Answer:
Step-by-step explanation:
So the nearest perfect square to 3793 is 3721. Hence, the least number that must be subtracted from 3793 to get a perfect square = 3793 - 3721 = 72.
Answer:
ABBCBAAHSHSHDHEEHDHSHHH74737477382
Given h(x) = 4x + 2, find h(5).
Answer:
22
Step-by-step explanation:
Simply substitute x = 5 in the function equation
h(5) = 4 (5) + 2 = 20 + 2 = 22
Given ~
[tex] \tt \: h(x) = 4x + 2[/tex]
[tex] \: [/tex]
put the value of x = 5 in given function ~
[tex] \tt \: h(5) = 4(5) + 2[/tex]
[tex] \: [/tex]
[tex] \tt \: h(5) = 20 + 2[/tex]
[tex] \: [/tex]
[tex] \underline{ \boxed{ \tt\red{h(5) = 22}}}{ \green ✓}[/tex]
[tex] \: [/tex]
hope helps ~
Under what conditions for the constants a, b, k, and l is (ax by) dx (kx ly) dy = 0 exact? solve the exact ode.
∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0 is the exact ode.
What is the exact equation?Specifically, an exact equation is a differential equation that can be solved instantly without the aid of any specialized methods. If the result of a straightforward differentiation, a first-order differential equation (of one variable) is referred to as an exact differential or exact differential. The equation
P(x, y)dy/dx + Q(x, y) = 0,
or in the equivalent alternate notation
P(x, y)dy + Q(x, y)dx = 0,
is exact if
∂P(x, y)/∂x = ∂Q(x, y)/∂y
In this instance, a function R(x, y) will exist whose partial x-derivative is Q and partial y-derivative is P, and whose equation R(x, y) = c (where c is constant) will implicitly establish a function y that will satisfy the initial differential equation.
An exact ODE is one where the equation can be written as dF=0 for some F(x,y). Expanding using chain rule, this means an equation of the form
∂1Fdx+∂2Fdy=0
Now if the second partials of F exist and are continuous, they must be equal due to Clairaut. So, given an equation
Mdx+Ndy=0
if we have
∂2M=∂1N
then there is an F such that
M=∂1F, N=∂2F
and hence that equation is exact, and the solution is simply
∫dF=0
We have
M=ax+by⇒∂2M=b
N=kx+ℓy⇒∂1N=k
so to be exact, we must have that b=k .
Then, integrating M and N , we have
F(x,y)=∫Mdx=12ax2+bxy+g(y)
F(x,y)=∫Ndy=bxy+12ℓy2+h(x)
and comparing these two, we can see that
∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0
is a solution to the equation for any a,b,c,ℓ . You can solve for y by quadratic methods.
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Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
Answer:
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
Step-by-step explanation:
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
. Use Structure is the product the same
when multiplying 22 x (-5) and multiplying
(-5) x 22? Explain.
Answer:
Yes.
Step-by-step explanation:
Let's say a=22 and b=-5
According to the Commutative Property of Multiplication, a*b=b*a. Hence, 22*(-5)=(-5)*22.
22*(-5)=
-(22*5)=-110
(-5)*22=
-(5*22)=-110
-110=-110 √
Find the surface area AND
volume of this figure.
We get the surface area as 202 inches² and volume as 168 inches³.
The surface area of a cuboid is given by:
Surface area = 2xy + 2xz + 2yz
Here length = x = 7 inches
Breadth = y = 3 inches
Height = z = 8 inches.
Substituting the values in the formula, we get that:
Surface area = A = 2(7)(3) + 2(7)(8) + 2(3)(8) inches²
A = 42 + 112 + 48 inches²
A = 42 + 160 inches²
A = 202 inches²
Volume of a cuboid is given by :
Volume = xyz
Substituting the values, we get that:
Volume = (7) (3) (8) inches³
Volume = 21 × 8 inches³
Volume = 168 inches³.
Therefore, we get the surface area as 202 inches² and volume as 168 inches³.
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meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi
comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:
Samir just got hired for a new job and will make $50,000 in his first year. Samir was told that he can expect to get raises of $2,500 every year going forward. How much money in salary would Samir make in his 29th year working at this job?
122.500$
First hello I hope you are doing. The first step is to multiply 2.500 with 29 and the result is 72.500$ . Then you add the 50.000$ to 72.500$ which is the raise and you have the result which is 122.500$
I hope I helped you
If f ( x ) = 3 x + 2 and g ( x ) = x 2 − x , find the value. f ( 4 )
Two similar bottles are shown.
The smaller bottle can hold 500 ml of water. How much water can the larger bottle hold? + 2³ 15 cm 主要 66% E 21 cm
The larger bottle holds a 700ml volume of water.
What is volume?
Volume is a measure of enthralled three-dimensional space. It's frequently quantified numerically using SI-deduced units or by colorful Homeric units. The description of length is interrelated with volume. Volume is the volume of three-dimensional space enthralled by a liquid, solid, or gas. Common units used to express volume include liters, boxy measures, gallons, milliliters, ladles, and ounces, however, numerous other units live. In mathematics,' Volume' is a fine volume that shows the quantum of three-dimensional space enthralled by an object or an unrestricted face.Two(2) bottles given in the pic are similar(no difference)
Therefore, the volume/cm height of both(2) bottles will proportional
By using the proportionality rule, [tex]\frac{15}{500} =\frac{21}{x}[/tex]
x = 700ml(seven hundred)
Hence, the correct answer is 700ml.
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Parallelogram be is a scaled copy of parallelogram U what is the value of w ( please answer ASAP I'm in a rush)
13,804 divided by 14
Answer:986
Explanation? Calculator;)
Answer: 986
Step-by-step explanation? It’s easier to use a calculator.
What is the common ratio between successive terms in the sequence?
1.5, 1.2, 0.96, 0.768,
The common ratio between successive terms in the sequence is 1. 25
What is common ratio?
Common ratio is defined as the ratio of each term of a geometric sequence to the term before it.
It is also known as the constant factor between consecutive terms of a geometric sequence.
It is the number multiplied or divided by at each interval.
Given the sequence;
1.5, 1.2, 0.96, 0.768,
The common ration is;
= 1. 5/ 1. 2
= 1. 25
Thus, the common ratio between successive terms in the sequence is 1. 25
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Laney walks 13 miles to school from her
house and rides the bus home. If she walked five
days last week, how many total miles did Laney
walk?
The Total number of miles that Laney walked is 65 miles.
How to calculate the value?From the information, Laney walks 13 miles to school from her house and rides the bus home and she walked five days last week.
Therefore, the total number of miles that he walked will be:
= 13 × 5
= 65 miles.
Therefore the miles is 65 miles.
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5. Sandra drew the triangle below. Rika said that the lengths couldn't be correct. With which student do you agree? Explain your answer. 30 10 60 5√3
Answer:
Rika
Step-by-step explanation:
The side opposite the 30° angle is longer than the side opposite the 60° angle.
what’s the growth factor of 24,12,6,3,1.5
Answer:
0.5
Step-by-step explanation:
12/24 = 0.5
6/12 = 0.5
3/6 = 0.5
1.5/3 = 0.5
Answer: 0.5
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. the amount of snowfall in december in city a
The function is a continuous random variable. The correct option is B.
What is a continuous random variable?Continuous random variables are those that have a large number of uncountable possible values. There are countless possible values. In this illustration, there is no limit to the range of possible values for the height of a giraffe in meters, such as 10.5m, 15.22m, 12.0m, etc. There are countless options.
Discrete Variables that have a finite number of possible outcomes are known as random variables. When a dice is rolled, for example, the outcomes could be 1, 2, 3, 4, 5, or 6. There are only six possible values, with nothing in between.
Therefore, the function is a continuous random variable. The correct option is B.
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Solve for .
5x- 4 >_12
Choose 1 answer:
12x+ 5< _=-4
Answer:
x = 3.2 and No solution.
Step-by-step explanation:
5x - 4 = 12
5x = 12 + 4
5x = 16 (divide both sides by 5 to get x)
5x/5 = 16/5
x = 3.2
–––––––––––––––––––––––––––––
5x-3≥12 AND 12x+5≤-4. Solve it separately.
5x - 4>=12. add 4 on both sides. 5x>=16.
solve 15 over x+2 equals 3 over 4
The solution to the expression is x= 18
How to calculate the expression ?15 over x=2 equals 3 over 4 can be written as follows
15/x+2 = 3/4
Cross multiply both sides
15×4= 3(x+2)
60= 3x +6
collect the like terms
3x= 60-6
3x= 54
divide both sides by the coefficient of x which is 3
3x/3 = 54/3
x= 18
Hence the value of x in the expression is 18
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Please help! (Level middle school)
The box and whisker plot shows he number of points Carl made during each game last season. What is the range of points Carl had?
Answer:
The range = 14
Step-by-step explanation:
Definition: (range of a data set)
the range of a data set is the difference between the greatest and smallest value.
In a box plot :
We should notice the maximum (generally located at the top right) and the minimum value (generally located at the top left)
Then we make the difference.
97.
In our case :
Max value = 24
Min value = 10
Therefore
The range = 24 - 10 = 14
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The volumes of the cylinder are 565. 56 cubic inches and 1131. 12 cubic inches respectively.
How to determine the volumeThe formula for volume of a cylinder is expressed as;
Volume = πr²h
Where;
r is the radius = 6 Inh is the height = 5 InSubstitute the values
Volume = 3. 142 × 6² × 5
Volume = 3. 142 × 36 × 5
Volume = 565. 56 cubic inches
If the height is doubled, h = 2 × 5 = 10
Substitute the values
Volume = 3. 142 × 6² × 10
Volume = 3. 142 × 36 × 10
Volume = 1131. 12 cubic inches
Thus, the volumes of the cylinder are 565. 56 cubic inches and 1131. 12 cubic inches respectively.
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Round 7.487 to the nearest hundredth.
Answer: 7.49
Step-by-step explanation:
7 is above 5, so we round up from .48 to .49.
The table represents a function.
X
-6
7
4
3
-5
f(x)
8
3
-5
-2
12
Which value is an output of the function?
-6
-2
07
Answer:
- 2
Step-by-step explanation:
The output of a function is a value of f(x) for a given value for x. From the table, only - 2 matches a value of f(x) and so this is the output.
All the others are values for x so they are inputs to the function
Solve the recurrence relation: t(n) = 3t(n-1) 1, with initial condition of t(0) = 1
A linear recurrence relation is a function or sequence in which each term is a linear combination of the terms that came before it.
The recurrence relation exists [tex]$T(n)=\Theta\left(3^n\right)$[/tex].
What is meant by "recurrence relation"?Recurrence relations are used to simplify complex problems by reducing them to an iterative process based on simpler versions of the problem.
Using the substitution method, we find out that
[tex]T(n) &=n+3 T(n-1) \\[/tex]
[tex]&=n+3(n-1)+3^2 T(n-2) \\[/tex]
[tex]&=n+3(n-1)+3^2(n-2)+3^3 T(n-3) \\[/tex]
[tex]&=\cdots \\[/tex]
[tex]&=n+3(n-1)+3^2(n-2)+\cdots+3^{n-1}(n-(n-1))+3^n T(0) \\[/tex]
simplifying the above equation, we get
[tex]$&=\frac{3^{n+1}-2 n-3}{4}+3^n T(0) \\[/tex]
[tex]&=\Theta\left(3^n\right)[/tex]
Even without doing the full calculation it is not hard to check that [tex]$T(n) \geq 3^{n-1}+3^n T(0)$[/tex], and so [tex]$T(n)=\Omega\left(3^n\right)$[/tex].
A cheap way to obtain the corresponding upper bound is by considering
[tex]$S(n)=T(n) / 3^n$[/tex], which satisfies the recurrence relation
[tex]$S(n)=S(n-1)+n / 3^n$[/tex].
Repeated substitution then gives
[tex]$\frac{T(n)}{3^n}=\sum_{m=1}^n \frac{m}{3^m}+T(0)[/tex]
Since the infinite series [tex]$\sum_{m=1}^{\infty} \frac{m}{3^m}$[/tex] converges, this implies that [tex]$\frac{T(n)}{3^n}=\Theta(1)$[/tex] and so [tex]$T(n)=\Theta\left(3^n\right)$[/tex]
Therefore, the recurrence relation exists [tex]$T(n)=\Theta\left(3^n\right)$[/tex].
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Select the correct answer.
Simplify.
√96
A 24√4
B. 6√4
C 4√6
D. 16√6
Answer : C] 4√6
Thank you !
Given f(x) = 3x+9 and g(x) = 5x-1, find f(g(x)).
Step-by-step explanation:
In this equation, given
f(x) = 3x + 9 and g(x) = 5x -1
So the question is what is the value of f if we put the value of g(x) in f(x)
So to solve the equation we need to replace the value of x in f(x) with g(x)
So it was obtained as below
f(g(x)) = 3(5x-1) + 9
= (15 x - 3) + 9
= 15 x + 6
The distance between A(-2,4) and B (1,0) is?
A. 2.24
B. 5
C. 25
D. 4
E. -5
=========================================================
Work Shown:
[tex]A = (x_1,y_1) = (-2,4) \text{ and } B = (x_2, y_2) = (1,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-1)^2 + (4-0)^2}\\\\d = \sqrt{(-3)^2 + (4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
I used the distance formula.
A slight alternative is to plot the points to form a right triangle. The hypotenuse is the segment from A to B. Then use the pythagorean theorem to find the hypotenuse. Take note how a 3-4-5 right triangle forms.
Liza earned some money by taking care of her neighbors pet. she bought a drink for $1.95 and a concert ticket for $30. she bought a ring for $7.20 and then two-thirds of the remaining money on a wireless speaker. if liza has 38.50 left, write and solve an equation to find the amount of money m liza earned by taking care of her neighbors pet.
The equation is 1.95+30+7.20+2/3(m-1.95-30-7.20)+38.50=m
The amount of money Liza earned is $154.65
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
let the money she earn be m.
the remaining money = m-1.95-30-7.20
So, her total earning is,
1.95+30+7.20+2/3(m-1.95-30-7.20)+38.50=m
39.15+38.50+2/3(m-39.15)=m
77.65+2m/3-26.10=m
77.65-26.10=m-2m/3
51.55=(3m-2m)/3
51.55*3=m
m=$154.65
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Write these fractions as powers of ten:
1/1000 7/100 000 1/10000000 3/60000
The fractions represented as power of ten are:
a. 1×(10)⁻³
b. 7× (10)⁻⁵
c. 1 × (10)⁻⁶
d. 5 × (10)⁻⁵
Given :
a. 1/1000
we know that 1/(10)³
when we take the reciprocal, the sign changes from positive to negative.
that is, 1×(10)⁻³
b. 7/100000
we know that 7/(10)⁵
likewise, we get
that is, 1×(10)⁻⁵
c. 1/10000000
we know that 1/(10)⁷
reciprocate it, we get
1×(10)⁻⁷
d. 3/60000
rearrange it.
3/6×10000
divide it.
1/2×10000
divide and multiply by 10.
10/2×10000×10
multiply it.
5/100000
5 × (10)⁻⁵
Hence we calculated the given fractions as powers of ten.
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is x-2 a equation? explain
Answer:
no
Step-by-step explanation:
an equation must and always have an equal sign(=) otherwise it is an expression e.g. 2x-3y or x-2
an equation will look like this: a=b or other equations
below is a sequence of numbers:
0.5, 3, 5.5, 8, …
Calculate:
(a) the 8th term,
Answer: ______________
(b) the 100th term,
Answer: ______________
(c) which term has a value of 148.
Answer:
a) 18
b)248
c) 58
Step-by-step explanation:
The formula is:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n-1)d
[tex]a_{n}[/tex] Is the number at the n term
[tex]a_{1}[/tex] Is the first number in the sequence
n Is the number for the term
d is the common difference. How much is added each time in the sequence. In this case, 2.5
Put in the numbers that you know and solve for the unknown.
A:
[tex]a_{8}[/tex] = 0.5 + (8 -1)(2.5)
[tex]a_{8}[/tex] = 0.5 +(7)(2.5)
[tex]a_{8}[/tex] = 0.5 + 17.5
[tex]a_{8}[/tex] = 18
B:
We follow the same pattern, but we are now looking for [tex]a_{100}[/tex].
[tex]a_{100}[/tex] = 0.5 + (100-1)(2.5)
[tex]a_{100}[/tex] = 0.5 + 247.5
[tex]a_{100}[/tex] = 248
C:
This time we know the value of the number in the sequence, we do not know which term it is.
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d Put in what we know
148 = 0.5 + (n -1)2.5 Distribute the 2.5
148 = 0.5 + 2.5n - 2.5 Combine like terms
148 = 3 + 2.5n Subtract 3 from both sides of the equation
145 = 2.5n Divide both sides by 2.5
58 = n
