9514 1404 393
Answer:
150 m
Step-by-step explanation:
The relationship between arc length (s), radius (r), and central angle (θ) is ...
s = rθ
Dividing by θ gives the formula for r:
r = s/θ = (15π m)/(18°(π/180°))
r = 150 m . . . . the radius of the circle
A hot air balloon descends 200 feet per
minute from an altitude of 1000 feet. Write a expression
Write the equation in slope-intercept form of a line is parallel to y=2x+5 and has a y-intercept of -7
Answer:
y = 2x - 7
Step-by-step explanation:
Parallel lines have the same slope so only the y-intercept is different. Therefore nothing is changed between the two equations except the y-intercept is -7.
How many real solutions does this system of equations have? x2 +3 = y
3х — у+1 = 0
Answer:
Step-by-step explanation:
y = x²+3
y = 3x+1
x² + 3 = 3x +1
x² - 3x + 2 = 0
(x-2)(x-1) = 0
x = 2, 1
Two solutions
(2,7) and (1,4)
How far from "0 is the green rectangle?
PLEASE HELP
-6/5k=12
Show your work in details if you can, I have a hard time understanding this.
[tex]\begin{cases}\large\bf{\green{ \implies}} \tt \: - \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{ - 6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: - 10 \end{cases}[/tex]
Determine the dimension of the vector space. M4,2
STEP 1: Determine the number of linearly independent vectors needed to span M4,2. The basis for M4,2 has linearly independent vectors.
STEP 2: Using the result from Step 1, determine the dimension of M4,2.
Answer:
STEP 1
M_{4,2} is set of 4x2 matrices hence each matrix has 4*2=8 entries. Each entry can be filled independently.
Hence its basis has 8 linearly independent vectors.
STEP 2
Dimension= cardinality of basis = 8.
If f(x)=x-2 and g(x)=2x-6, then g(4)/f(3)
Answer:
2
Step-by-step explanation:
g(x) = 2x - 6
g(4) = 2*4 - 6
g(4) = 2
f(x) = x - 2
f(3) = 3 - 2
f(3) = 1
Thus g (4) / f (3) = 2 / 1 = 2
The value of the function g (4) / f (3) is 2.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We are given the function as;
f(x)=x-2 and g(x)=2x-6, then we need to find g(4)/f(3)
Therefore, g(x) = 2x - 6
g(4) = 2*4 - 6
g(4) = 2
Similalry,
f(x) = x - 2
f(3) = 3 - 2
f(3) = 1
Thus we have the value of function as
g (4) / f (3) = 2 / 1
g (4) / f (3) = 2
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Find the time it takes for $6,400 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Find the time it takes for $640,000 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Give your answers accurate to 4 decimal places.
Question Holn Video M Message instructor
9514 1404 393
Answer:
3.6481 years
Step-by-step explanation:
The doubling time is not a function of the amount invested. It can be found by considering the account balance multiplier:
2 = e^(rt) = e^(0.19t)
Taking logs, we can solve for t:
ln(2) = 0.19t
t = ln(2)/0.19 ≈ 3.6481431
Rounded to 4 decimal places, the doubling time is 3.6481 years, for either balance.
What will be the reciprocal of 4/9 × 45/36
Answer:
[tex]\frac{9}{5}[/tex]
Step-by-step explanation:
[tex]\frac{4}{9}[/tex] × [tex]\frac{45}{36}[/tex]
= [tex]\frac{4}{9}[/tex] × [tex]\frac{5}{4}[/tex] ( cancel 4 on numerator/ denominator )
[tex]\frac{5}{9}[/tex]
Given a number n then its reciprocal is [tex]\frac{1}{n}[/tex]
Then the reciprocal of [tex]\frac{5}{9}[/tex] is
[tex]\frac{1}{\frac{5}{9} }[/tex] = [tex]\frac{9}{5}[/tex]
Which inequality is true?
O A. 1 2 > 2
OB. 8 - T > 5
O C. 1071 > 30
O D. 1+4<7
Answer:
true
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A
[tex]\frac{12}{2\pi }[/tex] ≈ 1.91 < 2
B
8 - π 8 - 3.14 = 4.86 < 5
C
10π ≈ 31.42 > 30 ← True
D
π + 4 = 3.14 + 4 = 7.14 > 7
Option C is a true inequality
Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an
approximation for
90 m
40
2,794 square meters
1,256 square meters
974 square meters
O 6,844 square meters
The approximate area of the shaded region is 2794 m². The correct option is the first option 2794 square meters
From the question, we are to determine the approximate area of the shaded region
The area of the shaded region = Area of the triangle - Area of the circle
Area of triangle = 1/2 × base × height
Area of the triangle = 1/2 × 90 × 90
Area of the triangle = 4050 m²
Area of a circle = πr²
Where r is the radius
In the diagram,
Diameter = 40 m
∴ Radius = 40/2 = 20 m
Thus,
Area of the circle = π × 20²
Area of the circle = 3.14 × 400
Area of the circle = 1256 m²
Therefore,
The area of the shaded region = 4050 m² - 1256 m²
The area of the shaded region = 2794 m²
Hence,
The darkened area covers about 2794 m²
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Given:
AD
diameter of Circle P.
Dec
B
A
If m < 1 = 30°, then m AB
15
30
60
Answer:
The measure of an arc is the size of the corresponding central angle, so angle 1 for AB,
Answer: B 30
find the surface area of the prism
Answer:
Base area=5*12=60
Height is 4
Perimeter or the base is 2*(12+5)=34
Surface area is 2B+Ph=120+136=256
find the measure of the angle indicated
Answer:
Step-by-step explanation:
59°
There are 25 peanut candies in a bowl. 4 red, 3 orange, 4 yellow, 5 green, 6 blue and 3 brown. what is the probability of randomly choosing a blue candy from the bowl?
Answer:
6/25 or 24%
Step-by-step explanation:
Answer:
6/25, 0.24, or 24% chance
Step-by-step explanation:
Hi there!
We're given that:
⇒ There are 25 peanut candies in total
⇒ 6 out of the 25 candies are blue
To find the probability of randomly choosing a blue candy from the bowl, divide 6 by 25:
6/25 = 0.24 = 24%
I hope this helps!
find x in the following
Answer:
i. ans in picture
ii. ans in picture
iii. ans in picture
iv. 19
v. 38
Step-by-step explanation:
i. working in picture
ii. working in picture
iii. working in picture
iv.
180-90=90
90=2x+7+45=2x+52
2x=90-52=38
x=19
v.
angle COD=3x+10
180-3x+10-2x
180+10=2x+3x
190=5x
x=38
Answer:
x = 123- 56=67x= 17x=125x=19x= 20Step-by-step explanation:
Apply the following triangle laws:
The sum of the angles of a triangle will always be 180 degrees.
Do this please helpppp
Answer:
y = [tex]\frac{20}{9}[/tex]
Step-by-step explanation:
Since the figures are similar then the corresponding sides are in proportion, that is
[tex]\frac{JH}{PQ}[/tex] = [tex]\frac{FM}{ST}[/tex] , substitute values
[tex]\frac{6}{4}[/tex] = [tex]\frac{7}{3y-2}[/tex] ( cross- multiply )
6(3y - 2) = 28
18y - 12 = 28 ( add 12 to both sides )
18y = 40 ( divide both sides by 18 )
y = [tex]\frac{40}{18}[/tex] = [tex]\frac{20}{9}[/tex]
Answer:
20/9
Step-by-step explanation:
since the 2 are similar,
JH/PQ = FM/ST
6/4 = 7/(3y-2)
6(3y-2) = 7*4
18y-12=28
18y = 40
y = 40/18 = 20/9 = 2 2/9
Will give brainliest answer
Answer:
Step-by-step explanation:
A(1) is the amount after 1 decade.
A(0.1) is the amount after 1 year.
Every year, the amount of CO₂ increases by a factor of 1.06^(0.1) ≅ 1.0058
Help please im new and i need help
9514 1404 393
Answer:
B) False
Step-by-step explanation:
Triangles are similar when their angles are the same measures. Because the angles sum to 180°, we only need to show that 2 angles of one triangle are equal to 2 angles of the other triangle.
All three of the angles of the first triangle are given: 20°, 40°, 120°.
One of the angles of the second triangle matches: 40°; but the other angle (80°) doesn't match either of 20° or 120°.
The angles aren't the same, so the triangles are not similar.
__
If we want to go to the trouble, we can figure the third angle of the second triangle. It is 180° -40° -80° = 60°.
Then the angles in the two triangles, listed smallest to largest, are ...
20°, 40°, 120°
40°, 60°, 80°
It is clear the angles of these triangles are not the same.
A vending machine dispenses coffee into a twenty-ounce cup. the amount of coffee dispensed into the cup is normally distriubuted with a standard deviation of 0.03 ounce. You can allow the cup to overfill 2% of the time. What amount should you set as the mean amount of coffee to be dispensed?
Answer:
x=20.938
Step-by-step explanation:
-2.053748911 = (x - 21)/.03
x=20.938
In a certain year Congress debated a bill. A poll of 1000 Americans indicated 401 opposed 293 favored 306 not sure. What is the probability that random person was in favor
Lesson 9.6: Steady-State Analysis.) Consider a particular data set of 100,000 stationary waiting times obtained from a large queueing system. Suppose your goal is to get a confidence interval for the unknown mean. Would you rather use (a) 50 batches of 2000 observations or (b) 10000 batches of 10 observations each?
Answer:
I would rather use:
(b) 10,000 batches of 10 observations each.
Step-by-step explanation:
It is easier to have 10,000 batches of 10 observations each than to have 50 batches of 2,000 observations. Human errors are reduced with fewer observations. For example, Hadoop, a framework used for storing and processing big data, relies on batch processing. Using batch processing that divides the 100,000 stationary waiting times into 10 observations with 10,000 batches each is more efficient than having 2,000 observations with 50 batches each.
how do you change a hot air baloon descends 200 feet per minute from a altitude of 1000 feet into a algebraic expression.
How much state tax is withheld from $36,200 if the tax rate is 4%?
Answer:
$1448
Step-by-step explanation:
Tax=rate*amount=(4/100)*36200=1448
According to the video, this career offers a good opportunity to do what?
O supervise other workers
O learn an employer's business
Obecome physically fit
Obuild friendships with customers
Answer:
The correct answer is "learn an employers business"
Step-by-step explanation:
Supervising other workers isn't their job
Becoming physically fit wouldn't help them with that job
Building friendships with customers isn't part of the job
According to the video, this career offers a good opportunity to learn an employer's business. Therefore, the correct option is option B.
What is career?There are two definitions of a career. It's common to use the word "career" to describe a profession, occupation, trade, or vocation. The work you perform for a livelihood is defined by your job, which can range from occupations requiring substantial education and training to ones that can be performed using a high school certificate and then a desire to gain knowledge.
Work as a doctor, attorney, teacher, carpenter, veterinarian assistant, electrician, cashier, instructor, or hairstylist is an example of a career. According to the video, this career offers a good opportunity to learn an employer's business.
Therefore, the correct option is option B.
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solve similar triangles (advanced)
solve for x
Answer:
27/2 =x
Step-by-step explanation:
We can write a ratio to solve
3 2
----- = ---------
3+x 11
Using cross products
3*11 = 2(3+x)
33 = 6+2x
Subtract 6 from each side
33-6 = 6+2x-6
27 = 2x
27/2 = 2x/2
27/2 =x
Tina invests $3,700 into an account with a 4.4% interest that is compounded quarterly. How much money will she have in
this account if she keeps it for 8 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
bacoot anjing
lo siapa hah kan bisa jawab sendiri sok sok minta bantuuuu
Step-by-step explanation:
maluiiin
Answer:
$5250.96
Step-by-step explanation:
Future value= Present value(1+r)^n
=3700(1+0.011)^32
r=4.4÷100÷4
n=8×4
Knowing that AQPT - AARZ, a congruent angle pair is:
Answer:
Angle T is congruent to Angle Z
Step-by-step explanation:
Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 527 and standard deviation 118.
Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20 and standard deviation 3.
1. What is Elanor's standardized score?
Round to 2 decimal places.
3. What is Gerald's standardized score?
Round to 2 decimal places.
4. Assuming that both tests measure the same kind of ability, who has the higher score?
i. Gerald.
ii. Elanor.
iii. They both did equally well.
Answer:
1. Elanor's standardized score is 1.19
2. Gerald's standardized score is 0.72
3. Elanor has higher score.
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=X-M over 8 where
X is the student's score
M is the mean score of the exam
s is the standard deviation of the exam
Elanor's standardized score is:
z(e) =680-554 over 106 ≈ 1.19
Gerald's standardized score is:
z(g)= 27 - 24.7 over 3.2 ≈ 0.72
Since z(e) > z(g), Elanor has higher score
There is a language with 12 distinct letters. How many words that are less than four letters long can possibly be formed? (Assume any combination of letters is valid and letters can be repeated). Can you help me out with this one?
Answer:
1884
Step-by-step explanation:
1)If you hear the condition "less than four letters" it means that each word can consist of 3,2 or 1 letter. Firstly, consider the easiest situation with the word from one letter. There are 12 letters, so there are 12 words from one letter.
Then the words from two letters. The first letter of such a word can be chosen in 12 means(because 12 letters are available), then the second letter can be chosen in 12 means too. 12*12=144 words with 2 letters. (Multiplying, not adding, because each two words form one combination).
Then for the words from three letters, use the same rule, 12 means for the first letter, 12 means for the second letter, 12 means for the third letter. 12*12*12=1728 words.
Having particular words from 1,2,3 letters add them to get total quantity of words: 12+144+1728=1884words,that is the answer.
