Step-by-step explanation:
901034
=9.01034 × 10⁵
hope it helps
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. 9.01034 × 10 ^5
Step-by-step explanation:
Mr Tan arranges some pupils equally into 7 groups.
There are 38 pupils in each group.
How many pupils are there altogether?
Answer 266 pupils
Step-by-step explanation: multiply 38 and 7
Hector is training for a race that is 10 kilometers long. On Saturday he ran 2.5 km. He plans to add 0.5 km to his distance every Saturday. Hector tracks his progress by adding 0.5 every week. 2.5 + 0.5 = 3.0 3.0 + 0.5 = 3.5 ⋮ 9.5 + 0.5 = 10 Which equations are equivalent to his weekly addition of 0.5 km and would correctly determine how many weeks it will take Hector to reach 10 km if he starts at 2.5 km and adds 0.5 km every week? Select all that apply. 0.5x + 2.5 = 10 0.5 – 2.5 = 10x 10 = 2.5 + 0.5x 2.5x + 0.5 = 10 2.5x – 0.5 = 10
Answer:0.5x + 2.5 = 10
and
10 = 2.5 + 0.5x
Step-by-step explanation:hope this helps :)
Answer:
0.5x = 2.5 = 10 10 = 2.5 = 0.5x
Step-by-step explanation:
The cost to produce a product is modeled by the function f(x) = 2x2 − 12x + 24, where x is the number of products produced. Complete the square to determine the minimum cost of producing this product.
Answer:
Step-by-step explanation:
f(x) = 2x2 − 12x + 24
= 2(x^2 - 6x) + 24
= 2[(x - 3)^2 - 9) + 24
= 2(x - 3)^2 - 18 + 24
= 2(x - 3)^2 + 6
- so the minimum cost is 6
i have some work that i need to get done
Answer:
B
Step-by-step explanation:
Fractions which may appear different but which have the same value are called (B) equivalent fractions.
Talk about why you think it is sometimes important to represent a procedure mathematcally. Give an example in life that a mathematcal procedure helped you solve a problem. In this procedure, what is independent quanity, what is dependent quanity?
Answer:
See Explanation
Step-by-step explanation:
Representing a procedure mathematically enables us to model life situations, solve for the unknown variables, and interpret back into the given situation for implementation.
A typical example is determining the gallons of gasoline a car would consume at a certain speed.
In this example, the independent variable is the driving speed, and the dependent variable is the gasoline consumption.
Gasoline consumption will either increase or decrease based on the speed of the car. The speed of the car is not affected by gasoline consumption.
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
Given the set S = {a, b, c, d}, answer the following.
(a) How many one-element subsets does S have?
(b) How many two-element subsets does S have?
(c) How many three-element subsets does S have?
(d) How many four-element subsets does S have?
(e) How many zero-element subsets does S have?
(f) How many subsets does S have?
(g) If
n(S) = k,
how many subsets will S have?
Answer:
Step-by-step explanation:
The distribution of the number of occurrences of the letter T on the pages a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18 there are 500 pages in the book, which sentence most closely summarizes the data?
C. The letter t occurs more than 26 times on approximately 420 of these pages.
One standard deviation below the mean1 standard deviation below mean = M - SD
= 44 - 18 = 26
This implies that that "26" is 1 s.d. below the mean, which is at the 16th percentile.
Thus, there is a 0.16 chance that "t" will occur less than 26 times on any single page.
consequently, there is a 0.84 chance that it will occur more than 26 times on any single page.
From the above information: 16% of 500 is 80, and 84% of 500 is 420.
Hence, option C is the correct answer.
The complete question is below:
A. The letter t occurs less than 26 times on approximately 170 of these pages.
B. The letter t occurs less than 26 times on approximately 15 of these pages.
C. The letter t occurs more than 26 times on approximately 420 of these pages.
D. The letter t occurs more than 26 times on approximately 80 of these pages.
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If RX = 4 and XS = 9, then XT =
let's say Rubik's cube club has developed a carnival game at Festivus. They are charging $2 per ticket to play. The expected pay out for each play is $2.50. Should the club modify the game? explain the reasoning
They are charging $2 per ticket to play, however the expected pay out for each play is $2.50. This doesn't make any sense, if they expected to earn $2.50 they should charge at least $2.50 per ticket to play.
C(x) = 2.50x
Where:
x = Number of tickets
C(x) = Total cost
Function c
is defined by the equation c(n)=50+4n
. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n
.
True or False? The inverse function is as follows:
n=(c(n) − 50)×4
Responses
Answer:
False
Step-by-step explanation:
1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4
The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give V=253.5 in^3 when T=390 degrees and P= 20 lb/in^2. What is the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2?
(Scroll Down for Answer!)
the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2 is V = 253.5 * (400/390) * (20/10) = 263.0 in^3
V = 253.5 * (T/390) * (20/P)
V = 253.5 * (400/390) * (20/10)
V = 263.0 in^3
The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. Knowing this, we can calculate the volume for any given temperature and pressure by using the formula V = 253.5 * (T/390) * (20/P). In this problem, the device was calibrated to give V=253.5 in^3 when T=390 degrees and P= 20 lb/in^2. To find the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2, we plug these values into the formula, which gives us V = 253.5 * (400/390) * (20/10) = 263.0 in^3.
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Will give brainliest to the smartest answers
Find the value of z.
800
1930
1120
2
z = [? ]°
Answer:
Z is 87
Step-by-step explanation:
X+ 112 is the intercepted Arc of Angle 93- the arc measure is 2*93= 186
the intercepted arc of angle z is 360- 186= 174
half the arc measure of Z is the measure of angle Z 174/2= 87
place the divers in order from least to greatest based on the of liters left in their oxygen tank
The divers in order from least to greatest based on the number of liters left in their oxygen tank is: D. Dante, Sofia, Alexis.
What is a numerical data?A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.
Next, we would convert each of the volume of oxygen (in liters) that is written in words to a numerical data as follows:
Seventy nine eighths = 79/8 = 9.875.
Nine and eight fifteenths = 9 8/15 = 9.533.
Now, we can arrange the divers in order from least to greatest based on the number of liters left in their oxygen tank:
Dante = 9.3 liters.Sofia = 9.533 liters.Alexis = 9.875 liters.In conclusion, we can infer and logically deduce that the divers in order from least to greatest based on the number of liters left in their oxygen tank is Dante, Sofia, Alexis.
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Complete Question:
Three divers went scuba diving in the ocean for a couple of hours. The table shows how much oxygen they had left in their oxygen tanks.
Diver Oxygen (liters)
Alexis seventy nine eighths
Dante 9.3
Sofia nine and eight fifteenths
Place the divers in order from least to greatest based on the number of liters left in their oxygen tank.
A. Sofia, Dante, Alexis
B. Alexis, Sofia, Dante
C. Dante, Alexis, Sofia
D. Dante, Sofia, Alexis
Answer: Sofia, Alexis Dante
Step-by-step explanation: Did the test and got all the other choices wrong. It's D.
the length of a rectangle is equal to triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 86 centimeters
Answer This Quick As Possible
NAFTA was important to North America countries because it ________. A. Broke down trade barriers
B. established a military alliance
C. Promoted alternative energy sources
D Provided free healthcare for all people
Please give me the right answer for 33 points.
Answer:
A. broke down trade barriers
whats the equation of a line that passes through point (-1,3) with slope of 1
The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.
Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:
y - 3 = 1(x - (-1))
Simplifying:
y - 3 = x + 1
Now, we can rewrite the equation in the standard form:
y = x + 4
Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
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What is the answer to the question??
Answer:you need to show the diagram in order for me to
Step-by-step explanation:
Will mark brainliest on this answer!
Answer:
\(\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}\)\(\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)\)Step-by-step explanation:
Given the two points
(-3, 10)(7, 15)Determining the distance between the points
\(\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)
\(\mathrm{The\:distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)\mathrm{\:is\:}\)
\(=\sqrt{\left(7-\left(-3\right)\right)^2+\left(15-10\right)^2}\)
\(=\sqrt{\left(7+3\right)^2+\left(15-10\right)^2}\)
\(=\sqrt{10^2+5^2}\)
\(=\sqrt{100+25}\)
\(=\sqrt{125}\)
\(=\sqrt{5^3}\)
\(=\sqrt{5^2\cdot \:5}\)
\(=5\sqrt{5}\)
Therefore,
\(\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}\)
Determining the midpoints between the points
Given the two points
(-3, 10)(7, 15)\(\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\)
\(\left(x_1,\:y_1\right)=\left(-3,\:10\right),\:\left(x_2,\:y_2\right)=\left(7,\:15\right)\)
\(=\left(\frac{7-3}{2},\:\frac{15+10}{2}\right)\)
\(=\left(2,\:\frac{25}{2}\right)\)
Therefore,
\(\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)\)
w+70 = 1
---------
5
Answer:
69?
Step-by-step explanation:
What is the order of the following numbers from LEAST to GREATEST?
Answer:
It is the first answer
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Which of the following points lie on a line that passes through the origin with a slope of −25? Select all that apply. Multiple select question. cross out A) (0, 0) cross out B) (1, −25) cross out C) (−2, 5) cross out D) (−1, 25) cross out E) (4, 10) cross out F) (−5, 2)
The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).
What is the general equation of a straight line?The general equation of a straight line is : y = mx + c.
[m] is called slope and it tells the unit rate of change in [y] with respect to [x].
[c] is called the [y] - intercept.
We have some points that lie on a line that passes through the origin with a slope of −25.
The equation of a straight line that passes through the origin and has slope of -25 will be -
y = - 25x
The points that will lie on the line will be -
(0, 0) , (1, - 25) , (- 1, 25)
Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).
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The volume of a sphere is 4500cm. What is the surface area of the sphere to the nearest whole number?
The surface area of the sphere, to the nearest whole number, is 1318 cm².
How to determine the surface area of a sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
The surface area of a sphere is expressed as:
SA = 4πr²
Where r is the radius of the sphere and π is the mathematical constant pi.
Given that the volume V is 4500 cm³.
First, we solve for the radius:
Volume = (4/3)πr³
4500 = (4/3)πr³
4500 × 3 = 4πr³
13500 = 4πr³
r³ = 13500/4π
r = ∛( 13500/4π )
Now that we have the radius, we can calculate the surface area of the sphere using the formula:
SA = 4πr²
Substituting the radius we found:
SA = 4 × π × ∛( 13500/4π )²
SA = 1318 cm²
Therefore, the surface area is approximately 1318 cm².
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The Smith’s and the Jones are neighbors. They both have a tax rate of 28.5 mills. The Smith’s house is assessed at $80,000. The Jones’ house is assessed at $67,000. How much more do the Smith’s pay in property tax?
Given
Tax rate = 28.5 mills
Smith's house is accessed at $80,000
Jones's house is accessed at $67,000
Property taxes are calculated by multiplying the assessed, taxable property value by the mill rate and then dividing that sum by 1,000.
The formula is given by:
\(Property\text{ tax levied on property = }\frac{mill\text{ rate }\times taxable\text{ property value}}{1000}\)Property tax for the Smith's:
\(\begin{gathered} =\text{ }\frac{28.5\text{ }\times\text{ 80000}}{1000} \\ =\text{ 2280} \end{gathered}\)Property tax for the Jones':
\(\begin{gathered} =\frac{28.5\text{ }\times\text{ 67000}}{1000} \\ =\text{ 1909.5} \end{gathered}\)The extra amount the Smith's pay is the difference in the tax levied on Smith and Jones:
\(\begin{gathered} =\text{ 2280 - 1909.5} \\ =\text{ 370.5} \end{gathered}\)Hence, the Smith's pay $370.5 more than the Jones'
please help! I'm almost out of time on my assignment
Title: ....Home Lork Date: 6/02/2025. 42 students in a class took a test in Science and English. 13 students took both subjects and students did not pass in any of the two subjects. Those who took Science is 7 less than thos who took only English. Work 1.5 (a) Illustrate the information on a Venn diagram. (b) Find the number of students who passed: (ii) English; (i) Science; Solution Let u 1.(u). universal set 4.2. .... .4/1.2 (iii) exactly one subject. Correction
(a) To illustrate the information on a Venn diagram:
Draw two circles, one for Science and one for English.Label the circles with the names of the subjects.Calculate the number of students who took both Science and English (13 students).Label the overlapping region of the two circles with the number of students who took both subjects (13).Calculate the number of students who took only Science (7 less than those who took only English).Label the region outside the overlapping region and inside the Science circle with the number of students who took only Science.Calculate the number of students who took only English.Label the region outside the overlapping region and inside the English circle with the number of students who took only English.Calculate the total number of students in the class (42).Label the area outside both circles as the universal set, and write the total number of students in the class (42).What is a Venn Diagram?A Venn diagram is a graphical representation of the relationship between sets of items
This Venn diagram will visually represent the information given in the question and help to answer the questions about the number of students who passed each subject and the number of students who passed exactly one subject.
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In a country, 31 % of the people that voted for candidate AA are women. Moreover, 10% of the population are women and voted for A. What is the percentage of people that voted for candidate AA?
This question is incomplete, the complete question is;
In a country, 31 % of the people that voted for candidate AA are women. Moreover, 10% of the population are women and voted for AA. What is the percentage of people that voted for candidate AA?
Answer:
the percentage of people that voted for candidate AA is 32.3%
Step-by-step explanation:
Given that;
31 % of the people that voted for candidate A are women
P( women/Candidate AA) = 0.31
Moreover, 10% of the population are women and voted for AA
P( women & candidate AA) = 0.10
so
p( Candidate AA) = P( women & candidate AA) / P( women/Candidate AA)
p( Candidate AA) = 0.10 / 0.31
p( Candidate AA) = 0.323
p( Candidate AA) = 32.3%
Therefore the percentage of people that voted for candidate AA is 32.3%
Correct answer gets brainliest
Answer:
D. its a two dimensional object
Answer:
A. It is a polygon
C. It is a one-dimensional object
The shape is a polygon in two dimensions since a polygon must have at least three straight sides.
I need help with this question
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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Ruby is 6, Edward is 8, Claire is 9, David is 14 and Emma is 15. They are given birthday money in the ratio of their ages. In total they receive £156. How much do they each receive?
Answer:
Ruby: £18
Edward: £24
Claire: £27
David: £42
Emma: £45
Step-by-step explanation:
6 + 8 + 9 + 14 + 15 = 52
Each one receives the following fraction of the total:
Ruby: 6/52
Edward: 8/52
Claire: 9/52
David: 14/52
Emma: 15/52
Ruby: 6/52 × £156 = £18
Edward: 8/52 × £156 = £24
Claire: 9/52 × £156 = £27
David: 14/52 × £156 = £42
Emma: 15/52 × £156 = £45
Answer:
Ruby: £18
Edward: £24
Claire: £27
David: £42
Emma: £45
Answer:
Ruby=18, Edward=24, Charlie=27, David=42, Emma=45
Step-by-step explanation:
sum of ratios is 52
for each one write the ratio over the sum of ratio multiplied by total amount
\(\frac{6}{52} *156\)=18
\(\frac{8}{52} *156\)=24
\(\frac{9}{52} * 156\)=27
\(\frac{14}{52} * 156\)=42
\(\frac{15}{52} * 156\)=45
and to check add all of them and they give 156 pounds