Answer:
area =
Step-by-step explanation:
(4x+5)×3× = 12×^2+15
because
area = length × breadth
ans= 12x^2+15.
Step-by-step explanation: Area of a rectangle is length * breadth= distributive property of multiplication :(4x+5)*3x= 12x^2+15x [m^2 or sq.m}
What ray is a common side of
What is the domain of the equation y=1/X+5?
Answer:
Domain is
{
x
∈
R
;
x
≠
−
5
}
Range is
{
y
∈
R
;
y
≠
0
}
Step-by-step explanation:
Explanation:
Domain: Denominator should not be
0
∴
x
+
5
≠
0
or
x
≠
−
5
Domain is any real value except
x
=
−
5
or
{
x
∈
R
;
x
≠
−
5
}
Range is any real value except
y
=
0
or
{
y
∈
R
;
y
≠
0
}
graph{1/(x+5) [-10, 10, -5, 5]}
Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 49 days and a standard deviation of 10.2 days. Find the probability that a simple random sample of 64 protozoa will have a mean life expectancy of 54 or more days.
Answer:
The probability that a simple random sample of 64 protozoa will have a mean life expectancy of 54 or more days is P(M>54)=0.00004.
Step-by-step explanation:
In this case, we have a population lifetime normally distributed with mean 49 and standard deviation 10.2.
We take a sample of size n=64.
Then, we can calculate the z-score for a sample mean M=54, in order to calculate P(M>54):
[tex]z=\dfrac{X-\mu}{\sigma/\sqrt{n}}=\dfrac{54-49}{10.2/\sqrt{64}}=\dfrac{5}{1.275}=3.922\\\\\\P(M>54)=P(z>3.922)=0.00004[/tex]
The probability that a simple random sample of 64 protozoa will have a mean life expectancy of 54 or more days is P(M>54)=0.00004.
The height of a projectile launched upward at a speed of 32 feet/ second from a height of 128 feet is given by the function h(t)=-16t^2+32t+128. How long will it take the projectile to hit the ground?
Answer:
8.51 seconds
Step-by-step explanation:
Time to reach maximum height
=( Usin90)/2g
= 32/2*9.81
= 32/19.62
= 1.63 s
Max height = U²Sin²tita/g
= 32²/9.81
= 1024/9.81
= 104.38ft
Total height=104.38 + 128= 232.38
Time to fall back to the ground using the formula
h = ut+(1/2)gt²
U= 0
H= 232.38
g = 9.81
(232.38 *2 )/9.81= t²
47.376= t²
t = 6.88 s
Total time taken to hit ground
= 6.88 + 1.63
= 8.51 seconds
Find the value of x.
Answer:
[tex]\huge\boxed{x=\sqrt{66}}[/tex]
Step-by-step explanation:
ΔADC and ΔABD are similar (AAA)
Therefore the cooresponging sides are in proportion:
[tex]\dfrac{AD}{AC}=\dfrac{AB}{AD}[/tex]
Substitute
[tex]AD=x;\ AC=6+5=11;\ AB=6[/tex]
[tex]\dfrac{x}{11}=\dfrac{6}{x}[/tex] cross multiply
[tex](x)(x)=(11)(6)\\\\x^2=66\to x=\sqrt{66}[/tex]
In a random sample of 400 registered voters, 120 indicated they plan to vote for Candidate A. Determine a 95% confide
Answer:
Step-by-step explanation:
Using the formula
p +/- (z* √[p(1-p) /n]
Where p is sample proportion = 120/400= 0.3 z*= 1.96 (z score for 95% confidence) and n is 400.
0.3 + (1.96 √[0.3(1-0.3) / 400])
0.3 + (1.96 √[(0.3*0.7)/400
0.3 + (1.96√ (0.21/400))
0.3 + (1.96 √0.000525)
0.3 + (1.96* 0.023)
0.3 + (0.045)
= 0.345 ~ 35%
For the lower interview
0.3 - (0.045)
= 0.255 ~ 26%
Thus, a 95% confidence interval for this study is between 26% and 35%
9(d − 93) = –36 d = _______
Steps to solve:
9(d - 93) = -36d
~Distribute
9d - 837 = -36d
~Subtract 9d to both sides
-837 = -45d
~Divide -45 to both sides
18.6 = d
Best of Luck!
Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of the first year he had earned $590 in interest. How much was in each account? $_____ at 12% $_____ at 7%
Answer:
The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
Step-by-step explanation:
Let x be the amount in the account at 12% interest
So, 6000-x is the amount in the second account at 7% interest
[tex]SI = \frac{P \times T \times R}{100}[/tex]
First account:[tex]SI=\frac{x \times 1 \times 12}{100}[/tex]
Second account : [tex]SI =\frac{(6000-x) \times 1 \times 7}{100}[/tex]
We are given that At the end of the first year he had earned $590 in interest.
So, [tex]\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400[/tex]
So,the amount in the account at 12% interest is $3400
The amount in the second account at 7% interest =6000-x=6000-3400=2600
Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
Two parallel lines are crossed by a transversal.What is the value of d?
Step-by-step explanation:
if there is any confusion then again ask me always with you
Answer:
d = 125
Step-by-step explanation:
E2020
pls mark Brainliest
O número inteiro positivo, cujo produto de seu antecessor com seu sucessor é igual a 8, é
A) 5
B) 4
C) -3
D) 3
El 2
Answer:
Olá!
`~~~~~~~~~~~~~~~~~~
3 (número inteiro positivo)
2 (antessor)
4 (sucessor)
Para provar isso, simplesmente multiplicamos entre 4 e 2:
4 x 2 = 8
Espero que isso tenha ajudado! Também seria bom se você me desse Brainliest!
Which of the following lists of ordered pairs is a function?
Α. (Ο, 2), (2, 3), (ο, - 2), (4, 1)
Β. (1, 2), (1,2), 2), (3, 4)
C. 1, 5). 2, 1, 4, 9), το, 5)
D. (2, 4), (0, 2), (2, -4), (5, 3)
Answer:
the answer will be D
Step-by-step explanation:
Please answer this correctly as soon as possible
Answer:
Number of cards = 7
Number of cards not greater than 4 = 2
P( not greater than 4) = 2/7
Hope this helps
We are given 7 cards and we choose at random.
There are only 2 cards that are less then 4 so that means 2/7 is not greater than 4.
So P(2/7)
The answer is 2/7
Best of Luck!
Create a unique equation using the graphic above with the solution (answer)36
6*6 = 36
36/6=6
6^2
please mark me brainliest!
The equation will be:
What is a Coordinate Plane?A coordinate plane is a graphing and description system for points and lines.
How to determine?Now create your equation using the values below: mm: If the answer is 12, there are
several possible equations: 2D+G=12 —r 2(3)+fi=12 4C+H—D —1 4(2)+T—3 DQC} —+ 3(2 1: 2) There are many
more options!
Learn more about Coordinate plane:
brainly.com/question/25516093
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evaluate the expression 5 square minus (3 square+4)
Answer:
12
Step-by-step explanation:
We have 5 squared minus (3 squared plus 4). Convert this to mathematical expression:
- "5 squared" = 5²
- "minus" = -
- "3 squared" = 3²
- "plus 4" = + 4
Put it altogether:
5² - (3² + 4)
5² = 5 * 5 = 25 and 3² = 3 * 3 = 9, so:
25 - (9 + 4) = 25 - (13) = 12
The answer is thus 12.
~ an aesthetics lover
Answer:
12
Step-by-step explanation:
Math
(2m^4) • m3
Need help ASAP I have the answer but I need help showing work
Answer:
4m^11
Step-by-step explanation:
2m^4.2 you multiply powers in paranthesis
2m^8 result
2m^8.m^3
You add the exponents together because it is same base and put the 4 because 2 to the power of 2 is 4
4m^11
Answer: 4[tex]m^{11}[/tex]
Step-by-step explanation:
(2m^4)^2 * m^3
Expand
[tex]2^{2} * m^{8} *m^{3}[/tex] add the exponents since they have the same base
[tex]4m^{11}[/tex]
b) A grocer sold 5 kg of wheat flour at Rs 30 per kg and gained 20%. If he had sold
it at Rs 27 per kg, what would be his gain or loss percent?
Answer:
22.5%
Step By Step Explanation:
1) the amount which will be obtained when 5 kg of rice is sold for Rs30 per kg=150 kg
2) the amount which will be obtained when 5 kg of rice is sold for Rs27 per kg=135 kg
3)difference of Both the no. = 150-135
= 15 kg
4) ans as percentage = 15% of 150
= 22.5%
WARNING:- NOT SURE WITH THE ANSWER
Ujalakhan01! Please help me! ASAP ONLY UJALAKHAN01. What's (x-1)(x-1)?
Answer:
[tex]x^2-2x+1[/tex]
Step-by-step explanation:
=> (x-1)(x-1)
Using FOIL
=> [tex]x^2-x-x+1[/tex]
=> [tex]x^2-2x+1[/tex]
Answer:
[tex]\boxed{x^2-2x+1}[/tex]
Step-by-step explanation:
[tex](x-1)(x-1)[/tex]
Apply FOIL Method.
[tex]x(x-1)-1(x-1)[/tex]
[tex]x^2-x-x+1[/tex]
Combine like terms.
[tex]x^2-2x+1[/tex]
Last winter Armand had StartFraction 5 Over 6 EndFraction of a row of stacked logs. At the end of the winter he had StartFraction 8 Over 15 EndFraction of the same row left. How much wood did he burn over the winter?
Answer:
3/10
Step-by-step explanation:
We have that the Armans last winter had 5/6 of a row of stacked logs and at the end of the winter he had 8/15 of the same row left, therefore:
Ambitious
First we have to do is that the denominator is the same.
in the case of 5/6 it would be 25/30
and for 8/15 it would be 16/30
Now if we can do the subtraction and it would be:
25/30 - 16/30 = 9/30 or what equals 3/10
3/10 was the amount of wood he burned in the winter
Answer:
D) 3/10 row
Step-by-step explanation:
Bill must take an 8-question true/false quiz and has to guess on each problem. How many
ways is it possible to answer the quiz questions?
Answer:40320
Step-by-step explanation:
8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320 and there are 8 questions total
Suppose you are starting your own company selling chocolate covered strawberries. You decide to sell the milk chocolate covered strawberries for a profit of $2.25 $ 2.25 /box and the white chocolate covered strawberries at $2.50 $ 2.50 /box. Market tests and available resources, however, have given you the following constraints. The combined production level should not exceed 800 800 boxes per month. The demand for the white chocolate is no more than half the demand for milk chocolate strawberries. The production level for white chocolate should be less than or equal to 200 200 boxes.
Answer:
$1850 per month
Step-by-step explanation
There are two types of chocolates that can be produced milk chocolate and strawberry covered chocolate. To find the profit we make following equation,
P = $2.25 SC + $2.50 WC
where SC is strawberry chocolate and WC is White milk chocolate.
The maximum production level can be 800 boxes per month and white chocolates can not exceed the 200 boxes per month so we assume making 600 boxes of Strawberry covered chocolates and 200 boxes of white chocolates.
Profit = 2.25 * 600 + 2.50 * 200
Profit = $1850
This is the maximum profit that can be earned after making combination of two types of chocolates.
Finding missing angles
Answer:
x=15
Step-by-step explanation:
165+x=180
180-165=15
Hope this helps!!
Please answer this correctly
Answer:
1/4
Step-by-step explanation:
The probability of landing on an odd number is 2/4.
The probability of landing on a number greater than 5 is 2/4.
2/4 × 2/4
4/16 = 1/4
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 75 pounds. The truck is transporting 55 large boxes and 50 small boxes. If the truck is carrying a total of 4025 pounds in boxes, how much does each type of box weigh?
Answer:
There are 50 large boxes.
Step-by-step explanation:
First, "boxes of two sizes" means we can assign variables:
Let x = number of large boxes
y = number of small boxes
"There are 115 boxes in all" means x + y = 115 [eq1]
Now, the pounds for each kind of box is:
(pounds per box)*(number of boxes)
So,
pounds for large boxes + pounds for small boxes = 4125 pounds
"the truck is carrying a total of 4125 pounds in boxes"
(50)*(x) + (25)*(y) = 4125 [eq2]
It is important to find two equations so we can solve for two variables.
Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x:
x = 115 - y [from eq1]
50(115-y) + 25y = 4125 [from eq2]
5750 - 50y + 25y = 4125 [distribute]
5750 - 25y = 4125
-25y = -1625
y = 65 [divide both sides by (-25)]
There are 65 small boxes.
Put that value into either equation (now, which is easier?) to solve for x:
x = 115 - y
x = 115 - 65
x = 50
There are no solutions to the system of inequalities shown below.
y< 3x+ 5
y> 3x-1
True or false
Someone help please
Answer:
False, there are actually infinite solutions as these are parallel lines.
Step-by-step explanation:
The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with 10-meter sides.
The heights of the pyramids are the same.
The volume of pyramid Als
y the volume of pyramid B. If the helght of pyramid B increases to twice that of pyramid A, the
new volume of pyramid B is
the volume of pyramid A.
Answer:
a. The volume of Pyramid A is double that of Pyramid B.
b. The new volume of B is equal to the volume of A.
Step-by-step explanation:
The base of pyramid A is a rectangle with length 10 meters and width 20 meters.
The base of pyramid B is a square of side length 10 meter.
Both pyramids have the same height, h.
The volume of a pyramid is given as:
V = lwh / 3
where l = length
w = width
h = height
The volume of Pyramid A is:
V = (10 * 20 * h) / 3 = 66.7h cubic metres
The volume of Pyramid B is:
V = (10 * 10 * h) / 3 = 33.3h cubic metres
By comparing their values, the volume of Pyramid A is double that of Pyramid B.
If the height of B increases to 2h, its new volume is:
V = (10 * 10 * 2h) / 3 = 66.7h cubic metres
The new volume of B is equal to the volume of A.
Which of the following points satisfies the inequality x ≥ -3? (select all that apply) a(0, -2) b(-3, 4) c(-4, 2) d(5, -5)
Answer:
a, b, d
Step-by-step explanation:
For the inequality x ≥ -3 . . .
a(0, -2) . . . 0 ≥ -3, true
b(-3, 4) . . . -3 ≥ -3, true
c(-4, 2) . . . -4 ≥ -3, FALSE
d(5, -5) . . . 5 ≥ -3, true
Points a, b, d satisfy the inequality.
Skylar has 4 times as many books as Karen. If Skylar has 164 books, how many books does Karen have?
Answer:
41
Step-by-step explanation:
If Skylar has 4 times as many books as Karen, that means that you have to do a division problem to figure out how books Karen has. Because Skylar has 4 times as many books, and she has 164 books, the division problem is 164÷4=41 books.
The number of books Karen has will be 41.
What exactly is simplification?Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Let,
Skylar has x number of books
Karen has y number of books = 164
Given condition;
y=4x
164=4x
x=41 books
Hence Karen has 41 books.
To learn more about the simplification, refer to:
https://brainly.com/question/23509407
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What is the quotient in polynomial form?
Answer:
The quotient in polynomial form= 2x + 6
Step-by-step explanation:
In order to calculate the quotient in polynomial form of the following synthetic division we would have to make the following:
According to the given data we have the following:
-1|2 8 6
Therefore, quotient in polynomial form would be calculated as follows:
-1 | 2 8 6
-2 -6
2 6 0
Therefore, quotient in polynomial form= 2x + 6
The quotient in polynomial form= 2x + 6
A test of a printed circuit board uses a random test pattern with an array of 8 bits and each is equally likely to be 0 or 1. Write down the number of different bytes of possible different series.
Answer:
256.
Step-by-step explanation:
Each position can be one of 2 states so the number of possibilities
is 2^8 = 256.
I NEED HELP PLEASE, THANKS! :)
Answer:
Symmetric with respect to the polar axis in agreement with the second answer listed.
Step-by-step explanation:
This is the shape of a cardioid [tex]14\,(1+cos(\theta))[/tex] it contains the function cosine of the angle so it must be symmetric with respect to the polar axis, since the cosine function is also symmetric for positive and negative values of the angle.