Answer:
A 1
Step-by-step explanation:
1/3×1/3=1/9x1/3=1/27
27x1/27=1
Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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7/9 x 1/2 =
what’s the answer guys
Answer:
0.388
Step-by-step explanation:
7/9 x 1/2 = 0.388
solve for x in the diagram
sorry its a little messy!! not good at drawing with a finger haha. all you need to do is follow pedmas and isolate, knowing that a right angle=90°. hope this helps!<3<3
Answer: \(\Large\boxed{x=12}\)
Step-by-step explanation:
Given information
∠1 = x + 42°
∠2 = 3x°
Total Angle = 90° (Right Angle)
Derived formula from the given information
∠1 + ∠2 = Total Angle
Substitute values into the given formula
(x + 42) + (3x) = (90)
Combine like terms
x + 3x + 42 = 90
4x + 42 = 90
Subtract 42 on both sides
4x + 42 - 42 = 90 - 42
4x = 48
Divide 4 on both sides
4x / 4 = 48 / 4
\(\Large\boxed{x=12}\)
Hope this helps!! :)
Please let me know if you have any questions
Find m and c for this line
Y+3x=1
Answer:
m = -3 ; c = 1
Step-by-step explanation:
y = -3x + 1
y = mx + c
m = -3
c = 1
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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If a = 17, what is 18a - 89 ?
Answer: 18(a)-89=217
Step-by-step explanation:
If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.
Hope this helped.
Answer:217
Step-by-step explanation:
putting the value of a in the equation.
18×17-89= 217
Consider the probability statements regarding events A and
B below.
P(A or B) = 0.3
P(A and B) = 0.2
P(AB) =0.8
What is P(B)?
A) 0.1
B) 0.375
C) 0.25
D) 0.667
The calculated value of the probability of B is (c) 0.25
How to calculate the probability of BFrom the question, we have the following parameters that can be used in our computation:
P(A or B) = 0.3
P(A and B) = 0.2
P(A/B) =0.8
First, we have
P(A/B) = P(A and B)/P(B)
Substitute the known values in the above equation, so, we have the following representation
0.2/P(B) = 0.8
So, we have
P(B) = 0.2/0.8
Evaluate
P(B) = 0.25
Hence, the probability of B is 0.25
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Juliet has a choice between receiving a monthly salary of $1900 from a company or a base salary of $1800 and a 5% commission on the amount of furniture she sells during the month. For what amount of sales will the two choices be equal?
Juliet will earn the same amount of money whether she chooses a monthly salary of $1900 from the company or a base salary of $1800 plus a 5% commission on furniture sales if her sales amount to $2000.
To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:
1800 + 0.05x = 1900
where x is the amount of furniture sales in dollars.
Simplifying and solving for x, we get:
0.05x = 100
x = 2000
If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.
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Ralphie's dad has a nutritionist who instructed him to consume less than 2,126 calories per day. He has already eaten 1,586 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?
A.
66x < 2,126
B.
66x < 1,586
C.
66x + 1,586 < 2,126
D.
66x - 1,586 < 2,126
The inequality that could be used to solve for x, is: (C) 66x + 1,586 < 2,126.
How to Write Inequalities?We can write the inequalities as explained below:
Start by subtracting the number of calories Ralphie's dad has already consumed from his daily allotment to find the maximum number of calories he can consume from the fruit bars:
2,126 - 1,586 = 540
Then, we can divide this maximum number of calories by the number of calories per fruit bar to find the maximum number of fruit bars he can eat:
540 ÷ 66 = 8.18 (rounded to two decimal places)
Since Ralphie's dad cannot eat a fractional part of a fruit bar, the largest integer value less than or equal to 8.18 is 8. Therefore, Ralphie's dad can eat up to 8 fruit bars without going over his calorie allotment.
To express this algebraically, let x be the number of fruit bars Ralphie's dad can eat. Each fruit bar contains 66 calories, so the total number of calories consumed from the fruit bars is 66x. Adding this to the number of calories he has already consumed, we get:
1,586 + 66x
This expression must be less than or equal to 2,126, the maximum number of calories Ralphie's dad can consume in a day. Therefore, the correct inequality is:
1,586 + 66x ≤ 2,126
which is equivalent to:
66x + 1,586 ≤ 2,126
Therefore, the correct answer is (C) 66x + 1,586 < 2,126.
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-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
Two trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?
Answer:
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time =
Time =
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
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Step-by-step explanation:
POSSIBLE POINTS: 10
Find the area of the composite figure below. Area of Triangle = bh, Area of Rectangle = lb Use Pythagorean formula to find the length () of the
Rectangle.
7 mm
10.4 mm
15.3 mm
The total surface area of the composite figure is: 288.62 mm²
What is the area of the composite figure?From the attached image, we can see that the composite figure is made up of 2 triangles and one rectangle. Thus:
Formula for area of rectangle is:
A = Length * Width
Formula for area of triangle is:
A = ¹/₂ * base * height
Using Pythagoras theorem, length of rectangle is:
L = √(10.4² + 15.3²)
L = 18.5 mm
Thus:
TSA = (18.5 * 7) + 2(¹/₂ * 15.3 * 10.4)
TSA = 129.5 + 159.12
TSA = 288.62 mm²
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During each week of piano lessons, William learns to play 2 new pieces. Write an equation that shows the relationship between the weeks of lessons x and the total number of pieces learned y.
Answer:
William can find how many piano pieces he has learned by using the equation y = 2x.
Step-by-step explanation:
We are given that William learns two piano pieces per week.
We are tasked with finding the equation that represents this relationship (the number of weeks that William has received piano lessons and the total number of piano pieces that William has learned).
The number of weeks that William has attended piano lessons is represented by the variable x.The total number of piano pieces that William has learned is represented by the variable y.Therefore, take for example that William has been taking piano lessons for four months. This would roughly equate to sixteen weeks.
\(x=16\)After analyzing this, we know that he learns two pieces a week. So, we can multiply our number of weeks by two in order to receive the total amount of pieces learned.
\(x \times 2\)Finally, we need to set this equal to the total number of pieces learned, or our previously defined variable y.
\(y=x\times 2\)In mathematics, we want to simplify everything as much as possible. There is a statement that if a constant and a variable are to be multiplied, we can remove the multiplication symbol and place the constant and the variable together.
\(y=2x\)Therefore, our equation is \(\bold{y = 2x}\).
volume of a sphere = ³, where ris 3 ㅠ the radius. Titanium has a density of 4.506 g/cm³. How many kilograms would a sphere of titanium with a radius of 11 cm weigh? Give your answer to 1 d.p.
After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
what is radius?In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.
The formula for the volume of a sphere of radius "r" is:
V = (4/3)πr³
Substituting the specified radius value (r = 11 cm), we get:
V = (4/3)π(11)³ \sV = 5575.279 cm³
Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:
Density = Volume Weight
Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3
When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:
The weight is 25.121811974 kg.
As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
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Find the critical z value for a confidence level of 85%. (round answer to 2 decimal places)
. I want to know what Z-table to use and how to read it because it get me confused in reading the z table to answer this type of question
Using a z-table for the value, the critical z-value for a confidence level of 85% is; ±1.439.
How to find the critical z-value?The critical value of a distribution is defined as the value beyond which the rejection region lies.
Now, for a confidence interval , the rejection region lies beyond two values, the positive and the negative critical value.
We are given that the confidence level is 85%.
Thus, the computation of the critical value of z for 85% confidence level is expressed as follows;
±z_α/2 = ±z_0.15/2
This is simplified to get;
±z_0.075 = ±1.439
That value is concluded to be the critical z-value at the given confidence level.
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Solve each triangle using LAW OF SINES. Please do number 13 and 15
The value of the dimensions of the triangle using law of sines are angle C = 29.03 degrees, angle B = 58.97 degrees, and side b = 30.009 yd.
What is law of sines?A triangle's sides and angles are related by the Law of Sines, a trigonometric formula. For every triangle with sides a, b, and c and opposing angles A, B, and C, it says that:
The equation sin A/a = sin B/b = sin C/c
In other words, for all three angles, the ratio of the sine of each angle to its opposite side is the same. When part of the sides and angles of a triangle are known, this formula can be used to find the unknown sides or angles.
The law of sines gives the ratio of the side length to the opposite angle.
Thus, using the given triangle we have:
Sin A / a = Sin C /c
Sin 92 / 35 = Sin C / 17
Sin C = 17 Sin 92 / 35
C = arcsin (17 Sin 92 / 35)
C = 29.03
Using the sum of angle of triangle we have:
A + B+ C = 180
92 + B + 29.03 = 180
B = 58.97
Now,
Sin A / a = Sin B / b
Sin 92 / 35 = Sin (58.97) / b
b = sin (58.97) (35) / sin 92
b = 30 .009
Hence, the value of the dimensions of the triangle are angle C = 29.03 degrees, angle B = 58.97 degrees, and side b = 30.009 yd.
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Two students start a club the first week of school. Each member invites three new members the second week of school. Each of these new members then invites three additional members the following week. If the pattern of each new member inviting three new members each week continues, how many members will be in the club after five weeks?
80 students
121 students
242 students
363 students
In linear equation ,242 total number of members within 5 weeks.
What is linear equation ?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."a manual computation on how 1 member recruits his members until week 5. Then multiply the sum by 2.
old new
1: 1
2: 1 x 3 = 3 ⇒ 1 3 *only new members recruit 3 more
3: 3 x 3 = 9 ⇒ 4 9
4: 9 x 3 = 27⇒ 13 27
5: 27 x 3 = 81 ⇒ 40 81
40 + 81 = 121. Total number of members under 1 founding member.
121 x 2 founding members = 242 total number of members within 5 weeks.
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Answer: Option C
Step-by-step explanation:
What is the Square root of 3664?
Answer:
60.5
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ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??
Answer:
Last answer.
Step-by-step explanation:
0.1098 round to nearest hundredth
Express each set using the roster method
A. The set of natural odd numbers greater than 2, but less than 11
B. {x|x€N and 4
The elements using rooster-method:
A){3,4,5,6,7,8,9,10}
B){5,6,7,8,9,10,11,12,13,14}
What is rooster-method?
By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.
A)Set of natural odd numbers greater than 2 but less than 11:
Let us represent the set using symbol O:
O = {3,4,5,6,7,8,9,10}
B){x| x∈ N and 4<x<15}
Given that x is a natural number greater than 4 but less than 15.
X={5,6,7,8,9,10,11,12,13,14}
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$10.40 to $13.12 is simplify your answer
The required simplified value of $10.40 to $13.12 is $2.72.
Given that,
To determine the simplified value of $10.40 to $13.12.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
In the question, asked about the difference between the numbers
$10.40 to $13.12
= 13.12 - 10.40
= $2.72
Thus, the required simplified value of $10.40 to $13.12 is $2.72.
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can someone answer this i’ll give u a cookie PLEASE I NEED IT NOW
Answer:
its c
Step-by-step explanation:
The volume of a rectangular prism is the products it’s dimensions. If the dimensions of a rectangle prism are approximately 1.08 feet,5.25 feet, and 3.3 feet ,what is the approximate volume of the cube?Express your answer using an approximate level of accuracy.
Answer:
To find the volume of this cube, you would have to multiply 1.08 by 5.25 by 3.3 feet. If you did this, you would get: 18.711 feet^3. This is the volume of the rectangular prism.
Hope this helped!
Solve for x. Round to the nearest hundredth.
A. 0.02
B. 25.17
C. 0.03
B. 12.27
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(64) = x/28
x/28 = cos(64)
x = 28*cos(64)
x = 12.2743921100941
x = 12.27
Last week Lisa ran 34 miles. less than
Shanice. Lisa ran 8 miles.. How many
miles did Shanice run?
Answer:
Shanice ran 42 miles.
Step-by-step explanation:
1/2, 2/3, 1/4, 5/6 order from least to greatest
v=vo+at;find a if v = 20, vo = 30, t =5.
Answer:
-2 = a
Step-by-step explanation:
v = vo + at
20 = 30 + a5
now get the numbers and the variable on different sides
30 + a5 - 30 = a5
20 - 30 = -10
-10 = a5
now im going to divide each side by 5
a5 / 5 = a
-10 / 5 = -2
-2 = a
Step-by-step explanation:
\(V = V _{0} + at \\ 20 = 30 + a \times 5 \\ 5a = 20 - 30 \\ 5a = - 10 \\ \\ a = - \frac{10}{5} \\ \\ a = - 2\)
Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. Stocks pay 6.7 % interest, bonds pay 2.5 % interest, and CDs pay 5.75 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 6977.5 , how much was invested in each account?
Maricopa Success invested $ in stocks.
Maricopa Success invested $ in bonds.
Maricopa Success invested $ in CDs.
Answer:
stocks: $45000bonds: $55000CDs: $45000Step-by-step explanation:
You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.
SetupWe can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...
s + b + c = 145000b - c = 100000.067s +0.025b +0.0575c = 6977.50SolutionThese equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.
We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...
stocks: $45000bonds: $55000CDs: $45000__
Additional comment
Using b = c +10000, the two remaining equations are ...
s +2c = 1350000.067s +0.0825c = 6727.50<95141404393>
Here are the numbers of times 9 people ate out last month.
3, 4, 3, 3, 7, 5, 5, 7, 7
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answer:
3, 7
Step-by-step explanation:
I remember "Hey diddle diddle the medians the middle, you add then divide for the mean, the mode is the one that appears the most and range is the difference between!