Answer:
31m/s
Step-by-step explanation:
Using the equation of motion
v² = u² + 2gH
H is the height of fall = 49m
g is the acceleration due to gravity = 9.8m/s²
u is the initial velocity = 0m/s
v² = 0² + 2(9.8)(49)
v² = 960.4
v = √960.4
v = 30.9m/s
v ≈ 31m/s
Hence the velocity of water at the turbine is 31m/s
How do you do this?
Answer:
78 degrees
Step-by-step explanation:
We know that these triangles are congruent
Angle N is the same as angle W since the triangles are congruent
Angle N = 78 degrees
Therefor angle W = 78 degrees
the model represents the equation - 3 =10. Which is the value of x in the equation x - 3 = 10?
Answer: C
Step-by-step explanation:
13-3=10
9 - 0.5x = 15
solve for x and show your work.
Answer:
Step-by-step explanation:
Answer:
x = - 12
Step-by-step explanation:
9 - 0.5x = 15
* isolate the variable using inverse operations *
step 1 subtract 9 from each side
9 - 9 cancels out
15 - 9 = 6
now we have -0.5x = 6
step 2 divide each side by -0.5
-0.5x / -0.5 = x
6 / -0.5 = - 12
we're left with x = - 12
The ratio of the corresponding sides of two similar squares is 1 to 4. What is the ratio of the area of the
smaller square to the area of the larger square?
1) 1:3
2) 1:9
3) 1:16
4) 1:25
Answer:
1:16
Step-by-step explanation:
The ratio of the sides of similar figures is actually called a scale factor. The ratio of the areas is the scale factor squared
scale factor= 1:4
ratio of areas=1^2:4^2
=1:16
always search up for more info
Ángulo mayor a 0 y menor a 45
Answer:
Ángulo agudo
Es cualquier ángulo que mida más de 0 grados pero menos de 90 grados. Un ángulo agudo cae en algún lugar entre inexistente y un ángulo recto.
Acute angle
It's any angle that measures more than 0 degrees but less than 90 degrees. An acute angle falls somewhere between nonexistent and a right angle.
Find each product of the equation. I need help please
Answer:
1. 15x-10
2. x²-x-12
3. x²-8x+12
4. 2x³+4x²-30x
5. 6x³- 12x²+6x
6. 4x³+12x²-20x
Step-by-step explanation:
4.2x(x+5)(x-3)
= 2x(x²-3x+5x-15)
= 2x(x²+2x-15)
= 2x³+4x²-30x
The Hiking Club plans to go camping in a State park where the
probability of rain on any given day is 71%. What is the probability that
it will rain on exactly zero of the five days they are there? Round your
answer to the nearest thousandth.
Answer: Probability is 0.00205 = 0.205%
Step-by-step explanation: P(rain) = 0.71, P(no rain) = 0.29.
P(no rain in 5 days)= 0.29·0.29·0.29·0.29·0.29= 0.00205
Find the angles
∠1 = °
∠2 = °
∠3 = °
The salary of college professors from more than 25,000 universities and colleges in USA is normally distributed with a mean, $85,900 and its standard deviation, $11,000. If you collect a random sample from 35 professors, find the probability that the sample mean is between $70,000 and $100,000?
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mean,\ \sigma=standard\ deviation.\\\\For \ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Therefore given that μ = $85900, σ = $11000, n = 35.
For x > 70000:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{70000-85900}{11000/\sqrt{35} } =-8.55\\[/tex]
For x < 100000
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{100000-85900}{11000/\sqrt{35} } =7.58[/tex]
From the normal distribution table, P(70000< x < 100000) = P(-8.55 < z < 7.58) = P(z < 7.58) - P(z < -8.55) = 1 - 0 = 1 = 100%
6.
Which expression is equivalent to
4x +3 - 3x + (-2)?SHOW WORK
Answer:
x + 1
Step-by-step explanation:
What inequality does the number line graph represent?
Answer:
3
°•°°•••°°•••••••••°•○○○●••
2. Which equation represents a line that passes through the points (4, 5) and (6, 9)?
Answer:
y=2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-5)/(6-4)
m=4/2
m=2
y-y1=m(x-x1)
y-5=2(x-4)
y=2x-8+5
y=2x-3
What is the area of the triangle?
4
2
_____units2
Answer:
4
Step-by-step explanation:
Answer:
Yup it’s 4
Step-by-step explanation:
If x=7 and y=−2, evaluate the following expression:7(2x−3y)
Answer:
140
Step-by-step explanation:
7(2x-3y)
7(2*7-3(-2))
7(14+6)
7(20)
140
no way number three?!
Which of the following is a true statement based on the graph shown ?
Answer: I feel like it's the last one
Step-by-step explanation: ahhh I could be wrong I've had this problem before and I'm certain I chose the last one but I could be wrong if I'm wrong then I'm very sorry
can someone help (will give brainliest)
Answer:
384
Step-by-step explanation:
8 x 6 = 48
48 x 2 = 96
12 x 10 = 120
6 x 12 = 72
8 x 12 = 96
96 + 120 + 72 +96 = 384
Answer:
Step-by-step explanation:
Remark
Surface area for this = Top + bottom + left side + 2 triangles.
The hypotenuse of the triangle can be found by the Pythagorean Theorem.
a^2 + b^2 = c^2
a = 6
b = 8
c = ?
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
sqrt(c^2) = sqrt(100)
c = 10
Top
Top = Length * Width
Top = 12 * hypotenuse
Top = 12 * 10
Top = 120
Left side = L*W
L = 12
W = 6
Area = 6 * 12
Area = 72
Two triangles
Two Triangles = 2* (1/2) * 6 * 8 = 48
Base
W = 8
L = 12
Area = L*W
Area = 8 * 12 96
Total area = 96 + 48 + 72+120 = 336
3. Robin drove 80 miles in 1.6 hours.
At what rate was Robin driving?
A 80 miles per hour
B 70 miles per hour
C 65 miles per hour
D 50 miles per hour
Answer quick plzzz no website
Answer:
The answer is 50 miles per hours.
Circle A has an area of 25pi square units. Circle B has a radius that is 20% larger than Circle A. What is the area of Circle B?
Answer:
Circle B area = 49π square units
Step-by-step explanation:
Circle A radius =√25 = 5 units
(1.2)(5) = 7 = radius circle B
Circle B area = 7²π = 49π square units
Alicia and Thea are in charge of determining the number of T-Shirt to order to sell in the school store. Each Student collected sampled data from the population of 300 students. Alicia surveyed 50 students in the cafeteria. Thea surveyed the first 60 students who arrived at school one morning. Use Alicia's data to estimate the number of T-Shirts they should order
Answer: 360
Step-by-step explanation:
Since we are informed from the question that Alicia surveyed 50 students in the cafeteria from the population of 300 students, it simply means that she surveyed 50/300 = 1/6 of the students.
Since Thea surveyed the first 60 students who arrived at school one morning, the number of T-Shirts taht they should order will be:
= 1/6 × x = 60
x = 60 × 6.
x = 360
They should order 360 t-shirts for the students.
Answer: Look at the explanation. Note that this is from the book.
Step-by-step explanation:
Alicia: 30/50 = x/30
x=180
They should order about 180 T-shirts.
Thea: 51/60 = x/300
x = 255
They should order about 255.
Note that we got the 300 from what the question said of the population being 300 students.
Hope this helps you!
HELPPPPPPPPPPP PLSSSSSSS URGENTTTTT PLS I ACTUALLY NEED HELPPPPP ILL MARK BRAINLIET ONLY IF YOU ACTUALLY HELP MEEQuestion 2 (2 points)
A survey asked 800 students to choose their favorite school subject. The results are shown in the table. Which of the options below is the better
representation of the portion of students who prefer math?
Favorite School Subject
Number of
Subject
Students
Science
224
Math
176
Literature
240
Social studies 160
O a
Oь
Oc
Both would be good representations of the portion of student who prefer math.
Neither would be good representations of the portion of student who prefer math.
Favorite School Subject
Social
studies
Science
28%
20%
Literature Math
30%
22%
Od
Favorite School Subject
250
Number of
students
150
100
50
0
Science
Math Literature Social
Answer:
C
Step-by-step explanation:
When you compare it to the other one it just looks better yk. I don't really have a fancy explanation for this, the pie chart just makes the numbers look more even.
JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?
I took a screen shot of the math
From the graph, solution of inequalities is (8, 7). Therefor, she worked as a baby-sitter for 8 hours and worked as a tutor for 7 hours.
Given that, JoAnn likes her job as a baby-sitter, but it pays only $3 per hour.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Total number of hours JoAnn worked is 15 hours
Let the number of hours she worked as a baby-sitter be x hours, the number of hours she worked as a tutor will be y hours.
Now, x+y<15
3x+6y>66
The intersection consists of the elements that are contained in all of the intervals.
x<15-y and x>22-2y
From the graph, solution of inequalities is (8, 7). Therefor, she worked as a baby-sitter for 8 hours and worked as a tutor for 7 hours.
To learn more about the inequalities visit:
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HELPPPPPPPPPPPPPPPPP
Answer:
x=25
Step-by-step explanation:
155-(90+65)=x
Answer:
x = 25
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
The given is a right triangle
which means one of the angle has a measure of 90
so if we add up all the angles
65 + 90 + x = 180 add like terms
155 +x = 180 subtract 155 from both sides
x = 25
Image point B'(4, -8) was transformed using the translation ( x - 2, y + 3). What were the coordinates of B?
(6, -11)
(2, -5)
(2, -11)
(6, -5)
Answer:
(6, -11)
Step-by-step explanation:
In this problem, you are given the image and you need to find the pre-image. To do this work backward and do the opposite of the translation. So, to find the pre-image solve [tex](x+2, y-3)[/tex]. Once you plug in the points you get [tex](6,-11)[/tex] which must be the original point.
Answer:
(6, -11)
Step-by-step explanation:
In a rhombus, an altitude from a vertex of an obtuse angle bisects to opposite side. Find het measures of the angles of the rhombus.
Answer:
The angles are : 30° , 90° , 60° and 120°
Step-by-step explanation:
In a rhombus the obtuse angles measure up to 120° while the acute angles measure up to 60°
In other to find the net measure of the angles
we will draw altitude from the vertex to form a right angled triangle and it will as well bisect the opposite side.
let the base of the right angled triangle ( opposite the obtuse angle ) = 1/2 x
side( hypothenuse ) of rhombus = x
sine = opposite / hypothenuse
hence sine x = 1/2 x / x
∴ sin x = 1/2
therefore to determine the value of x
sin^-1 ( x ) = sin^-1 ( 1/2 )
hence ; x = 30
given that the sum of the angles in a triangle = 180 . hence the third angle ( the acute angle ) = 180 - 90 - 30 = 60°
Given that the acute angle and the obtuse angle of a rhombus is supplementary
hence the value of the obtuse angle = 180° - 60° = 120°
13 Calculate circumference of the circle. ( use t = 3.14) r=41 cm
Answer:
257.48 cm
Step-by-step explanation:
circumfrence of circle = 2*pi*radius
2 *3.14*41
257.48 cm
don't forget the unit
How do you find the radios and the height for this problem?
Answer:
radius=2, height=3
Step-by-step explanation:
diameter= 2x the radius therefore 4/2=2=radius
cylinder volume formula=πr^2h
volume=12π
height= v/πr^2=12π/π*2^2=12π/π*2^2=12π/4π=3
hope this helped!
All of the following are true of betas and correlation coefficients EXCEPT: Group of answer choices Both betas and correlation coefficients can tell you something about the strength of a relationship. Betas describe the relationship between two variables exactly as correlations coefficients do. Betas from an analysis can be compared with other beta coefficients from the same analysis just as correlation coefficients can. Both betas and correlation coefficients can tell you something about the direction of a relationship.
Answer:
yes look at the eslotp uudh
Both betas and correlation coefficients can tell you something about the direction of a relationship. The corect option is D.
What is coorelation coefficient?The coefficient of variation is a ratio which is used to show the level dispersion of values or treatments around the mean of a set of values.
The coefficient of variation is the ratio of the standard deviation to the mean of a set of numbers or treatments. The higher the coefficient of variation the higher the dispersion from the mean.
The coefficient of variation is the best measure of risk for an isolated single asset. Beta is the a measure of how volatile a particular stock is compared to the market.
To know more about correlation coefficient follow
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Whoops i dont know how to undo a question
Carl has a new job making $8.25 an hour. He worked 16.75 hours last week. He also
had deductions of 6.25% for Social Security and 1.45% for unemployment insurance.
What was Carl's net pay last week (the amount after deductions)?
Answer:
Step-by-step explanation:
Earnings = 16.75 hours × $8.25/hour = $138.1875
Deductions = 6.5% + 1.45% = 7.95%
net = 92.05% of $138.1875 ≈ $127.20