The weight of the baby after five months is 15 Kg.
Step 1:
Given:
New-born baby weight = 5kg
Monthly average weight gained = 2kg
To find:
The weight of the baby after 5 months.
Average Weight of Baby:
Birth weight is the weight of the baby at birth. [1] The average birth weight of babies of European descent is 3.5 kilograms, with a normal range of 2.5 to 4.5 kilograms (5.5 to 9.9 pounds). On average, South Asian and Chinese babies weigh about 3.26 kg. The prevalence of low birth weight infants decreased slightly from 7.9% (1970) to 6.8% (1980), then increased slightly to 8.3% (2006) and is currently at 8.2% (2016).
Step 2:
Represent the unknown.
Let x-the number of months .
Let y-weight of the baby after 5 months.
Step 3:
Formulate the equation.
The mathematical equation is:
5+2x = y
Step 4:
Solve the equation.
5+2x = y
5+2(5) = y
5+10 = y
y = 15
Thus, the baby weight is 15kg after 5 months.
Step 5:
Using the equation 5+2x=y.
5+2x = y
5+2(5) = 15
5+10 = 15
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Personal Finance
Which of these is an economic good?
a motel room
camping in a cave
fresh air
water from a spring
Answer:
Fresh air
Step-by-step explanation:
Could someone pls help me solve this ive been struggling for the past hour.no calculator allowed but im allowed a trigonometric circle.thx
The numeric value for each trigonometric expression is given as follows:
3. [tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \frac{5}{4}[/tex]
4. [tex]\frac{\sin{\left(\frac{\pi}{4}\right)}}{\cos^2{\left(\frac{\pi}{3}\right)}} = 2\sqrt{2}[/tex]
How to obtain the numeric value for the trigonometric expressions?The first trigonometric expression for this problem is defined as follows:
[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)}[/tex]
The numeric value of each term of the expression is given as follows, using equivalent angles on the trigonometric circle:
[tex]\sin{\left(-\frac{5\pi}{6}\right)} = \sin{\left(2\pi - \frac{5\pi}{6}\right)} = \sin{\left(\frac{7\pi}{6}\right)} = -\sin{\left(\frac{\pi}{6}\right)} = -\frac{1}{2}[/tex] (negative to positive, then find equivalent of the third quadrant angle on the first).[tex]\cos{\left(\frac{2\pi}{3}\right)} = -\cos{\left(\pi - \frac{2\pi}{3}\right)} = -\cos{\left(\frac{\pi}{3}\right)} = -\frac{1}{2}[/tex] (cosine on the second quadrant is negative).[tex]\cos{(-\pi)} = \cos{(\pi)} = -1[/tex] (cosine is an even function).Hence:
[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \left(-\frac{1}{2}\right)^2 + 1 = \frac{1}[4} + 1 = \frac{5}{4}[/tex]
For item 4, the angles are on the first quadrant, hence:
[tex]\sin{\left(\frac{\pi}{4}\right)} = \frac{\sqrt{2}}{2}[/tex][tex]\cos{\left(\frac{\pi}{3}\right) = \frac{1}{2}[/tex]Hence the numeric value of the expression is given as follows:
[tex]\frac{\frac{\sqrt{2}}{2}}{\left(\frac{1}{2}\right)^2} = 4 \times \frac{\sqrt{2}}{2} = 2\sqrt{2}[/tex]
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You use a technical support company for your computer. The company bills you at a rate of $10 per month and $35 per hour for phone support.
a. Identify the fixed cost (the constant).
b. Identify the independent variable (x).
c. Identify the dependent variable (y).
d. Write an equation that describes the situation above.
e. If you were billed $97.50 for last month, how many hours of phone support did you need? Show all work.
Answer:fixed cost=10
Independent variable=months paid
Dependent=hours on support
month=x,h=hour,10x+35h=total cost
97.50=10+35h
87.50=35h
h=2.5 hours
Step-by-step explanation:
showed work
What is meant by halting problem?
Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.
Describe a tractable problem.an algorithm that takes a polynomial amount of time to solve a tractable issue. The upper bound is described by a polynomial. Any issue that cannot be addressed in a polynomial period of time is considered to be intractable. The lowest limit is exponential.
Here,
The halting problem claims that no computer can be created that can anticipated.
the likelihood that any other program will halt after a certain number of steps, making it an unsolved algorithmic challenge.
Software development is directly affected in practice by the stopping problem's insoluble nature.
Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.
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Simplify (s^-5)^3. Write your answer using only positive exponents.
The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
(s⁻⁵)³
We can write the expression as -
(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵
Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
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Why are fossil fuels considered nonrenewable resources?
A.
They create pollution and people have to clean it up.
B.
They are found underground and must be processed.
C.
They cannot be found in nature and have to be made.
D.
They cannot be replaced as fast as they are being used.
Answer:
D They cannot be replaced as fast as they are being used
Identify the inverse function of f(x)=√x - 2 + 3.
A) f-¹(x) = (x + 2)² - 3
B) f-1(x) = (x - 3)² + 2
C) f-¹(x) = √x + 2 - 3
D) ƒ-1(x) = √x + 3 − 2
Questi
The inverse of the function f(x) =√x - 2 + 3 is (x - 3)² + 2 so, option B is correct.
What is the function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
Given:
f(x)=√x - 2 + 3.
The inverse function can be found as shown below,
f⁻(x) = √(y - 2) + 3 (Replace x by y)
x = √(y - 2) + 3
solve the equation as shown below,
x - 3 = √(y - 2)
Squaring both sides,
(x - 3)² = [√(y - 2)]²
x² + 9 - 6x = y - 2
x² + 9 - 6x + 2 = y
y = x² - 6x + 11 or y = (x - 3)² + 2
Thus, the inverse of the function is (x - 3)² + 2.
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A landscaper is raising the price she charges to mow a lawn by 20%. She used to charge
$30 to mow a lawn.
Part A
What is her new rate?
Answer $ _____ per lawn
Part B
Suppose the landscaper lowers her new rate by 20%. What is her rate now?
Answer $ _____ per lawn
Answer:
Rate when price rises 20% = $36
Rate when price downs 20% = $24
Step-by-step explanation:
Given:
Current rate to mow = $30 per lawn
Find:
Rate when price rises 20%
Rate when price downs 20%
Computation:
Rate when price rises 20%
Rate when price rises 20% = Current rate to mow + 20%[Current rate to mow]
Rate when price rises 20% = 30 + 20%[30]
Rate when price rises 20% = 30 + 6
Rate when price rises 20% = $36
Rate when price downs 20% = Current rate to mow - 20%[Current rate to mow]
Rate when price downs 20% = 30 - 20%[30]
Rate when price downs 20% = 30 - 6
Rate when price downs 20% = $24
What is the area of the shaded region in the inage below? Leave your anser in terms of pi
Answer:
182π
Step-by-step explanation:
Subtract areas of two smaller circles from the largest one
Area of largest circle (which has a diameter of 26+14, or 40) = 20²π or 400π
Area of second largest circle = 169π
Area of smallest circle = 49π
400π - (169π + 49π) = 182π
18 different rides. cost 1.75 the function c(R)=1.75
Answer:
Step-by-step explanation:
Domain= [0,18], Range = [0,31.50]
If Charlie will only go to a single ride one time the possible rides he could go on would be 0 rides to all 18 rides for a domain of [0,18]. The output of the maximum and minimum x values would give us 0 dollars for riding 0 rides and 31.50 for riding all 18 (1.75 *0 = 0) and (1.75*18 = 31.50) so the range is [0, 31.50]
its not that i want to kill her is just i dont want her to be alive :)
Answer: Such a feeling sure is conflicting. You don't want her alife but dead but at the same time you don't want to be the one committing the murder. My sympathies.
HELP ME ASAP HELP ME ASAP HELP ME ASAP
Answer:
First, plot the y-intercept. The y-intercept is 1, so plot the point (0,1).
Then go up 2 points and to the right 3 points and plot a point there. (3,3)
We go to the right because the slope is positive.
Draw a line through the two points.
Step-by-step explanation:
y = mx+b
m = slope
b = y-intercept
help me please i need short answer :)
Answer:
they are on opposite sides whick makes them in the opposite
which is 9% written as a decimal A) 0.009 B) 0.09 C) 0.9 D) 9.0 E) 90.0
Answer:
B.
Step-by-step explanation:
I used the percent button on my calculator. :)
Hope this helps
Consider the sequence of steps to solve the equation:
5(x - 3) = 7x/2
Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10
Identify the property of equality which yields Step 5.
A. Division Property
B. Addition Property
C. Subtraction Property
D. Multiplication Property
The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range. What type of selection does this demonstrate
On solving the provided question, we can say that stabilizing selection type of selection does this demonstrate is shown by frequency distribution.
what is frequency distribution?In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9,
stabilizing selection type of selection does this demonstrate is shown by frequency distribution.
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Complete question: The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range of birthweights. What type of selection does this exemplify?
Does anyone know how to solve this?
Answer:
the answer for first question is $112.
the answer for second question is 16 trips.
Step-by-step explanation:
Hope it helps you!!
Step-by-step explanation:
a) 224-14(8)=224-112=112dollars
b) 112 divided by 14=8trips
Pls help I need it now!!
Answer:
42
Step-by-step explanation:
find the measure indicated in each parallelogram
Answer:
Step-by-step explanation:
WX≅VY
VY = 7
CD≅BE
BE = 13
Shay and Nadine solve this problem in two different ways.
Mark has $25 in his bank account.
He makes $7 per hour babysitting.
How many hours must he babysit to have a total of $165 in his account?.
Use the drop-down menus to complete the sentences below.
Shay's
Assignment
25+7h-165
25-25 7h-165-25
7h-140
7h-140
7h 7h
A-20
Nadine's
Assignment
166-25-140
You need to make
$140 babysitting
140
-20
You need to babysit
for 20 hours
Please Help!
On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.
What is proportionality?When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.
Here,
U/5 = 17/11
U = 17/11 X 5
U = 7.72
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12x - 2/3 = 83 1/3
Can you please help me solve to find X?
let's firstly convert the mixed fraction to an improper fraction, and then let's multiply both sides by the LCD of all denominators
[tex]\stackrel{mixed}{83\frac{1}{3}}\implies \cfrac{83\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{250}{3}} \\\\[-0.35em] ~\dotfill\\\\ 12x-\cfrac{2}{3}=\cfrac{250}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 12x-\cfrac{2}{3} \right)=3\left( \cfrac{250}{3} \right)}\implies 36x-2=250 \\\\\\ 36x=252\implies x=\cfrac{252}{36}\implies x=7[/tex]
What is the value of x in3 √ x 9?
In the given equation x = 9 is the value that satisfies the equation.
What are Square root?The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because [tex]3*3 = 9[/tex]. The symbol for square root is "√" and it can also be represented as "sqrt".
In the given equation [tex]x = 9[/tex] is the value that satisfies the equation.
To find the value of x in the equation [tex]3 \sqrt{x} = 9[/tex], we first need to square both sides of the equation to eliminate the square root.
[tex]3 \sqrt{x} = 9[/tex]
Squaring both sides:
[tex](3 \sqrt{x} )^2 = 9^2[/tex]
[tex]x = 9^2 / 3^2 = 9^2 / 9 = 9[/tex]
Therefore, x = 9 is the value that satisfies the equation.
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Mona's new bicycle weighs 1812 pounds.
Weight Equivalent
1 kg = 2.2 pounds
Using the table above, about how many kg does her bike weigh?
A
8
B
16
C
41
D
84
answer
B.16PO _^^ PLSPLShelp me plssss it’s due tonight
Answer:
Answer choice A
Step-by-step explanation:
This is the midpoint of both coordinates.
P = 4x + 3y
x = 5
y=-2
(a) Work out the value of P.
(b) Expand 4e(e + 2)
Answer:
P=4×5+3×-2
P= 20x-6y
4e²+8e
Find the area of the trapezoid below to the nearest tenth.
Answer:
Area of trapezoid = 67.6 square units
Step-by-step explanation:
Area of a trapezoid is given by the expression,
Area of the trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the given trapezoid.
And '[tex]h[/tex]' = Height between the parallel sides
From the given triangle ABE,
m(∠ABE) = m(∠ABC) - m(∠EBC)
m(∠ABE) = 120° - 90°
= 30°
By applying cosine rule in the given triangle,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{BE}{AB}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{BE}{6}[/tex]
BE = [tex]3\sqrt{3}[/tex] units
By applying sine rule in ΔABE,
sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{AE}{AB}[/tex]
[tex]\frac{1}{2}=\frac{AE}{6}[/tex]
AE = 3 units
Length of [tex]b_1=BC=10[/tex]
Length of [tex]b_2=AD=(AE+EF+FD)[/tex] [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]
[tex]b_2=3+10+3[/tex]
[tex]b_2=16[/tex]
Height between the parallel sides [tex]h=3\sqrt{3}[/tex]
Area of the trapezoid = [tex]\frac{1}{2}(BC+AD)BE[/tex]
= [tex]\frac{1}{2}(10+16)(3\sqrt{3})[/tex]
= [tex]39\sqrt{3}[/tex]
= 67.6 square units
A recipe calls for 2 ½ cups of flour to bake 12 cookies. If each person eats 1 cookie, and Elizabeth needs to serve 44 people, how many cups of flour will Elizabeth need to bake the cookies?
Find A in degrees. Round to the nearest tenth.
a=7
b=4
c=8
A=[?]°
Answer:
61 degrees.
Step-by-step explanation:
Use the law of cosine.
In this case, the law of cosine is:
7^2=4^2+8^2-2(4)(8)cos a
Meaning:
7^2-4^2-8^2/-2(4)(8)=.434
Then do the inverse cosine of .434, and it will equal to 61.02
Round to the nearest tenth and you'll get A= 61 degrees.
Answer: 61 degrees
Step-by-step explanation:
7^2=4^2+8^2-2(4)(8)cos a
7^2-4^2-8^2/-2(4)(8)=.434
Then do the inverse cosine of .434, and it will equal to 61.02
Round to the nearest tenth and you'll get A= 61 degrees.
Look at image to answer
1350000 because 20x15 and 30x15
Answer:135000 ft^2
Step-by-step explanation:
The two lines below intersect as shown What is the value of x?
line one (2r + 29)
line two (9x-13)
Answer:
x = 6
Step-by-step explanation:
because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other
Knowing the angles are equal to each other you can make the equation
2x + 29 = 9x - 13
then you solve for x in this equation
2x + 29 = 9x - 13
(subtract 2x from both sides)
29 = 7x - 13
(add 13 to both sides)
42 = 7x
(divide by 7 on both sides)
6 = x
x = 6