Answer:
Plug the following equation in your calculator and this will be your result
7.247 x 10^6
The value of the exponential equation in scientific notation A = 7.247 x 10⁶
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Let the first number be p = 7.26 x 10⁶
Let the second number be q = 1.3 x 10⁴
Now , the equation is A = p - q
A in the scientific notation is
Substituting the values in the equation , we get
A = 7.26 x 10⁶ - 1.3 x 10⁴
On simplifying the equation , we get
Taking the common factor as 10⁴ , we get
A = 10⁴ ( 7.26 x 10² - 1.3 )
A = 10⁴ ( 726 - 1.3 )
On further simplification , we get
A = 10⁴ ( 724.7 )
And , the value of A in scientific notation is A = 7.247 x 10⁶
Hence , the exponential equation is A = 7.247 x 10⁶
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1 foot = how many inches
Answer:
12 inches = 1 foot
Step-by-step explanation:
Really?
i need to know how to solve this
Answer:
let's say (5x + 2) = y
then that means 118° + y = 180°(angle in a straight line)
therefore y =180 - 118= 62°
since y = 5x + 2
and y= 62°
therefore 5x + 2 = 62°
5x = 62- 2= 60°
therefore 5x = 60°
this means that x = 60 ÷5 = 12°
HELP ME ASAP PLS!!
PLUMBING Salvatore is a plumber. He charges $100 for all work that is completed in less than 2 hours. He charges $250 for work that requires 2
to 5 hours, and he charges $400 for work that takes between 5 and 8 hours.
Which best describes the domain of the function that models Salvatore's price scale?
O A) The domain is {100, 150, 400}.
OB) The domain is {z 0 < x < 8}.
C) The domain is {z 100 < x < 400}.
OD) The domain is {zz = 2, 5, 8}.
The domain of the function that models Salvatore's price scale is; {x 0 < x < 8}.
What is the Domain of the Inequality?The domain of a graph is defined as the set of possible input values of a function.
Now, we are told that he charges $100 for all work that is completed in less than 2 hours and also that he charges $400 for work that takes between 5 and 8 hours.
This means that the number of hours will be less than 2 but cannot be zero but it is less than or equal to 8
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Fill in the blanks with numbers of your choice so that the equation has the given solution. Each blank may be replaced by a different number.6x + ____ =7x-____ , solution is 18
The blanks in the question has same value and it is equal to 9
Given data
6x + ____ =7x-____ , solution is 18
How to find the missing numberslet the missing number be in the left hand side of the equation be equal to the missing number at the right hand side of the equation and both be represented by y.
if the solution is x which is 18 we substitute for y as follows
6x + y = 7x - y
y + y = 7x + 6x
plugging in the values of x
y + y = 7 * 18 - 6 * 18
2y = 126 - 108
2y = 18
y = 9
testing y = 9 in both equations
6x + y = 6 * 18 + 9 = 108 + 9 = 117
7x + y = 7 * 18 - 9 = 126 - 9 = 117
Hence we can say that the blanks in the question has same value and it is equal to 9
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Can somebody help me...
Answer:
EFBGCADHI
That one is confusing, I'm not really sure.
Megan recorded the temperature in her garden each morning for 6 days. The mean of her six recorded temperatures was 2.1 °C. The temperature on one of the days was 4.1 °C. What was the mean of her other 5 recorded temperatures? Give your answer as a decimal.
The mean of the remaining temperature will be 1.7°C
How to calculate the value?Since the mean of her six recorded temperatures was 2.1 °C, the total temperature will be:
= 6 × 2.1
= 12.6°
Since the temperature on one of the days was 4.1 °C, the mean of the remaining temperature will be:
= (12.6 - 4.1)/5
= 8.5 / 5
= 1.7
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Half of the smaller of two consecutive even integers is equal to two more than the larger integer
By solving a linear equation we can see that:
The smaller number is -8The larger number is -6How to find the two numbers?
Here we have two consecutive even integers, we can write these as x and x + 2
We know that half of the smaller of the two is equal to 2 more than the larger one, this can be writen as:
x/2 = (x + 2) + 2
Now we can solve that linear equation for x:
x/2 = x + 2 + 2
x/2 = x + 4
-4 = x - x/2
-4 = x/2
-4*2 = x = -8
The smaller number is -8
The larger number is -8 + 2 = -6
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please help!! 8x + 12 = 3x + 27 show your work!
Answer:
x=3
Step-by-step explanation:
8x-3x=27-12
5x=15
x=15/5=3
x=3
Answer:
x=3
Step-by-step explanation:
8x + 12 = 3x + 27
Subtract 3x from both sides.
5x+12=27
Subtract 12 from both sides.
5x=15
Divide 5 from both sides.
x=3
Hope this helps!
Please mark as brainliest if correct!
An artist uses gold leaf foil in his work. he wants to cover a piece of canvas that is 22.5 by 34 inches with this foil. the foil costs $4.15 per square inch. how much money will the artist spend on gold leaf foil for his project?
If an artist uses gold leaf foil in his work and he wants to cover a piece of canvas that is 22.5 by 34 inches with this foil and the foil costs $4.15 per square inch, then the money the artist spent on gold leaf foil for this project is equal to $3174.75
The money spent on gold leaf foil for the project can be calculated by the multiplication of the area or square inch of the foil needed to cover the piece of canvas with the price per square inch.
The area or square inches can be calculated by multiplying the length in inches by the width in inches.
Area = 22.5 × 34
Area = 765 square inches
Now, money spent on gold leaf foil can be calculated by multiplication of the area of the need with the price per square inch.
Area × price per square inch
765 × 4.15 = $3174.75
Hence the money the artist spent on gold leaf foil is calculated to be $3174.75
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6. Chasing Angles: Find the measure of all the missing interior and exterior angles in this figure using linear pairs, vertical angles, and triangle angle sum.
The missing angles of triangles are - 30°, 50°, 40°.
What is the angle - sum property of the triangle?
According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the internal angles of a triangle is always 180o, regardless of whether it is acute, obtuse, or right.
There are 5 triangles in the given diagram,
We will see them anti - clock wise.
All the triangles are right - angled triangle.
The measures of 1 triangle are -
90°, Let the other 2 angles be x,y
The measures of the 2nd triangle are -
Given,
60°, 90°
Using angle sum property,
The measure of third angle = 180°
= 60 + 90 + third angle = 180
third angle = 180 - 150
= 30.
The measures of 3rd triangle are -
Given,
40°, 90°
Using angle sum property,
The measure of third angle = 180°
= 40 + 90 + third angle = 180
third angle = 180 - 130
= 50.
The measures of 4th triangle are -
50°, 90°
Using angle sum property,
The measure of third angle = 180°
= 50 + 90 + third angle = 180
third angle = 180 - 140
= 40.
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State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
The set of all possible outcomes is the sample space.
True, this sentence is true .
The set of all possible outcomes is the sample space.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.True, this sentence is true .
The set of all possible outcomes is the sample space.
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please help
ASAP HELPP
From the given graph, we have that:
The constant of the relationship on the graph is of 5.The point (7,35) in the proportional relationship graphed in this problem means that 35 gallons of water were used in 7 minutes.What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality, in the case of a direct relationship, as follows:
y = kx
In the case of an inverse relationship, we have that:
y = k/x.
k is the constant of proportionality for both cases.
For this problem, the function goes through point (2,10), that is, when x = 2, y = 10, meaning that we can find the constant k as follows:
2k = 10
k = 10/2
k = 5.
The constant of the relationship on the graph is of 5.
For the relationship, we have that:
The input x is the time in minutes.The output y is the water used in gallons.Hence:
The point (7,35) in the proportional relationship graphed in this problem means that 35 gallons of water were used in 7 minutes.
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Question:
Which part of the story begins the development of a character? (5 points)
Exposition
Climax
Falling action
Resolution
Answer: It is (3,5) other one is 5. I did two of them lol.
Find the measures of each numbered angle.
c. ∠ 4
Measure of angle 4 i.e. m∠4 = 50°
What is measurement of an angle ?The measurement of angle is the degree of that angle or we can also say that the angles are always measured in degree. In geometry, the complete one revolution of four quadrants is of 360 degrees (360°) and divided into total of 360 parts where each part of this represents a degree.
How to find angle measurement ?As stated above there are total 360 parts in one revolution thus thus we can find value of particular angle by subtracting the angle from 360 or 180 for a straight line.
In the question,
Let given angle is ∠8.
Given, ∠8 = 50°
Now, according to vertical angle property
∠5 = ∠8
therefore, ∠5 = 50°
Also, ∠5 = ∠4 (alternate interior angles)
Thus, m∠4 = 50°
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The complete question is :
Find measures of numbered angle.
a. ∠2
b. ∠3
c. ∠4
I need help its a math crisis T-T
Please try to get it right...
Answer:
A is the answer.
Step-by-step explanation:
The lower line has slope 2 and passes through (0, 0). The clear circle indicates that the point where x = 1 is not included.
So, if x < 1 the function is 2x.
if x >= 1 the line is 1/2x + 5/2.
The formula S = 2nr + 2nrh is used to find the surface area of a cylinder. Solve this formula for h.
Answer:
h = (S - 2nr) / 2nr
Step-by-step explanation:
S = 2nr + 2nrh
2nrh = S - 2nr
h = (S - 2nr) / 2nr
A homeowner whose house was assessed
at $120,000 pays $1,800 in taxes. At the
same rate, what is the tax on a house
assessed at $135,000? PLS SOMEONE HELP me !!!And ty !!!
Thus the tax rate is 1.5% and the 1.5% tax value of $135,000 is $2025.
How do we find the tax rate?We are given that;
A homeowner whose house was assessed at $120,000 pays $1,800 in taxes.
At the same rate, we need to find out what the tax value on a house assessed at $135,000.
The rate is always in percentage. Thus;
Tax value = 5% of 100
= 5/100 x 100
= $5
We have,
House cost = $120,000
Tax amount = $1800.
Let the rate be R%
Now;
R/100 * 120,000 = 1800
R * 1200 = 1800
R = 1800/1200
R = 18/12 = 1.5
R = 1.5%
The tax rate is 1.5%
The 1.5% tax value of $135,000 = 1.5 / 100 * 135,000
= 15/1000 x 135,000
= 15 x 135
= $2025
The tax value is $2025.
Thus the tax rate is 1.5% and the 1.5% tax value of $135,000 is $2025.
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Question 3 of 10
The sequence an = 8, 13, 18, 23, ...is the same as the sequence a₁ = 8,
an = an-1 +5.
O A. True
OB. False
SUB
True, The sequence an = 8, 13, 18, 23, ...is the same as the sequence a₁ = 8,
an = an-1 +5.
What is an arithmetic sequence?An arithmetic sequence is a set of integers which follow a specific pattern. It is an arithmetic sequence if you pick any number in the sequence and subtract it from the preceding one, and the result is always the same or constant.
The common difference, indicated by the letter d, is the constant difference between all pairs of consecutive or succeeding numbers in a sequence. To transition from one phrase to another, we use the common difference. How? To get to the following term, take the current term and add the common difference, and so on. That is how the sequence's terms are formed.
The first equation is as follows: a(sub n) = 8, 13, 18, 23.
The second equation is: a(sub 1)=8; a(sub n)= a(sub n-1)+5
To obtain the second term, enter two into the equation for n 8+5=13. To find the third, enter the second term, 13, into the equation for n 13+5=18.
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how do you do factors of 5 grade
Answer:
If we divide 5 by any other integer, then the remainder will be a non-zero positive integer.
Step-by-step explanation:
Find the geometric mean between pair of numbers.
40 and 15
The value of the geometric mean of the numbers 40 and 15 is.
Gm ( 40, 15) = 10√6
What is the geometric mean?The geometric mean is defined as a type of measure that is calculated as the root of a product between a set of numbers, it can be expressed as follows:
Gm (a,b) = √ab
Then in our case that we have the values 40 and 15, these are equivalent to the variables a and b
a = 40b = 15We substitute and solve for the square root
Gm (40, 15) = √40×15
Gm (40, 15) = √600
Gm (40, 15) = √6×100
Gm ( 40, 15) = 10√6
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Identify the type of data (qualitative/quantitative) and the level of measurement for the eye color of survet respondents.
Qualitative data depicts qualities or characteristics. This type of data is qualitative and nominal.
What is qualitative data?Qualitative data are the conceptual and descriptive findings gathered by surveys, interviews, or observation. We can explore concepts and provide more context for quantitative findings by analyzing qualitative data.
Qualitative data exist as measures of "types" and can be represented by a name, symbol, or number code, whereas quantitative data exist as information on numerical variables (such as how many, how much, or how frequently).
Numbers are used to expressing measures of values or counts in quantitative data. Binary, nominal, and ordinal are the three primary forms of qualitative data.
Qualitative data comes in a wide variety of forms, including those used in statistics, work, and research. This type of data is qualitative and nominal.
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What operation is needed to solve this problem: There will be 460 people at the sport’s award banquet. If each table seats 8 people, how many tables are needed?
subtraction
multiplication
division
addition
line A: y = 1/2x + 2
line B: y = -1/2x + 7
line C: y = 2x + 4
line D: y = 1/2x + 5/4
Which lines are perpendicular?
y-7=8
What’s the value of y
Answer:
y= 15
Step-by-step explanation:
well I did first was I took eight and added seven because we're trying to find out what why is and whatever why is y - 7 is 8 so I added eight and seven together to get 15 and then I subtracted something and got me beat again .
porque 2x+11=3 no da positivo?
Step-by-step explanation:
2x - 11 = 3
2x = 3 + 11
2x = 14 (divide both sides by 2 to get x)
2x/2 = 14/2
x = 7
Answer: x= neagtive 4
Step-by-step explanation:
Use the following bowling scores for six members of a bowling team: 175,210,180,195,208,196 .What is the mean of the scores?
Answer:
1000.6 (The 6 is a repeating so make sure to put a line over it)
Step-by-step explanation:
175+210+180+195+208+196
1164/6
1000.6 ( Put line over 6 is repeating decimal )
Position and label each triangle on the coordinate plane. (Lesson 4-8)
Isosceles ΔQRT with base QR that is b units long.
The isosceles triangle's base can be positioned along the x-axis. Because QR is b units long, you can position point R along the x-axis and calculate the coordinates (b, 0).
What is meant by an isosceles triangle?
An isosceles triangle is a triangle with at least two equal-length sides in geometry. It is sometimes specified as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter version including the equilateral triangle as a special case.
By putting Q at the origin, the isosceles triangle's base can be positioned along the x-axis. Because QR is b units long, you can position point R along the x-axis and calculate the coordinates (b, 0). Because the vertex of the isosceles triangle, point T, is directly above the midpoint of the base, its x-value is half the length of QR and its coordinates are (b/2, c).
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A house is built on a triangular plot of land. Two sides of the plot are 160 feet long, and they meet at an angle of 85^{\circ} . If a fence is to be placed along the perimeter of the property, how much fencing material is needed?
The total fencing material needed for the triangular plot is 537.03 feet.
What is termed as law of cosine?A trigonometric law: the square of a plane triangle's side equals the sum of the squares of a remaining sides minus double the the product of such sides as well as the cosine of a angle between them.
If the triangle ABC is having the sides a, b and c.
Then, the formula for law of cosine is;
c² = a² + b² - 2abcosC
Now, as per the given question;
The first step is to compute the length of the fence's third side. The following formula can be used to calculate the length of a third side:
c² = a² + b² - 2abcosC
Where a,b and c are the three sides and C is the angle forming between sides a and b.
The sides are a = 160 feet, b = 160 feet.
The angle between the sides a and b is 85 degrees.
Now, estimate for c by substituting all the value in the formula.
c² = 160² + 160² - (2 x 160 x 160)cos85
c² = 51,200 - 51200 x0.087
c = √47104
c = 217.03 feet
Now, the total length of the perimeter = 160 + 160 + 217.03
= 537.03 feet
Therefore, the total length of the perimeter of the fencing material is found to be 537.03 feet.
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The sum of two numbers is 6.006 One number has a 6 in the tenths
place and a 2 in the thousandths place. The other number has a 3 in the
ones place and a 7 in the hundredths place. What are the two numbers? The number is 6.006 not 5.036.
The two numbers include 1.6682 and 4.3378 and this will give a sum of 6.006.
How to illustrate the information?From the information, the sum of two numbers is 6.006 One number has a 6 in the tenths place and a 2 in the thousandths place and the other number has a 3 in the ones place and a 7 in the hundredths place.
In this case, the two numbers include 1.6682 and 4.3378 and this will give a sum of 6.006. The sum will be:
= 1.6682 +4.3378
= 6.006
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please help i will give out brainlist
Answer:
slope of ST = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
calculate the slope of PT using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = P (2, 2 ) and (x₂, y₂ ) = T (- 1, - 4 )
[tex]m_{PT}[/tex] = [tex]\frac{-4-2}{-1-2}[/tex] = [tex]\frac{-6}{-3}[/tex] = 2
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{ST}[/tex] = - [tex]\frac{1}{m_{PT} }[/tex] = - [tex]\frac{1}{2}[/tex]
Determine whether each sequence is geometric. If so, find the common ratio. 1/2, 1/4, 1/6, 1/8, . . . . .
The given sequence is not geometric.
What is a geometric progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
Given: [tex]\frac{1}{2}, \frac{1}{4},\frac{1}{6},\frac{1}{8},...[/tex]
Here, [tex]\frac{\frac{1}{4}}{\frac{1}{2}}\neq \frac{\frac{1}{6}}{\frac{1}{4}}\neq \frac{\frac{1}{8}}{\frac{1}{6}}[/tex]
That is, the given sequence doesn't follow the only required condition for a sequence to be geometric.
Hence, The given sequence is not geometric.
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