Answer:
V = 100.531 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder: V = πr²hStep-by-step explanation:
Step 1: Define Variables
r = 2 cm
h = 8 cm
Step 2: Find Volume
Substitute [Volume]: V = π(2 cm)²(8 cm)Exponents: V = π(4 cm²)(8 cm)Multiply: V = π(32 cm³)Multiply: V = 100.531 cm³How do you write 0.0704 in scientific notation?
Answer:
well for me I think it's
Step-by-step explanation:
7.04×10^-2
In a quadrilateral, all four of the angles are right angles. if the figure doe isn’t have four congruent sides, what is it?
rectangle
quadrilateral
rhombus
square
Answer:
rectangle
Step-by-step explanation:
Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212
Answer:
Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212
Step-by-step explanation:
Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212
Answer:
The answer is b. 3 + n / 2
Step-by-step explanation:
If integral subscript C subscript 1 end subscript F with rightwards arrow on top times d r with rightwards arrow on top equals 6 and integral subscript C subscript 2 end subscript F with rightwards arrow on top times d r with rightwards arrow on top equals 13, find A. the line integral where C is the path from P to Q over C subscript 1 and then back to P over C subscript 2. integral subscript C F with rightwards arrow on top times d r with rightwards arrow on top equals _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
To my best understanding, you're given that
[tex]\displaystyle\int_{C_1}\vec F\cdot\mathrm d\vec r=6\text{ and }\int_{C_2}\vec F\cdot\mathrm d\vec r=13[/tex]
where C₁ and C₂ are some arbitrary paths, evidently starting at the point P and ending at the point Q, and you have to find the value of
[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r[/tex]
where C is the path consisting of C₁ (from P to Q) and the reverse of C₂ (from Q back to P). So we have
[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_{C_1}\vec F\cdot\mathrm d\vec r - \int_{C_2}\vec F\cdot\mathrm d\vec r = 6-13 = \boxed{-7}[/tex]
The lines represented by the equations y - x = -8 and y = -x – 6 are
the same line
Submit Answer
neither parallel nor perpendicular
perpendicular
parallel
Answer:
Perpendicular
Step-by-step explanation:
Here, the slopes of the lines are 1 & -1
( they are same with opposite symbols) so, the lines are perpendicular
Which is greater 3/8 or 6/16
Answer:
they are the same
Step-by-step explanation:
They are the same
[tex]\frac{3}{8}\\\\=\frac{3}{8}\times\frac{2}{2}\\\\=\frac{3*2}{8*2}\\\\=\frac{6}{16}[/tex]
How can you tell the diffrence between horizontal and vertical translation in an equation?
Please, does anyone know the step to solve this equation? I mark u brainlist.
Answer:
(2, -6)
Step-by-step explanation:
First you want to set both equations equal to each other so you can find one of the variables.
y = x^2 + 3x -4
for second equation lets rearrange so we start with y=
x=y-4
add 4 to both sides
4+x = y or y= x+4
since both equations equal y, lets set them equal to each other
x+4 = x^2 + 3x -4
set it equal to 0 by subtracting x and 4 from both sides
x^2 + 2x -8 = 0
factor
(x+4) (x-2) = 0
so x has to be either -4 or 2. We can shortcut and say only B makes sense since x=2.
to double check, plug in x=2 in both equations
y= 2^2 + 3(2) -4 = 4+6 -4 = 6
2 = y -4; y=6
so B is correct.
please give thanks by clicking the heart button, i spent a while :)
A 128 inch board is cut into 3 pieces. The second piece is 33 inches longer than the first piece, and the third is three times as long as the first. Set up an equation and solve it to determine the length of the three pieces.
Answer:
The first piece is 19 inches, the second is 52, and the third piece is 57.
Step-by-step explanation:
Solve for x using (x) + (x + 33) + (3x) = 128.
What is the common difference for this arithmetic sequence?
-6, -1,4,9, 14, ...
A. 5
B. 3
C. 6
D. 4
Answer:
A. 5
Step-by-step explanation:
-6 + 5 = -1
-1 + 5 = 4
4 + 5 = 9
9 + 5 = 14
So i need help with the question below.
Answer:
Option (1)
Step-by-step explanation:
Option (1)
[tex]3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}[/tex]
[tex]3\frac{3}{9}+7\frac{6}{11}[/tex] [tex]=3+\frac{3}{9}+7+\frac{6}{11}[/tex]
[tex]=(3+7)+(\frac{3}{9}+\frac{6}{11})[/tex]
[tex]=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})[/tex]
[tex]=10+(\frac{33}{99}+\frac{54}{99})[/tex]
[tex]=10+\frac{87}{99}[/tex]
[tex]=10\frac{87}{99}[/tex]
True.
Option (2)
[tex]2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}[/tex]
[tex]2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}[/tex]
[tex]=(2+6)+(\frac{3}{8}+\frac{4}{5})[/tex]
[tex]=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})[/tex]
[tex]=8+(\frac{15}{40}+\frac{32}{40})[/tex]
[tex]=8+\frac{47}{40}[/tex]
[tex]=8+\frac{40}{40}+\frac{7}{40}[/tex]
[tex]=8+1+\frac{7}{40}[/tex]
[tex]=9+\frac{7}{40}[/tex]
[tex]=9\frac{7}{40}[/tex]
False.
Option(3)
[tex]3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}[/tex]
[tex]3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})[/tex]
[tex]=(3+4)+(\frac{3}{7}+\frac{2}{3})[/tex]
[tex]=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})[/tex]
[tex]=7+(\frac{9}{21}+\frac{14}{21})[/tex]
[tex]=7+(\frac{23}{21})[/tex]
[tex]=7+(\frac{21}{21}+\frac{2}{21})[/tex]
[tex]=8+\frac{1}{21}[/tex]
[tex]=8\frac{1}{21}[/tex]
False.
Option (4)
[tex]4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}[/tex]
[tex]4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}[/tex]
[tex]=(4+5)+(\frac{5}{6}+\frac{5}{7})[/tex]
[tex]=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})[/tex]
[tex]=9+(\frac{35}{42}+\frac{30}{42})[/tex]
[tex]=9+\frac{65}{42}[/tex]
[tex]=9+(\frac{42}{42}+\frac{23}{42})[/tex]
[tex]=9+1+\frac{23}{42}[/tex]
[tex]=10\frac{23}{42}[/tex]
False.
Therefore, Option (1) is the answer.
Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..
Complete Question
Each of the following hypothetical data set represents some repeated weighing of a standard weight that is known to have a mass of 100 g. Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..
The data in grams are
100.02 , 99.98 , 100.03
Answer:
The p-value is [tex]p-value =0.5798[/tex]
Step-by-step explanation:
Generally the sample mean of the given data is mathematically represented as
[tex]\= x = \frac{100.02 + 99.98 + 100.03 }{3}[/tex]
[tex]\= x =100.03 \ g[/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{\sum [x_i - \= x]^2 }{n-1} }[/tex]
=> [tex]s = \sqrt{\frac{[ 100.02 - 100.01]^2+ [ 99.98 - 100.01]^2+[ 100.03 - 100.01]^2 }{3-1} }[/tex]
=> [tex]s = 0.02645[/tex]
The null hypothesis is [tex]H_o : \mu = 100[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 100[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 3 - 1[/tex]
=> [tex]df = 2[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 100.01 - 100 }{\frac{0.02645}{\sqrt{3} } }[/tex]
=> [tex]t = 0.655[/tex]
From the t distribution table the probability corresponding to the t to the right of the bell curve at a degree of freedom of [tex]df = 2[/tex]
[tex]P( T > 0.655 ) = 0.2899[/tex]
Generally the p-value for this two tailed test is mathematically represented as
[tex]p-value = 2 * P(T > 0.655)[/tex]
=> [tex]p-value = 2 * 0.2899[/tex]
=> [tex]p-value =0.5798[/tex]
The weight of a child in 1990 was 40 lb. By 2005, the child's weight
had increased to 90 lb. What was the percent increase?
Answer:
225%
Step-by-step explanation:
1. Divide the new weight by the original weight.
90/40 = 2.25.
2. Multiply by 100 to get the percentage.
2.25 x 100 = 225%
The percentage increase of the child from 1990 to 2005 is 125%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The weight of a child in 1990 was 40 lb. By 2005, the child's weight
had increased to 90 lb.
So, The amount of weight increase is (90 - 40)lb = 50lb.
∴ The percentage increase is,
= (50/40)×100%.
= 125%.
learn more about percentage change here :
https://brainly.com/question/14801224
#SPJ2
What is the digit to the right of the decimal point in the decimal form of 4/37
?
Answer:
2/15
Step-by-step explanation:
this has me a bit confused...can anyone help?
Answer:
x = 3b/2 + 3y/2
Step-by-step explanation:
Goal: Find x
To do that we must isolate x on one side of the equation.
2/3x - y = b
2/3x - y + y = b + y
2/3x = b + y
2/3x ÷ 2/3 = b + y ÷ 2/3
(When we divide fractions we multiply by its reciprocol.)
x = 3b/2 + 3y/2
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Two researchers make a test concerning standardized exam performance among senior high school students in one of two local communities. Researcher A tests performance from the population in the northern community, where the standard deviation of test scores is 110 ( ); Researcher B tests performance from the population in the southern community, where the standard deviation of test scores is 60 ( ). All other things being equal, which researcher has more power to detect an effect? Explain.
Answer:
Researcher B
Step-by-step explanation:
Normally, when all other things being equal, we usually say that power is higher when the standard deviation is small than when it is large.
Now, from researcher A, standard deviation is 110 while from researcher B, standard deviation is 60.
We can see that the standard deviation for researcher B is smaller than that of researcher A.
Therefore, we can conclude that since the standard deviation for researcher B is lesser than that of researcher A, it means that Researcher B will have more power to detect an effect.
How to write slope intercept form of
y = -5/4 (x+4)
Answer: y=−5/4x−5
Step-by-step explanation:
which one of these
do you know which one of these will help me like 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 6 * 3 6+6+
3*66+3
Answer:
447
Step-by-step explanation:
Answer:
447
Step-by-step explanation:
A football pitch is 110m long and has a perimeter of 360m . Find the area of the football pitch .
Answer:
same
Step-by-step explanation:
bro
The area of the given football pitch is required.
The area of the football pitch is [tex]7700\ \text{m}^2[/tex]
Area and perimeterl = Length of pitch = 110 m
P = Perimeter of pitch = 360 m
w = Width of pitch
Football pitches are rectangular.
Perimeter of the pitch is given by
[tex]P=2(l+w)\\\Rightarrow w=\dfrac{P}{2}-l\\\Rightarrow w=\dfrac{360}{2}-110\\\Rightarrow w=70\ \text{m}[/tex]
Area is given by
[tex]A=lw\\\Rightarrow A=110\times 70\\\Rightarrow A=7700\ \text{m}^2[/tex]
Learn more about area and perimeter:
https://brainly.com/question/19819849
The sum of eighteen and eight times a number is ninety.
what is the number?
Answer:
9
Step-by-step explanation:
9x8=72 72+18=90
Which equation represents the parabola shown on the
graph?
A. y2 = -2x
B. y2 = -8%
C. x2 = -2y
D. x2 = -8y
Answer:
y2=-8x is what's graphed so B.
Step-by-step explanation:
(I think you mistyped the choice)
Answer:
Which equation represents the parabola?
a) y2 = –2x
b) x2 = –2y
c) y2 = –8x
d) x2 = –8y
Step-by-step explanation:
C for edge 2021
what is 13,931 rounding by 10
Answer:
13,930
Habe ein gut tag.
Help 6th grade math thanks
Here are the monthly charges for Jo's mobile phone
Monthly charge 616
150 free minutes, then 18p per minute
150 free texte, then 18p per text
During one month, Jo makes 170 minutes of calls and sends 182 texte,
Work out the total charge for the month
what is the incline slope of the ramp?
Rise= 2 feet
run = 10 feet
Charles received a $3.00 tip from a customer who had a $12.00 bill. Which decimal represents the fraction of the bill Charles received as a O 0.12 0 0.25 O 0.3 O 0.4
Answer:
I think 0.4 would be the answer
Answer:
0.12 go to places to the left
2 Which expression is equivalent to
5 - 14? Select all that apply.
A -3.3
B
9+ (-1)
C
- 5+ 14
D 14 - (-5)
Answer:
C because two them answer is same!!
Step-by-step explanation:
-5+14=9
5-14=9
Answer:
Not a because it is -9.
Not b, that is 8,
not c that is 9
not d that is 19
None are correct?
Step-by-step explanation:
g A nationwide survey of 17,000 college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking. If 18 of these seniors are selected at random and asked their opinion, what is the probability that more than 9 but fewer than 14 disapprove of smoking pot daily
Answer:
the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608
Step-by-step explanation:
From the information given:
Let N represent the total number of senior students
N = 17000
and k to be the number of seniors disapproving of daily pot smoking
k = 17000 × 0.70
k = 11900
sample size n = 18
Suppose X represents the random variable...
Then,
X = 0,1,2,...,18
Thus X follows a hypergeometric distribution with parameters
(N = 17000, n = 18 & k = 11900)
Thus, the probability mass function is:
[tex]P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}[/tex]
[tex]P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }[/tex]
[tex]P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18[/tex]
Now, the required probability is computed as:
[tex]P(9<X<14) = P(10 \le X \le13)[/tex]
[tex]P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)[/tex]
[tex]P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}[/tex]P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018
P(9<X<14) = 0.608
Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608
I really don't understand all of this
Answer:
Step-by-step explanation:
Distribute each one like a robot
Or factor it like a human.
5(x+2y - 3)
Answer:
[tex]5(x + 2y - 3)[/tex]
Step-by-step explanation:
[tex]the \: answer \: while \\ \: expanding \: will \: get \: like \: this \\ \\ 5(x + 2y - 3) \\ = (5 \times x) +( 5 \times 2y )+ (5 \times - 3) \\ = 5x + 10y - 15 \\ \\ hope \: it \: helps \\ plzzz \: mark \: it \: as \: brainliest...[/tex]
9 cm
14 cm
If the lengths of all 4 sides of the rectangle are doubled,
then the area will
Answer:
I think it's 149cm
Step-by-step explanation:
I just doubled the numbers and multiplied them