A number that can be expressed in scientific notation will be (2 × 10³) × 4 × 10².
What is scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It may also be referred to as standard form, scientific form, or standard index form.
Always set the base to 10. The exponent must be an integer that is non-zero, therefore it can either be positive or negative. The coefficient's absolute value is more than or equal to 1, but it must be less than 10.
It should be noted that the number that can be expressed in scientific notation will be (2 × 10³) × 4 × 10². This will be:
= (2 × 10³) × (4 × 10²)
= 8 × 10^5.
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Eva bought 20 chicken wings for $20.00. If Eva spent $18.00, how many chicken wings did she buy?
Eva bought 18 chicken wings with $18
How to calculate the number of chicken wings that Eva bought ?Eva bought 20 chicken wings for $20
The first step is to calculate the cost of one chicken wing
= 20/20
= 1
1 chicken wings cost $1, if Eva spent $18 then the number of chicken wings bought can be calculated as follows
= 18 × 1
= 18
Hence Eva bought 18 chicken wings with $18
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In the diagram of circle P, mXYZ is 72. What is the value of x
Answer:
108°
Step-by-step explanation:
Please explain how.....
100 points
woah this looks hard
Solve each equation. Check for extraneous solutions. √2 x+9 - √x=3
the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.
We are given an equation:
√(2 x +9) - √x = 3
√(2 x +9) = 3 + √x
Raise both sides to the power 2, we get that:
2 x + 9 = 9 + x + 6√x
x = 6√x
Squaring both sides again, we get that:
x² = 6 x
x² - 6 x = 0
x ( x - 6) = 0
x = 0 or x = 6.
Therefore, we get that, the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.
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Which system is equivalent to StartLayout Enlarged left-brace 1st row y = negative 2 x squared 2nd row y = x minus 2 EndLayout? StartLayout Enlarged left-brace 1st row y = negative 2 y squared minus 2 2nd row x = y minus 2 EndLayout StartLayout Enlarged left-brace 1st row y = negative 2 y squared + 2 2nd row x = y + 2 EndLayout StartLayout Enlarged left-brace 1st row y = negative 2 y squared minus 8 y minus 8 2nd row x = y + 2 EndLayout StartLayout Enlarged left-brace 1st row y = negative 2 y squared + 8 y minus 8 2nd row x = y minus 2 EndLayout
The system of equations that's corresponding to the given function are y = 5 - x and 5 - x = 9x².
According to the statement
We have to find that the linear equation.
So, For this purpose, we know that the
The systems of equations, sometimes called simultaneous equations, are a group of relationships between various unknown variables that can be expressed in terms of algebraic expressions.
From the given information:
Given the systems of equations;
y = 9x²
and
x + y = 5
From equation 2:
y = 5 - x
Substitute into equation 1 to have;
5 - x = 9x²
From the resulting equation, we are able to see that the system of equations that's corresponding to the given function are y = 5 - x and 5 - x = 9x².
So, The system of equations that's corresponding to the given function are y = 5 - x and 5 - x = 9x².
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Mr Adi types up a short story.
It takes him 9 minutes to finish typing up the story at an average of 40
words per minute.
Mr Blade also types up the same story.
He takes 12 minutes to type it.
Work out Mr Blade's average number of words per minute.
...... words per minute
The average rate at which Mr. Blade types is 30 words per minute.
Average or mean is a measure of central tendency where it defines the central number of a data set.
Average is calculated by dividing the total sum of the values of the dat set divided by the frequency or the number of data in the set.
Mr. Adi takes 9 minutes.
The average rate of Mr. Adi is 40 words per minute.
So in 9 minutes he writes 40 × 9 = 360 words in total.
Mr. Blade typed the same number of words.
he took 12 minutes to type it.
So average rate = total words typed ÷ time taken (in minutes)
Average rate= 360 ÷ 12 =30 words per minute.
Hence Mr. Blade writes at the average rate of 30 words per minute.
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What Is 30332 Times 98663
Answer:
2,992,646,116
Step-by-step explanation:
I am big brain
Answer:
2992646116
Step-by-step explanation:
multiply starting with 98663
If your skateboarding on top of a small hill and take a break. You have 100 J of potential energy. If your mass is 80 kg, how high is the hill your skating on?
The height of the hill is 12.8 cm.
What is Gravitational potential energy?
The gravitational potential energy of an object is given by:
U = mgh
where,
m is the mass of the object.
g is the acceleration of gravity.
h is the height of the object.
Given that;
The potential energy = 100 J,
In this problem, we have;
The potential energy of the person is = U = 100 J
The mass of the person = m = 80 kg
Now, Solving for h, we find at what height the person is:
h = U /mg
h = 100 / 80*9.8
h = 12.8 cm
Hence, The height of the hill is 12.8 cm.
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Should I take Pre-Calculus 12 or Foundation of Math 12? PLEASE HELP ME Tell me the difference which one Is better when I graduate please help me
Answer:
honestly i say foundation of math12 ithink it will come more in handy in life
Which of the choices will NOT correctly find the distance between the two points: (3, −4) and (−2, 5)?
The distance between two given points (3, −4) and (−2, 5) is √106 units.
Given that, two points are (3, −4) and (−2, 5).
What is the distance formula between two points?Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.
The formula for the distance, d, between two points whose coordinates are d=√(x2-x1)²+(y2-y1)²
Now, put two points (3, −4) and (−2, 5) in the distance formula and simplify.
That is, distance = √[(-2-3)²+(5-(-4))²]
=√(25+81)
=√106 units
Therefore, the distance between two given points (3, −4) and (−2, 5) is √106 units.
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each side of a square is lengthened by 2 inches. the area of this new, larger square is 49 square inches. find the length of a side of the original square.
Length of a side of original square = 5 inches
Let's take the value of the length of the original square be to x.
As it is known that the area of the larger square has = 49 square inches, and the side are lengthened by 2 inches from the original square side.
So we have the expression:
[tex](x + 2)^{2}[/tex] = 49
x + 2 = 7
x= 5
Therefore the original side of the square is 5 inches.
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PLEASE HELP ME ASAP!
graph f(x)= -2|x+4|
use the khan academy graph
Answer:[tex]f\left(x\right)\le \:0[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}[/tex]
A sofa is on sale for 66% off. The sale price is $231.20.
The regular price of the sofa if 66% is given off, is $680.00
What is regular price?
The regular price of the sofa is the price at which it is sold without considering the coupon of 66%, in essence, it is 100% of the original price of the sofa, in short, if 66% is given off, then the sale price is 34% of the original price
34% of regular price=$231.20
1% of regular price=231.20/34
1% of regular price=$6.80
100% of regular price=$6.80*100
100% of regular price=$680
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Full question
A sofa is on sale for 66% off. the sale price is $231.20 . what is the regular price?
:
Complete the table given the following function:
y = 3x + 1
x y Ordered Pair
1
(1, 4)
2
(2,__)
3
(___,___),(____,____)
-1
(-1,___)
Considering the numeric values of the function, the points and ordered pairs are given as follows:
x = 2, y = 7, ordered pair (2,7).x = 3, y = 10, ordered pair (3,10).x = -1, y = -2, ordered pair (-1,-2).How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
An ordered pair is given by:
(x, f(x)).
In which f(x) is the numeric value.
For this problem, the function is given by the following rule:
y = 3x + 1.
When x = 2, the numeric value is given by:
y = 3 x 2 + 1 = 6 + 1 = 7.
Hence the ordered pair is (2,7).
When x = 3, the numeric value is given by:
y = 3 x 3 + 1 = 9 + 1 = 10.
Hence the ordered pair is (3,10).
When x = -1, the numeric value is given by:
y = 3 x -1 + 1 = -3 + 1 = -2.
Hence the ordered pair is (-1,2).
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Are they similar? Yes or no
Answer: Yes
Step-by-step explanation:
one is just bigger than the other if you blow the little one up than you can see they are the same!
linda is riding her bike to the restaurant. she rides at a constant speed of 32 feet per second. the restaurant is 6271 feet from her house. let t represent the number of seconds since linda left her house and let d represent linda’s distance from the restaurant.
Solving the distance-time problem here, the taken time to reach the restaurant is 196 seconds (approx.)
This is a distance-time problem.
To solve this problem the required formula is, d/t = v or, d/v = t,
where d is the represented distance and t denotes the required time, and v is denoted as the velocity or speed.
Here v, velocity is 32 feet/second, and d, distance is 6271 feet.
So, the taken time to reach the restaurant is 6271/32 = 196 seconds (approx.)
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8p + 4 = −9 + 7p help
The given equation is 8p + 4 = −9 + 7p.The value of p is -13.
The required solution for the given equation is p = -13
A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1.There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.
Now the given equation is,
8p + 4 = −9 + 7p
Solving them,
Taking variables to one side and constant to another, we get
8p-7p=-9-4
p=-13
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Solve each equation. ln (x-7)=2
After the solving equation ln (x-7)=2, the value of x is equal to [tex]e^{2}[/tex] + 7
We have been asked to find x in ln (x-7)=2
⇒ ln (x-7)=2
⇒ x - 7 = [tex]e^{2}[/tex]
⇒ x = [tex]e^{2}[/tex] + 7
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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how do i solve -4x+10>5x+55
Answer:
x<-5
Step-by-step explanation:
Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after the following amounts of time?
a. 30 seconds
b. 7 minutes
c. t minutes
I Will Give Brainly Crown Please Help I am so stressed its A Math Question (Geometry)
[tex]sum \: of \: interior \: angles = (5 - 2)180 = 540 \\ each \: angle = \frac{540}{5} = 108 \\ x + bcd = 180 \\ x + 108 = 180 \\ x = 180 - 108 = 72[/tex]
Answer: 72
What is an equation for the translation of y=2/x that has asymptotes at x=3 and y=-5 ?
(A) y=2/x-3 -5 (B) y=2/x+3+5 (C) y=2/x+5-3 (D) y=2/x-5+3
Correct option is A. Equation for the translation of y=2/x that has asymptotes at x=3 and y=-5 is y=2/x-3 -5.
Why do we use asymptotes?A curve's asymptote is the point at which the curve converges. In other words, despite being endlessly near, the curve and its asymptote never collide. Asymptotes are utilized in big O notation, are straightforward approximations to complicated equations, and are helpful for charting rational equations, among other uses.
Typically, the limit of a value when the function is not specified can be used to determine the asymptote(s) of a curve. Examples of such points include and as well as the location where the numerator of a rational function equals zero.
Given,
y = 2/x
asymptotes at x=3 and y=-5
⇒ denominator is (x-3)
⇒ y = -5 is highest degree of the equation.
⇒ The equation will be y=2/x-3 -5.
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Four years ago, Jennifer opened a saving account that earns 5% simple interest every year. She started the account with $650 and has not been touched the account since.
Answer:
$780
Step-by-step explanation:
Simple Interest Formula
[tex]\boxed{\sf A = P(1 + rt)}[/tex]
where:
A = Final amount.P = Principal amount invested.r = Interest rate (in decimal form).t = Time (in years).Given:
P = $650r = 5% = 0.05t = 4 yearsSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=650(1+0.05(4))[/tex]
[tex]\implies \sf A=650(1+0.2)[/tex]
[tex]\implies \sf A=650(1.2)[/tex]
[tex]\implies \sf A=780[/tex]
Therefore, the amount in the account now is $780.
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Please help with problem 24, Algebra 1 question, question in the attachments
Let [tex]x[/tex] be the "given angle" mentioned here. Then its complement indeed has measure [tex]90-x[/tex], and its supplement [tex]180-x[/tex].
Now translate the following sentence into an equation:
"The supplement of a given angle is 10° more than twice its complement."
[tex]\implies 180 - x = 10 + 2 (90 - x)[/tex]
Solve for [tex]x[/tex].
[tex]180 - x = 10 + (180 - 2x)[/tex]
[tex]180 - x = 190 - 2x[/tex]
[tex]2x - x = 190 - 180[/tex]
[tex]\boxed{x = 10}[/tex]
ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Answer:
D
Step-by-step explanation:
Answer:
D [tex]y = - 5 - 17[/tex]
Step-by-step explanation:
To make y the subject of formula in:
[tex]5x + y = - 17[/tex]
Mover 5x to the other side of the equation which makes it -5x due to the equality sign
Therefore:
[tex]y = - 5 - 17[/tex]
m∠ABC=(6x+8)° and m∠DEF=(12x−8)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?
A) m∠ABC = 68°; m∠DEF = 122°
B) m∠ABC = 47°; m∠DEF = 122°
C) m∠ABC = 47°; m∠DEF = 112°
D) m∠ABC = 68°; m∠DEF = 112°
Answer:
d is the correct answer
Step-by-step explanation:
m∠ABC = 68°; m∠DEF = 112°
Answer:
D is correct
Step-by-step explanation:
Supplemental angles add to 180
6x + 8 + 12x -8 = 180 Combine line terms
18x = 180 Divide both sides by 18
x = 10
Substitute 10 in for x
ABC
6x + 8
6(10) + 8
60 + 8
68
DEF
12x - 8
12(10) - 8
120 - 8
112
Maria made a bunch of muffins for a bake sale. She made 5 corn, 6 banana, 2 blueberry, and 10 chocolate chip. What is the ratio of bananas to total?
Help please with question
Answer:
a. 62
b. 8.8
c. 2.8
Step-by-step explanation:
can you mark as brainiest if correct please?
Fill in the blanks
The inverse of an exponential function with a base e is the ________.
The inverse of an exponential function with a base e is the logarithm.
A logarithm is defined simply?
The power to which a number must be increased in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents). For instance, since ten raised to the power of two equals 100, the base ten logarithm of 100 is 2: log 100 = 2.How does exponential growth utilise e?
e is the constant growth rate that all processes that are growing continuously share. With e, you may compare a simple growth rate—where all change occurs at the end of the year—with a compound, continuous growth rate, where growth occurs once per nanosecond or quicker.Learn more about logarithm
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George has two routes that he likes to use for walking. He can walk 672 yards in 6 minutes on Path A, and he can walk 984 yards in 8 minutes on Path B. How many more yards per minute can George walk on Path B?
Answer:
11 more yards per minute on Path B.
Step-by-step explanation:
Path A: 672 yards in 6 minutes = 112 yards per minute.
Path B: 984 yards in 8 minutes = 123 yards per minute.
123 - 112 = 11 yards per minute longer on Path B.
Answer:
156 yards per minute
Step-by-step explanation:
first off remember to have a label
it is change in Y over change in X so
984-672/ 8-6
you could get 312/2
which equal 156
I attached a photo to make it clear