 fluid ounces 1 cup Before you try that problem, answer the question below. How many fluid ounces of juice did Cooper buy?
how many fluid ounces of juice did he buy ???
Answer: There are 128 fluid ounces in a gallon
Step-by-step explanation:
There are 128 fluid ounces in a gallon
what is the integer of-2
Answer:
-2
Step-by-step explanation:
The integer of - 2 is - 2 only as integers can be positive and negative whole numbers
Perform the operation and, if possible, simplify
21/20 - 4/15
Answer:
47/60
Step-by-step explanation:
Find the LCM and multiply to get there.
LCM is 60
63/60-16/60
47/60
How many plants are shorter than 27 inches?
is 2(9x) and 18x
Equivalent?
Explain why
Determine whether the following statement is always, sometimes, or never true.
If two pairs of corresponding sides of two right triangles are congruent, then the triangles are
congruent.
Answer:
this statement is true because then the triangles will be congruent by rhs axiom
Solve the 5 questions!!!
Answer:
What is the answer you're looking for?
Step-by-step explanation: