Answers
Step-by-step explanation:
10:
[tex] \sqrt{50} = \sqrt{2 \times 25} = \sqrt{2} \times \sqrt{25} = \: 2 \times \sqrt{5} [/tex]
11:
[tex] \sqrt{88} = \sqrt{4 \times 22} = \sqrt{4} \times \sqrt{22} = \: \: \: \: \: 2 \times \sqrt{22} [/tex]
12:
[tex] \sqrt[3]{54} = \sqrt[3]{ {3}^{3} \times 2} = \sqrt[3]{ {3}^{3} } \times \sqrt[3]{2} = \: \: \: \: \: 3 \times \sqrt[3]{2} [/tex]
Related Questions
A car which originally cost $3000000 when new decreases in value by 20% during the first year. what is the value of the car at the end of the first year. No Links please
Answers
Answer:
2,400,000
Step-by-step explanation:
A weapons manufacturer uses a liquid propellant to produce gun car- tridges. During the manufacturing process, the propellant can get mixed with another liquid to produce a contaminated cartridge. A University of South Florida statistician, hired by the company to inves- tigate the level of contamination in the stored cartridges, found that 23% of cartridges in a particular lot were contaminated. Suppose you randomly sample (without replacement) gun cartridges from this lot until you nd a contaminated one. Let x be the number of cartridges sampled until a contaminated one is found. It is known that the probability distribution for x is given by the formula:
P(x) = (.23)(.77)x-1, x = 1,2,3,....
A. Find p1.
B. Find p5.
C, Find P{xk's are greater than or equal to 2}.
Answers
Answer:
[tex]P(1) = 0.23[/tex]
[tex]P(5) = 0.0809[/tex]
[tex]P(x\ge 2) = 0.471[/tex]
Step-by-step explanation:
Given
[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]
Solving (a): P(1)
This gives:
[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]
[tex]P(1) = 0.23 * 0.77^{1-1}[/tex]
[tex]P(1) = 0.23 * 0.77^0[/tex]
[tex]P(1) = 0.23 * 1[/tex]
[tex]P(1) = 0.23[/tex]
Solving (b): P(5)
This gives:
[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]
[tex]P(5) = 0.23 * 0.77^{5-1}[/tex]
[tex]P(5) = 0.23 * 0.77^{4}[/tex]
[tex]P(5) = 0.23 * 0.35153041[/tex]
[tex]P(5) = 0.0809[/tex]
Solving (c): [tex]P(x \ge 2)[/tex]
To do this, we make use of complement rule
[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]
[tex]P(x < 2)[/tex] is calculated as:
[tex]P(x < 2) = P(0) +P(1)[/tex]
Calculate P(0)
[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]
[tex]P(0) = 0.23 * 0.77^{0-1}[/tex]
[tex]P(0) = 0.23 * 0.77^{-1}[/tex]
[tex]P(0) = 0.299[/tex]
In (a):
[tex]P(1) = 0.23[/tex]
So:
[tex]P(x < 2) = P(0) +P(1)[/tex]
[tex]P(x < 2) = 0.299 + 0.23[/tex]
[tex]P(x < 2) = 0.529[/tex]
So:
[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]
[tex]P(x\ge 2) = 1 - 0.529[/tex]
[tex]P(x\ge 2) = 0.471[/tex]
ryan deposited $1,000 into an accontthat earns 5% simple annual interest. how much does ryan have total after 10 years
Answers
Answer:
$500
Step-by-step explanation:
1000x.05=50 per year
50/year x 10 years =500
What is the y-intercept?
f(x)= 5^x-8
PLZZZZZ HELP
Answers
Answer:
(0,-7) is the y-intercept
Step-by-step explanation:
Rational Equations
- It takes one worker 12 hours to complete a specific job. If two workers do the same job, it takes them 6 hours to finish the job. How long would it take 6 workers to do the same job?
It will take ____ hours.
Answers
Answer:
2 hours
Step-by-step explanation:
2,4,6,8,10,&12
1, 2,3, 4, 5, &6
Hope this helps :)
Which statement about the relationship between different types of triangles is true? (2 points)
An equilateral triangle is never an obtuse triangle.
An equilateral triangle is never an isosceles triangle.
A right triangle is always an isosceles triangle.
An obtuse triangle is always an acute triangle.
Answers
Answer:
A right triangle is always an isosceles triangle.An equilateral triangle is never an obtuse triangle.
Answer:
A right triangle is always an isosceles triangle.
Step-by-step explanation:
Heather can type 210 words and 6 minutes what is her unit rate in words per minute
Answers
Answer:
35 words per minute
Step-by-step explanation:
210/6=35
[tex]if x^2 = 17x + y \: and \: y {}^{2} = 17y + x \: then \: find \sqrt{x {?}^ + {y { }^{2} + 1 } } [/tex]
Answers
Answer:
Bro wat
Step-by-step explanation:
Please answer if you can
Answers
Answer:
y = 15°
∠A = 78°
∠B = 68°
∠BAC = 34°
Step-by-step explanation:
∠BAC = 180° - 146° = 34°
the sum of the interior angles of any triangle is 180°
5y + 3 + 4y + 8 + 34° = 180°
combine like terms:
9y + 45° = 180°
subtract 45° from each side of the equation:
9y = 135°
divide both sides by 9:
y = 15°
∠A = 5(15) + 3 = 78°
∠B = 4(15) + 8 = 68°
Question 20
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children
must be 1:8
Penny has 56 children at the nursery.
(a) Work out the number of adults Penny needs for 56 children.
Answers
Answer: 7
Step-by-step explanation:
We know that the ratio adults: children must be 1:8.
So if there are 58 children the ration is x: 56
56/8 (to find the number of adults) = 7
7:56 = 1:8
round to nearest 1000 place
5932
26148
527061
Answers
Answer:
5932-6000
26148-26000
527061-527000
Function or a Relation?
X Y
-13 -3
-3 7
12 -13
17 8
-3 14
0 -19
Answers
Answer:
Hi! The answer to your question is Relation
Step-by-step explanation:
To be a function the x values can't repeat, since they do, its a relation
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
Find their ages.
Answers
Answer:
John is 17,
Susan is 14,
and Khalid is 9.
Step-by-step explanation:
a = John's age
b = Susan's age
c = Khalid's age
Let's set our rules from the given information.
a = b + 3
c = b - 5
a + b + c = 40
Now, we can solve for b through substitution.
(b + 3) + b + (b - 5) = 40
3b - 2 = 40
3b = 42
b = 14
So, now that we have Susan's age, we can follow the rules and see if it holds.
17 + 14 + 9 = 40 Viola!
Cairde will mark brainliest!!!!
Answers
Answer:
mMN=190°
Step-by-step explanation:
Let the centre of the circle be C
An angle at the circumference of a circle is half the angle at the centre standing on the same arc.
Therefore:
2(<MLN)=<MCN
<MCN=2(95)=190°
mMN=<MCN=190°
help pls asappp!!!no rocky!
Answers
Step-by-step explanation:
slope = -9
y - -4 = 9(x - 2)
y+ 4 = 9x -18
y = 9x - 22
please help with this problem
Answers
Answer:
C. equilateral
Step-by-step explanation:
Since each of the angles of Triangle ABC have equivalent values (each are 60 degrees), each of the sides also must have equivalent values.
Thus, since all three sides are the same length, the triangle created is equilateral.
Have a nice day! ^-^
PLS HELPPPPP Find the perimeter of AXYZ. *
1 point
M, N, and O are the midpoints of the sides of XYZ.
Answers
Answer:
XY=2 ON mid point theorem
so XY=8
yz=2 OM
so yz= 6
since o is the mid point
xz=2 OZ
so xz=10
perimeter =8+6+10
=24 cm is the answer
hope it helps..
Determine the equation of this circle. *
Answers
Answer:
b is correct center of circle is x=4 y=-2
radius = 3
What is the equation of this line?
Y=3x
Y=3
Y=-3
X=3
Answers
The sum of a number, n, and 6.05 is 12.4. What is n?
Answers
Answer:
2.04
Step-by-step explanation:
Equation: 6.05n=12.4=
Answer:
n = 6.35
Step-by-step explanation:
Okay, so this is a basic algebraic expression, so you'd set it up like:
n + 6.05 = 12.4
And now you have to do the inverse operations thing:
12.4 - 6.05 = 6.35
So, n = 6.35
hope this helps:)
The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in degrees Fahrenheit in Centerville.
b.) What is the maximum high temperature and when does this occur?
NOTE: I found the answer online, I just don't understand how to get there. It's July 15, 85 degrees.
Answers
Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:
[tex]\sin{(\frac{\pi}{2})} = 1[/tex]
y=60+25sin(pi/6)t
The maximum value will occur when [tex]\sin{(\frac{\pi t}{6}}) = 1[/tex], and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is [tex]\frac{\pi}{2}[/tex]. So
[tex]\frac{\pi t}{6} = \frac{\pi}{2}[/tex]
[tex]\frac{t}{6} = \frac{1}{2}[/tex]
[tex]2t = 6[/tex]
[tex]t = \frac{6}{2} = 3[/tex]
That is the number of months after April 15, which is 3 months. So July 15.
Two students went shopping and bought $150 worth of clothes they had to pay an additional $14.78 in tax. Estimate the tax rate they had to pay.
Answers
Answer:
10.15
Step-by-step explanation:
I divided the worth of clothe and the tax
Pre-cal! Need help! Which of the following options best represent(s) the quotient of z1 and z2? Select all that apply.
Answers
Answer:
Remind me if i'm wrong, 2nd, 3rd, 5th are the right answers .
Find the fifth term of the binomial expansion.
(x2+y5) ^8
Answers
Answer:
The fifth term of the binomial expansion
[tex]T_{5} = 70 x^{8} y^{20}[/tex]
Step-by-step explanation:
Step:1
Given that the binomial expansion
( x² + y⁵ )⁸
we know that
[tex]T_{r+1} = n_{C_{r} } a^{r} x^{n-r}[/tex] ...(i)
Step:2
put r = 4
[tex]T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}[/tex]
[tex]T_{5} = 70 x^{8} y^{20}[/tex]
Final answer:-
The fifth term of the binomial expansion
[tex]T_{5} = 70 x^{8} y^{20}[/tex]
the ratio of pigs to cows at the farm is 16:2. If the total number of animals is 72. How many pigs are there?
Answers
Answer:
There are 64 pigs
Step-by-step explanation:
pigs: cows: total
16 2 16+2
16 2 18
There are 72 animals
72 /18 = 4
Multiply each number by 4
pigs: cows: total
16*4 2*4 18*4
64 8 72
There are 64 pigs
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample? The representative sample contained all 160 students. The representative sample contained more boys than girls. The representative sample contained more girls than boys. The representative sample contained an equal number of boys and girls.
Answers
Answer:
The representative sample contained more girls than boys.
The true representative sample:
The representative sample contained more girls than boys.
The correct option is C.
What is sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of potential experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given:
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip.
A random sample of students is chosen.
Surveying the random sample produced a representative sample of the population.
The total number of students = 160
The number of girls = 95
The number of boys = 65
Clearly, the number of girls is more than the number of boys.
Therefore, the sample should contain more girls than boys.
To learn more about the sample space;
https://brainly.com/question/28043513
#SPJ3
Which are dependent events?
A. rolling two number cubes
B. tossing the same coin two times
C. spinning a spinner and rolling a number cube
D. taking two marbles from a box without replacing the first marble
Answers
Answer:
D. taking two marbles from a box without replacing the first marble are dependent events
[tex]----------[/tex]
hope it helps
have a great day!!
You toss a coin 15 times. P( heads) 2/5=
Answers
2/5 = 0.4
Because
2/5 2 divide 5 = 0.4
betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14 cubic inches per minute, how long will it take for all the liquid in the nozzle to pass through(Use Pi = 3.14
Answers
Answer:
4.71 minutes
Step-by-step explanation:
Incomplete question [See comment for complete question]
Given
Shape: Cone
[tex]r = 3[/tex] -- radius
[tex]h = 7[/tex] --- height
[tex]Rate = 14in^3/min[/tex]
Required
Time to pass out all liquid
First, calculate the volume of the cone.
This is calculated as:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
This gives:
[tex]V = \frac{1}{3} * 3.14 * 3^2 * 7[/tex]
[tex]V = \frac{1}{3} * 197.82[/tex]
[tex]V = 65.94in^3[/tex]
To calculate the time, we make use of the following rate formula.
[tex]Rate = \frac{Volume}{Time}[/tex]
Make Time the subject
[tex]Time= \frac{Volume}{Rate }[/tex]
This gives:
[tex]Time= \frac{65.94in^3}{14in^3/min}[/tex]
[tex]Time= \frac{65.94in^3}{14in^3}min[/tex]
Cancel out the units
[tex]Time= \frac{65.94}{14} min[/tex]
[tex]Time= 4.71 min\\[/tex]
Answer:
The time it will take for all the liquid to pass through is 4.71 minutes.
-Don't worry it's been already verified by myself .
Factor the expression shown below completely.
18.12
603 + 50
OA. 2(31 – 5)2
OB. 2(6.1 – 5)2
OC. 3(2x - 5)
OD. 6(3.1 – 5)
RIGHT ANSWERS ONLY
Answers
A. 2(3x-5)²
Step-by-step explanation:
18x² - 60x + 50
= 2 (9x² - 30x + 25 ) ⇒⇒⇒ take 2 as common from all terms
note: 9x² = 3x * 3x and 25 = 5*5 and
3x * 5 *2 = 30x
so, this is a complete square
= 2(3x-5)(3x-5)
= 2(3x-5)²