A number written in scientific notation has a Negative Exponent that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.
The coefficient is always a number larger than or equal to one and less than ten in scientific notation. There is an integer exponent. When using scientific notation to write integers bigger than ten
The exponent is positive and equals the number of spaces to the left of the original decimal point. When expressed in scientific notation, a negative exponent. The exponent's value is equal to how many places to the right the decimal has been pushed.As a result, when a number is smaller than 1, it will have a negative exponent in scientific notation.
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Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. 3 1/3 -1/3 −3
This is about interpretation of graphs.
Option C is correct.
From the graph, we can see the 2 lines representing function f(x) and function g(x).
Now for us to find the value of x in g(x) = k⋅f(x), we need get a mutual x-coordinate where we can easily read their respective y-coordinate values.
We see that the best point for that is where x = -3.
For f(x), when x = -3, y = 1
For g(x), when x = -3, y = -3
we can rewrite them as;
x = -3, f(-3) = 1 and x = -3, g(-3) = -3
Let us plug in the relevant values into g(x) = k⋅f(x) to get;
-3 = k(1)
Thus; k = -1/3
Cate solved an inequality to find c, the possible number of cats that a shelter can house. She found that c < 28. Which statement best describes a possible solution to Cate’s problem?
The shelter can house 15.6 cats because 15.6 < 28.
The shelter can house –8 cats because –8 < 28.
The shelter can house 17 cats because 17 < 28.
The shelter can house 28 cats because 28 < 28.
Answer:
The shelter can house 17 cats because
17 < 28.
Step-by-step explanation:
We cannot have fractions of cats, and we cannot have a negative number of cats. So the third statement is reasonable because c < 28.
Mr. Thakuri deposited Rs.2,00,000 in her fixed account at a bank for 3 years. The bank pays her the simple interest at the rate of 10℅ p.a. How much net interest would she get if 5 % of interest in charged as income tax?
The net interest she would get on the amount deposited is $57,000.
What is the net interest?The net interest is the total interest earned less tax.
Interest = amount deposited x simple interest x time
200,000 x 0.1 x 3 = $60,000
Net interest = $60,000 x (1 - 0.05)
$60,000 x 0.95
$57,000
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How many 1/4 minutes are there in 3/4 minutes?
Answer: 3
Step-by-step explanation:
[tex]\frac{\frac{3}{4}}{\frac{1}{4} }=3[/tex]Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)
An expression is shown below:
4ck2 + 10k- 16ck 40k
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
a)
The GCF is 2k hence: 2k(2ck + 5k - 8c - 20)
b)
2k(2ck + 5k - 8c - 20)
After further factorization:
2k(k - 4)(2c + 5)
Can someone help with question 3? I would like to see the working and answer on paper, I’m in a hurry
Answer:
Step-by-step explanation:
so...
on your new sheet of paper, draw a straight horizonal line label one end Y the other Z ( Y will be your vertex, point of angle )
then on original figure, use a compass and put the in B and measure to A
on new sheet put the pin in Y and draw an arc ( lightly )
now back to orig and put pin in C and measure up to A
on new put pin onthe line so that when you draw an arc it will bisect the one you did previously. will will create a point . join the point to Y
hope that makes some sort of sense.
someone help me get outta summer school slope? And y intercept?
Ria left home at 13:00
She drove for 30 minutes at a constant speed of 40 mph.
She then stopped for a break.
Ria then drove to the hospital at a constant speed.
She was at the hospital for 30 minutes.
She then drove home at a constant speed of 32 mph.
Show that she does not arrive home before 16:30
Ria will not arrive before half past four because in total the activities that she did will take her at leat three hours and forty-five minutes.
How to know the time Rita spent in each activity/movement?The time can be determined by using the graph. In the graph, the time is represented by small squares. Each of this squares will be equivalent to 15 minutes.
You can infer this because Rita first drove for 30 minutes and in the graph the line goes from 0 in the x axis to two squares to the right (30/2 = 15 minutes.)
How much time did Rita spent?First movement: 30 minutesBreak: 30 minutes (2 more squares)Drive to the hospital: 60 minutesTime at the hospital: 30 minutes Drive back home: 75 minutes(Total distance 40 miles/ 32 miles per hour = 1.25 hours)Total: 225 minutes or 3 hours and 45 minutesIf she started this activities at 13:00 so she will go back home at 4:45.
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how do i do this? i need to factor it conpletely with any method that goes with it
Answer:
(x-9)(x+8)
Step-by-step explanation:
Use the AC method
Which of the following values are in the range of the function graphed below?
Check all that apply.
first answer gets brainliest need asap!!!
Answer:
1
Step-by-step explanation:
Although you did not give me the answer choices, I believe that the only possible answer is 1 because the only y value the graph is on is 1.
disributivity of multiplication over addition for rational numbers solve : -3/4 , 2/3 and -5/6 = 1/8 ? how ?
The distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
Complete questionWhich of the following is an example of distributive property of multiplication over addition for rational numbers
(a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
(b) -3/4 × {2/3 + (-5/6)} = [3/4 × 2/3] - (-5/6)
(c) -3/4 × {2/3 + (-5/6)} = 2/3 + (-3/4) × -5/6
(d) -3/4 × {2/3 + (-5/6)} = {2/3 + (-5/6)} - 3/4
How to determine the correct distributive property?The distributive property of multiplication states that:
a * (b + c) = (a * b) + (a * c)
From the given question, we have:
-3/4 × {2/3 + (-5/6)}
This means that:
a = -3/4
b = 2/3
c = -5/6
Recall that a * (b + c) = (a * b) + (a * c)
So, we have:
-3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
Hence, the distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
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Hey guys- need help here. Topic- exponents.
If f(x) = 2x² + 3x and g(x) = x - 2, what is (f+ g)(2) ?
[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=2x^2+3x\\g(x)=x-2\\\\(f+g)(2)=2\cdot2^2+3\cdot2+2-2=8+6=14[/tex]
the vate rate of a country is 15% ,a woman bought an item with a price tag ghc 300 plus vat .what price did she pay for the item.
Answer:
i think 345 if not sorry
Step-by-step explanation:
PLEASE I NEED THE ANSWER QUICKLY
1. A local newspaper charges $42 per half-page advertisement and $86 per full-page advertisement. Kathryn has a budget of $1192 to purchase 20 advertisements.
(a) Define a variable for each unknown.
Write a system of equations to represent the situation.
(b) How many full-page advertisements does Kathryn purchase?
Show your work.
(c) How many half-page advertisements does Kathryn purchase?
Show your work.
Answer:
x = 12 half page advertisements
y = 8 full page advertisements
Step-by-step explanation:
42x + 86y = 1192
x + y = 20
y = 20 - x
Input (20-x) as y into the first equation
42x + 86(20-x)=1192
42x + 1720 - 86x = 1192
(42x - 86x) 1720 -1720= 1192-1720
-44x = -528
x = 12
12 + y = 20
y=8
a. 'x' represents half page advertisement and 'y' represents full page advertisement.
System of equation is given by 42x + 86y = 1192 , x + y =20.
b. Number of full page advertisement Kathryn purchase is equals to 8.
c. Number of half page advertisement Kathryn purchase is equals to 12.
What is system of equation?" System of equation is defined as the finite set of equations for which we find a common solution."
According to the question,
Cost of half page advertisement = $42
Cost of full page advertisement = $86
Number of advertisement Kathryn could purchase = 20
Total budget of Kathryn to purchase advertisement = $1192
'x' represents half page advertisement
'y' represents full page advertisement
As per the situation given system of equation we have,
42x + 86y = 1192 ______(1)
x + y = 20
x = 20 - y _____(2)
Substitute the value of 'x' from system of equation (2) in (1) we get,
[tex]42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8[/tex]
Substitute the value of y in (2) to get 'x' ,
[tex]x=20-8[/tex]
= 12
Hence,
a. 'x' represents half page advertisement and 'y' represents full page advertisement.
System of equation is given by 42x + 86y = 1192 , x + y =20.
b. Number of full page advertisement Kathryn purchase is equals to 8.
c. Number of half page advertisement Kathryn purchase is equals to 12.
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Victor just bought a new television for $682.00. He made a down payment of $55.00 and will pay monthly payments of $33.00 until it is paid off. How many months will Victor be paying? (Assume that Victor pays no interest.)
Answer:
19 months
Step-by-step explanation:
First off 682- 55 = 627. 627/33 = 19
Given: ABC with AD | CB Prove: m/1 + m/3 + m/2 = 180, by putting the reasons in the correct order. A 3 Z C 5 8 Given : AABC with AD | CB Prove : m / 1 + m / 3 + m / 2 = 180 , by putting the reasons in the correct order .
Answer:
98798765
Step-by-step explanation:
67654678765
If the function f' has a continuous derivative on [0, c] then integral from 0 to c f"(x)dx=
The result follows from the fundamental theorem of calculus. Since [tex]f''(x)[/tex] is the derivative of [tex]f'(x)[/tex], we have
[tex]\displaystyle \int_0^c f''(x) \, dx = \boxed{f'(c) - f'(0)}[/tex]
(E)
Circle O has a circumference of approximately 44 in.
----d
O
Mark this and return
What is the approximate length of the diameter, d?
O 7 in.
O 14 in.
O 22 in.
O
44 in.
Save and Exit
xt
Submit
In each of problems 5 through 11, find the general solution of the given differential equation
The complete question is
"Find the general solution of the given differential equation
y''-y=0, y1(t)=e^t , y2(t)=cosht
The function [tex]y(t)=e^t[/tex] is the solution of the given differential equation.
The function y(t)=cosht is the solution of given differential equation.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
Given;
[tex]y_1(t) = e^t[/tex]
Given differential equations are,
y''-y = 0
So that,
[tex]y' (t) = e^t, y'' (t) = e^t[/tex]
Substitute values in the given differential equation.
[tex]e^t -e^t=0[/tex]
Therefore, the function [tex]y(t)=e^t[/tex] is the solution of the given differential equation.
Another function;
[tex]y(t)=cosht[/tex]
So that,
[tex]y"(t)=sinht\\\\y"(t)=cosht[/tex]
Hence, function y(t)=cosht is solution of given differential equation.
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in exponential growth functions. the base of the exponent must be greater than 1? how would the function change if the base of the exponent were between 0 and 1?
The function would become an exponential decay function.
Which can be represented as set of ordered pairs?
A. Expression
B. Relation
C. Equation
D. All of the choices
Answer:
D.All of the choice
Step-by-step explanation:
D.All of the choice
Hi! Hope you're having a good day. So, there's a problem I had gotten wrong while I was preparing for the ACT, however, I didn't know how to answer the question to begin with. Can someone give me a step-by-step explanation on how this problem is solved correctly? (Picture included). Inside of the picture I included the answer I chose and the correct answer, could you also explain what I had done wrong? I used the FOIL method, but now I think that was incorrect to begin with. I also reattempted to do what I had done before, but each time I get a different answer, if you can help that'd be fantastic! :)
Answer:
[tex]3a^2+12a+12[/tex]
Step-by-step explanation:
first, you have to plug in x = a+2 into the function, which would look like:
[tex]f(a+2) =3(a+2)^2[/tex]
then, you can first simplify [tex](a+2)^2[/tex]. to do this, use the rule [tex](a+b)^2 = a^2 +2ab + b^2[/tex], so it would be [tex]a^2+(2*a*2)+2^2 = a^2 + 4a + 4[/tex]
this means your new equation is:
[tex]3(a^2+4a+4)[/tex]
you can then distribute the 3:
[tex]3*a^2+3*4a + 3*4 = 3a^2+12a+12[/tex]
let me know if there's anything you want me to clarify!
Can some help me with this, it’s urgent pls? It’s geometry
Please help me with this one question ASAP
Answer:
the red parallelogram had x=6
for the blue one, other sides values must be known which is not in the picture
Step-by-step explanation:
Now that you have x² - 8x 16 = 9 16, apply the square root property to the equation.
The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The equation is given below.
x² – 8x + 16 = 9 + 16
Then the equation can be written as
(x – 4)² = 25
x – 4 = ±5
x = 4 ± 5
x = -1, 9
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Find the coordinates of the midpoint of the segment whose endpoints are given W (-3,-7) and X (-8,4)
1. (-11/2) -(11/2)
2.(-5/2)-(3/2)
3.(-5/2-(11/2)
The coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2). Then the correct option is D.
The complete options are given below.
1. (-11/2) -(11/2)
2.(-5/2)-(3/2)
3.(-5/2-(11/2)
4. (-11/2) -(-3/2)
What is the midpoint of line segment AB?Let C be the mid-point of the line segment AB.
A = (x₁, y₁)
B = (x₂, y₂)
C = (x, y)
Then the midpoint will be
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
The end points are given below.
(-3, -7) and (-8, 4)
We have
(x₁, y₁) = (-3, -7)
(x₂, y₂) = (-8, 4)
Then the mid-point will be
x = (- 3 - 8) / 2
x = -11 / 2
y = (-7 + 4) / 2
y = -3/2
Then the coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2).
Then the correct option is D.
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If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft
Based on the information given the length of one side of the hot tub is 4. 8 ft. So the correct option is B.
The complete question is given as:-
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the centre of dilation. Square A B C D is dilated to create square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Length: Using this formula
Length=B prime C prime length/Scale factor
Where:
B prime C prime length=24 feet
Scale Factor=5
Let plug in the formula
Length=24ft/5
Length=4.8ft
In conclusion, the length of one side of the hot tub is 4. 8 ft.
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You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 40 km south and 113 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
5.12 minutes ≈ 5 minutes 7.2 seconds
What is Distance?Distance. The length along a line or line segment between two points on the line or line segment.
Here, The flight path of the airplane is along the line ...
y = -125/135x = -25/27x
The perpendicular line through Mt. Rainier's location is ...
y = 27/25(x -56) -40
In standard form, these two equations are ...
25x +27y = 0
27x -25y = 2512
The point of closest approach has the coordinates that are the solution to these two equations:
(x, y) = (33912/677, 31400/677)
The distance d from the origin to this point is given by the Pythagorean theorem (distance formula) as ...
d = 1256√(2/677) . . . . . km
This distance can be converted to time using the speed of the airplane:
1256√(2/677) X 60/800 = 94.2√(2/677) ≈ 5.120019 mins
Thus, 5.12 minutes after departing JBLM you will be closest to Mt. Rainier.
The attached graph shows the geometry of the problem.
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Josie needs to rent a car from SureRide Car Rentals. The cost of renting a car iS a
one-time fee of $80 plus $0.75 per mile. Write and graph an equation to represent
pay tO rent a car a from SureRide.
the cost which Josie must
Answer: y = 0.75x + 80
Step-by-step explanation:
let x = 1 mile
y = 0.75x + 80
