Answer:
Step-by-step explanation:
[tex]-11 \frac{2}{3} x -4\frac{1}{5} =[/tex]
First we change the mix number fractions into a improper fraction
[tex]\frac{-11*3+2 }{3} x- \frac{4*5+1}{5} =[/tex]
[tex]\frac{-33+2}{3} x- \frac{20+1}{5} =[/tex]
[tex]\frac{-31}{3}x - \frac{21}{5} =[/tex]
Give both fractions the common denominator 15 and subtract the fractions
[tex]\frac{-31x*5}{15} - \frac{21*3}{15}=[/tex]
[tex]\frac{-155x -63}{15}[/tex]
13.) Find the area of the shaded region if the side length of the square is 8 in.
Help fast please!
Answer:
Area of shaded region = 6.88 square inchesStep-by-step explanation:
Area of shaded region
When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).
[tex]\sf \boxed{\text{Area of the shaded region =$\dfrac{Area \ of \ square - area \ of \ circle}{2}$}}[/tex]
Area of square = side *side
= 8 * 8
= 64 square inches
Circle:diameter of the circle = side of the square
d = 8 in
r = 8/2 = 4 in
[tex]\sf \text{Area of circle = \pi r^2}[/tex] Area of circle = πr²
= 3.14 * 4 * 4
= 50.24 square inches
[tex]\sf \text{Area of shade region = \dfrac{64 - 50.24 }{2}}[/tex]
[tex]\sf \text{Area of the shade region = $\dfrac{64 - 50.24}{2}$}[/tex]
[tex]\sf = \dfrac{13.76}{2}\\\\= 6.88 \ square inches[/tex]
If a subtended arc has a measure of ______, then the
A. 40 B. 70 C. 110 D. 60
inscribed angle must have a measure of ______.
A. 210 B. 220 C. 20 D. 140
Answer: A, C
Step-by-step explanation:
The measure of an incsribed angle is half the measure of the arc it subtends.
If a cat falls out of a tree, it has a probability of 0.92 that it will land
on its feet. If a cat climbs a tree and falls out, then climbs the tree
and falls out again, what is the probability that it lands on its feet
both times?
The probability that the cat lands on its feet both times it falls out of a tree is 0.85
How to determine the probability?The probability that the cat lands on its feet is given as:
P(Feet) = 0.92
The probability that it lands on its feet twice is calculated using:
P = P(Feet) * P(Feet)
So, we have:
P = 0.92 * 0.92
Evaluate
P = 0.85
Hence, the probability is 0.85
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(6h+2)+(-7h-8) simplify?
Answer:
-h - 6
Step-by-step explanation:
(6h + 2) + (-7h - 8) <== remove parenthesis
6h + 2 - 7h - 8 <== combine like terms
6h - 7h + 2 - 8
-h - 6
Hope this helps!
Population of fishes in a pond is directly proportional to amount of fishes present in the bond. if initially there are 5000 fishes in the pond. (a) write it in the form of differential equation. (b)find its general solution. (c) What will be the population after 6 months
Using separation of variables for the differential equation, it is found that:
a) The differential equation is: [tex]\frac{dP}{dt} = kP[/tex]
b) The solution is: [tex]P(t) = 5000e^{kt}[/tex]
c) In 6 months, the population is: [tex]P(6) = 5000e^{6k}[/tex]
What is the differential equation?Population of fishes in a pond is directly proportional to amount of fishes present in the bond, hence the differential equation is:
[tex]\frac{dP}{dt} = kP[/tex]
In which k is the growth rate.
What is separation of variables?In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.
Hence, for the differential equation in this problem:
[tex]\frac{dP}{dt} = kP[/tex]
[tex]\frac{dP}{P} = k dt[/tex]
[tex]\int \frac{dP}{P} = \int k dt[/tex]
[tex]\ln{P} = kt + P(0)[/tex]
[tex]P(t) = P(0)e^{kt}[/tex]
In which P(0) = 5000 is the initial population, hence:
[tex]P(t) = 5000e^{kt}[/tex]
In 6 months, the population is:
[tex]P(6) = 5000e^{6k}[/tex]
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Find the mean, variance, and standard deviation for the data set.
6, 16,7 ,3 ,10 ,8 ,12 ,5 ,18 ,5
Three friends go shopping together and buy the same kind of rice.
Placido buys 2 pounds and pays $4.50. Sophia buys 3 lb and pays $6.75.
Roger buys 4 lb and pays $9.00.
Identify the graph and unit price that represent the cost of the rice.
Answer:
1 pound of rice is $2.25. Counting up the graph, - 2, 4, 6, 8, 10.
Step-by-step explanation:
You didn't add the picture so this is how I explained it.
What is the value of c when f=86
Answer: Option A
Step-by-step explanation:
Replace F with 86 then solve
86 - 32 = 54
54 × 5/9 = 30
C =30
Answer:
Step-by-step explanation:
5/9(86-32)
5/9(54)
5(6)= 30
answer is A
Divide. Give the quotient and remainder.
437/7
The amount of a sample remaining after t days is given by the equation p(1) - al2where a is the initial amount of
the sample and h is the half-life, in days, of the substance. a sample contains 60% of its original amount of fermium-
257. the half-life of fermium-257 is about 100 days. about how old is the sample?
52 days
60 days
74 days
136 days
The amount of a sample remaining after t days is given by the equation p(1) - al2 is: 74 days.
Sample remaining after t daysUsing this formula
P(t)=A×(1/2)^t/h
Let plug in the formula
0.6x=x ×(1/2)^t/h
0.6=(1/2)^t/100
Hence:
Log0.6=Log(1/2)^t/100
Log 0.6=t/100× log0.5
Log 0.6/Log0.5×100=t
-0.2218487/-0.30102999×100=t
0.736×100=t
t=73.6
t=74 days (Approximately)
The amount of a sample remaining after t days is: 74 days.
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Answer:
74 DAYS
Step-by-step explanation:
I DID IT ON EDGE
Yuki collects data on the average number of sunlight hours per month. She determines the regression model
y = -2.8sin(0.65x + 120.2) + 12.2 to represent the data, where x = 1 represents January.
Based on the regression model, what is the best estimate for the average number of sunlight hours she can expect
each day in June?
O9.4
9.9
O 11
O 15
The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours
To answer the question, we need to know what a regression model is
What is a regression model?A regression model is an equation or model that shows if there is a relationship between two variables.
Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.
Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.
Average number of sunlight hours in JuneSo, y = -2.8sin(0.65x + 120.2) + 12.2
y = -2.8sin(0.65(6) + 120.2) + 12.2
y = -2.8sin(3.9 + 120.2) + 12.2
y = -2.8sin(124.1) + 12.2
y = -2.8(0.8281) + 12.2
y = -2.32 + 12.2
y = 9.88
y ≅ 9.9
So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours
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Total piston displacement is given by the following formula: TT P.D.ED?LN 4 Where P.D. = piston displacement, in cubic inches D = diameter of bore of cylinder L = length of stroke, in inches N = number of cycles Find the diameter if P.D. = 400 cu in., L = 4.5 in., N = 6 in. to 2 Find the diameter: decimal places Do NOT put in units
Answer:
4.34 inches
Step-by-step explanation:
You want the diameter of a cylinder if the stroke length is 4.5 in, and 6 of them have a volume of 400 in³.
FormulaFilling the given values into the formula, we have ...
400 = π/4(d²)(4.5)(6)
d² = 400(4)/(4.5·6π) . . . . . . . . . divide by the coefficient of d²
d = 40/(3√(3π)) ≈ 4.34 . . . . . . . take the square root
The diameter is about 4.34 inches.
<95141404393>
PLEASE HELP ILL GIVE 53 POINTS
If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she estimates that the same route will take no less than 42 minutes. Which inequality represents the time it takes to drive the route, r?
r < 37 or r ≥ 42
r < 37 or r > 42
37 < r ≥ 42
37 > r ≥ 42
Answer:
i believe the third one so this 37 < r ≥ 42 Step-by-step explanation:
Answer:
(a) r < 37 or r ≥ 42
Step-by-step explanation:
Translating the given relations to math symbols, we have ...
"less than 37 minutes" ⇒ r < 37
"no less than 42 minutes" ⇒ r ≥ 42
__
Written as a single statement, this is ...
r < 37 or r ≥ 42
_____
Additional comment
The solution regions are disjoint, so an "or" statement must be used. The form ...
37 > r ≥ 42
cannot be used, because it is false that 37 > 42.
What are the next two terms of the following sequence? -2, 4, -8, 16, ...
Answer:
-32 , 64
Step-by-step explanation:
Geometric sequenceThis is a geometric sequaence and each term is obtatained by multiplying the previous number with the common ratio 'r'
[tex]\sf \boxed{r = \dfrac{second \ term }{first \ term}}[/tex]
[tex]\sf r =\dfrac{4}{(-2)}[/tex]
r = -2
The next two terms ,
Fifth term = 16 *(-2) = -32
Sixth term = (-32) * (-2) = 64
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What are the next two terms of the following sequence?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
The next two terms are -32 and 64.
[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]
First of all, let's identify what kind of sequence this is.
The two main types of sequences are:
[tex]\textsf{Arithmetic.}[/tex] This is where we add/subtract the same number to get to the following term.[tex]\textsf{Geometric.}[/tex] This is where we multiply/divide by the same number to get to the next term.In the given sequence, we use multiplication, so we're dealing with a [tex]\textit{geometric sequence}[/tex].
In order to get to the next term, we multiply by -2.
So in order to find the next two terms of the sequence, we take the previous term and multiply it by -2 as follows:
16•(-2)=-32
We've found the 5th term of the geometic sequence.
Now let's find the 6th:
-32•(-2)=64 (the product of a negative and a negative results in a positive)
Summary of Final Answer:-The next two terms in the sequence are -32 and 64.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Jim earned $127.59 last month. He spent about
20% of the money. Which is the closest estimate
of the amount of money Jim spent?
A. $13
B. $20
C. $26
D. $30
Answer:
C. $26 is the closest estimate
Step-by-step explanation:
127.59 rounded is 128
128 x 0.2 = 25.6
25.6 is closest to 26 so C is the answer
so that is the closest estimate
this should be correct! :)
Solve y^3=125, where y is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
30 POINTS
There are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.
How to find one solution of equation?
If the equation is given a unique and single value of variable after solving, then the equation is said one solution equation. Such equation gives exactly one solution.
The three solution of an equation are-
One solution- When the graph provides the single value of the given variable, we get one or unique solution.No solution- When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.Infinite many solution-For the same line, the equation has the infinite many solution.
The expression for y is given as,
y³=125
Here, y is a real number. equate the equation to zero,
y³-125=0
y³-5³=0
Use the formula of difference of two perfect cube as,
(y-5)(y²+5y+25)=0
The values of y we get after solving the equation as,
y=5, 2.5-4.3301i, 2.5+4.3301i
Thus, there are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.
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A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. Is it a right triangle?
A water tank is in the shape of a right rectangular prism. Its dimensions are 6 feet by 4 feet by 7 feet. What is the surface area of this tank?
A. 110
B. 125
C. 144
D. 188
Answer:
b
Step-by-step explanation:
the total surface of a pyramid with dimension of 5×10 h=6
Answer:
[tex]154.05[/tex]
Goodluck
X+4/x^2+3x-10 - x-1/x^2+2x-8 Simplify
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] can be done in the following manner,
[tex]\dfrac{x+4}{x^2+3x-10} - \dfrac{x-1}{x^2+2x-8}\\\\\\= \dfrac{x+4}{(x-2)(x+5)} - \dfrac{x-1}{(x+4)(x-2)}\\\\\\= \dfrac{(x+4)(x+4)- (x-1)(x+5)}{(x+4)(x-2)(x+5)} \\\\\\= \dfrac{x^2+16+8x-x^2-5x+x+5}{x^3+7x^2+2x-40}\\\\\\=\dfrac{4x+21}{x^3+7x^2+2x-40}[/tex]
Hence, the simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).
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Need some help here IMMEDIATELY!! :(
Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Answer: C option
Step-by-step explanation:
Since the drawing is 5x more than real object then we have to divide the numbers
a= 35/5 = 7
b= 30/5 = 6
c= 15/3 = 3
Heidi likes to mix her own horse feed. She creates a mix that is 10%
molasses-covered oats using 18% molasses-covered oats. How many pounds
of each does she need to create 50 pounds of the mixture
The first step is to Prepare. Heidi wants to make a 30 pounds of molasses solution. She mixes and solution together. How much mixture does she make?
15. What is 3% of 4.14 x 10?
A. 1.242
B. 1.380
C.
12,420
D. 13.800
E. 124.200
Answer:
the answer is a and I hope this helps you.
Hey there!
3% of 4.14 * 10
≈ 3% * 4.14 * 10
≈ 3/100 * 4.14 * 10
≈ 0.03 * 4.14 * 10
≈ 0.1242 * 10
≈ 1.242
Therefore, the answer should be:
Option A. 1.242
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which of the following is a business organization owned by a group of people for their mutual benefit?
-a professional organization
-a labor union
-a cooperative
-a limited liability partnership
the ratio 20:40:100 in its simplest form.
Answer:
1 : 2 : 5
Step-by-step explanation:
20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )
= 1 : 2 : 5
EDULASTIC
full explanation please
Answer:
138°Step-by-step explanation:
Sum of supplementary angles is 180°
m∠A + m∠B = 180°Find the value of x
2x - 24° + 5x - 27° = 180°7x - 51° = 180°7x = 180° + 51°7x = 231°x = 231°/7x = 33°Find the measure of ∠B
m∠B = 5*33° - 27° = 138°Supplementary angles have sum 180°
2x-24+5x-27=1807x-51=1807x=231x=33<B
5(33)-27138°The box plot below represents some data set. What is the interquartile range (IQR) of
the data?
Answer:
155-50=105
Step-by-step explanation:
hopefully its right because you have to take the maximum and subtracted from the minimum
At a school canteen, a student can choose his snacks from 3 drinks (iced tea, orange juice and buko juice) and 4 foods (sandwich, fruit salad, banana cue and biscuit).
1. What is the experiment? _____
2. If your simple event is choosing one among the 3 drinks (iced tea, orange juice and buko juice), what will be the outcome and the sample space S?
Outcome_____
Sample space S = _____
3. If your compound event is to choose your snacks from the available variety of drinks and foods, what will be the outcomes and the sample space S?
Outcome_____
Sample space S = _____
4. Complete the tree diagram below showing the outcomes of the experiment.
(ITS ON THE PICTURE. TYSM!!!)
HELLO! AND GOOD EVENING! BLESS YOU AND THANKYOU IF YOU CAN HELO ME WITH THIS ONE. I WILL LITERALLY PRAY FOR YOUR GOOD FORTUNE. >< ♡
Answer:
check the attachment for your answer
Step-by-step explanation:
Find the area of each parallelogram below. 4 cm 5 cm 6 cm
Answer:
24 cm²
when finding area, multiply base by height
[tex]4 * 6 = 24[/tex]
Answer:
A = 24 cm^2
Step-by-step explanation:
The formula for the area of a parallelogram is
A = bh where b is the base and h is the height
A = 6 * 4
A = 24 cm^2
