The unit rate is 7000 steps for every hour used.
How to calculate the unit rate?Rate demonstrates how many times one number can fit into another number. It two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B). This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.
In this case, the unit rate will be calculated thus:
= Number of steps / Number of hours
= 8750 / 1.25
= 7000
The rate is 7000 steps per hour.
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what is the probability of drawing a two or three from a deck of 52 cards.
one half to the eight power in fraction form
Answer:
1/16
Step-by-step explanation:
one half raised to the power of to eight = one sixteen
if you could help that would be greatly appreciated
Answer: search
Step-by-step explanation: look up the question on your browser and the answer will pop up
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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You and your friend's choice to take a bus back home, each 2 miles you have to pay 60 cents, write this in an Equation
Answer:
Step-by-step explanation:
Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.
What is the equation to this graph using Y=MX+B. Show Work.
Answer:
y = 2x + 9
Step-by-step explanation:
Y = mx + b indicates slope-intercept equation.
"b" represents y -intercept/beginning.
"mx" represent slope/constant of variation/rate of change
x-intercept represents the end of the graph. (in stories using money its the ending amount).
The y-intercept is always when the x-value is 0. The point of the y-intercept is on the y-axis. The line on the graph starts at the point (0,9). It can be located on the point right above the number labeled under the 9 which is 8. Since the x-value is 0,
The y-intercept is 9.
To find the slope, we have to find two points on the graph to use.
Two points on the graph are:
(1.5, 13) , (2, 14)
Using the slope formula:
y2-y1/x2-x1
Plug in:
14-13/2-1.5
Complete:
1/0.5
divide:
The numbers in 1 divided by 1/2 are labeled below:
1 = whole number
1 = numerator
2 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
1 x 2/1 = 2/1
Thus, the answer to 1 divided by 1/2 in fraction form is:
2/1
To make the answer to 1 divided by 1/2 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
2 / 1 = 2
The answer is rounded to the nearest two decimal points if necessary.
2/1 is an improper fraction and should be written as 2.
So now that we have the y-intercept and slope:
Y-intercept: 9
Slope: 2
Equation: y = 2x + 9
Terms: Linear Equations 8th Grade
Javier bought a painting for
$
150
$150dollar sign, 150. Each year, the painting's value increases by a factor of
1.15
1.151, point, 15.
Which expression gives the painting's value after
7
77 years?
Choose 1 answer:
Choose 1 answer:
(Choice A)
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
A
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
(Choice B)
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
B
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
(Choice C)
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
C
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
(Choice D)
150
+
1.15
⋅
7
150+1.15⋅7150, plus, 1, point, 15, dot, 7
D
150
+
1.15
⋅
7
150+1.15⋅7
The correct expression is \($(150 \cdot 1.15)^7$\) (Choice A).
The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).
To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.
If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.
Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.
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What is the value of x in the triangle?
I need help pls :)
Answer:
17
Step-by-step explanation:
using Pythagorus theroem, you do (√514)² - 15².
This gives you 289 which you then need to square root, giving you 17
Determine whether descriptive or inferential statistics were used in the statement. in 2008, the average credit card debt for college students was $3173. (source: newser)
The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.
Descriptive statistics were used in the statement.
Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).
In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.
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Descriptive statistics were used in the statement.
What is descriptive statistics?Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.
Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.
Hence, Descriptive statistics were used in the statement.
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Solve the following equations using any method. Show your work. Eind the exact solution. Write
the solutions in simplest form.
5. x² + 4x = 3
The equation is solved to a simplified form as x = -4 ±√14
How to solve the expression
From the information given, we have that the quadratic equation is given as;
x² + 4x = 3
collect the like terms
x² + 4x - 3 = 0
Using the quadratic formula, we have
x = -b±√b² - 4ac/2a
From the equation;
ax + bx + c = 0
a = 1
b = 4
c = -3
Substitute the values
x = -4 ± √(4)² - 4(1)(-3)/2(1)
expand the bracket, we get;
x = -4 ± √16 + 12/2
Add the values
x = -4 ± √28/2
Divide the values
x = -4 ±√14
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The average human heart beats 75 times every minute. The average horse has a heartbeat of 40 times every minute. How many times does a human heart beat in an hour? Which answer choice correctly identifies the extraneous information in this word problem?
Answer:
4500
Step-by-step explanation:
multiply the amount of times the heart beats every minute and multiply it by how many minutes which is 60 so 75 times 60 is 4500
Answer:
c
Step-by-step explanation:
i got it right =)
16 OT 26
Find the surface area of the composite figure.
2 cm
5 cm
4 cm
4 cm
3 cm
3 cm
5 cm
5 cm
SA
[?] cm²
Enter
Answer:
\(Total = 166cm^2\)
Step-by-step explanation:
Given
See attachment
Required
Determine the surface area
The figure is made up of two cuboids and the surface area of a cuboid is:
\(Area = 2LB + 2LH + 2BH\)
Because the bottom part of the upper piece is not visible, the area is calculated as:
\(Area = 2LB + 2LH + BH\)
This gives:
\(Area = 2 * 5*4 + 2 * 4 * 2 + 5 * 2\)
\(Area = 66\)
For the bottom piece:
We calculate its area as \(Area = 2LB + 2LH + 2BH\). However, the area of the invisible part will be subtracted.
So, we have:
\(Area = 2*3*5 + 2*3*5 + 2*5*5 - 2*5\)
\(Area = 100\)
The total surface area is:
\(Total = 66 + 100\)
\(Total = 166cm^2\)
I chop 1 5/6 onions in 2 3/8 minutes. How many onions do I chop in one minute?
Hey there!
\( \rightarrow \boxed {\sf\{1 \frac{5}{6}} \: = 1.83 \)
\( \rightarrow \boxed {\sf{2 \frac{3}{8}}} \: = 2.375\)
Divide 1.83 by 2.375
\( \rightarrow \boxed{ \sf \{1.83 \div 2.375}\)
\( \rightarrow \: 0.770526315789473 \\ \approx \: 0.77\)
Multiply 0.77 by 1
⇒ 0.77 × 1
⇒ 0.77
Convert into fraction
\( \rightarrow \: 0.77 = \frac{77}{100} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\ \: \rightarrow \frac{0.77}{1} \times \frac{100}{100} \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
\( \rightarrow \: = \frac{77}{100} \)
If b < 0 and a/b > c/b, then what is the relationship between a and c?
Answer:
a < cStep-by-step explanation:
Given inequality:
a/b > c/bSince b is negative, when multiplied by b, the inequality changes to opposite direction:
b(a/b) < b(c/b)a < c
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
The graph of a linear function is shown on the coordinate grid. What is the slope of the graph of this function in decimal form?
The slope of the graph of this linear function is -1/2 in decimal form.
What is slope?
The formula to find the slope between 2 coordinates of a line is given by;
m = (y₂ - y₁)/(x₂ - x₁)
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (6, 1) and (x2, y2) = (-6, -5)
slope = (-5 - 1) / (-6 - 6)
slope = -6/12
slope = -1/2
Therefore, the slope of the graph of this linear function is -1/2 in decimal form.
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1. What is the measure of ∠BCD?
2. What is the
measure of AC⏜
?
Answer:
∠BCD= 23
AC⏜= 95
Step-by-step explanation:
Brainliest please
The measure of ∠BCD is 62 degree.
The measure of arc AC is 75 degree.
What is Arc?A circle's arc is referred to as a portion or section of its circumference. A chord of a circle is a straight line that might be created by joining the arc's two ends. A semicircular arc is one whose length is exactly half that of a circle.
We have to use the formula to find the angles
m <C = ( Far arc - Near arc ) / 2
So, m <C = (147 - 23) / 2
m <C = 124/ 2
m<C = 62
Again, m <B = (Arc AD - Arc AC) / 2
95 = (55x - 17x )/2
190 = 38x
x= 190/ 38
x = 5
So, the measure of arc AC is 17x = 17(5)= 75
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A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?
Answer:
672 sq cm
Step-by-step explanation:
Each triangular base is 1/2 (12 * 8) or 48, making them = 96.
One of the sides is 12 x 18 = 216
The other 2 sides are 10 x 18 = 180 x 2 = 360
Add them all together to get 672 sq cm
(2x^5-15x^3-9x^2+11x+12)/(x+2)
No long devisin it has to be synthetic devesion
Quotient : 2x⁴ - 4x³ - 7x² + 5x + 1
Remainder : 10
Figure B is a scaled copy of Figure
What is the scale factor from A figure to Figure B
Plz help
Answer:
Correct option is
A
Step-by-step explanation:
Please Try To Answer as Quickly as You Can!
A biker’s speed is 1.5 times faster than a walker’s speed. They start moving simultaneously in the same direction from the same point and, after 1.5 hours, the distance between them is 12.5 miles. What are their speeds?
Answer:
The walker's speed = 16 + 2/3 mph and the biker's speed = 25 mph
Step-by-step explanation:
Answer:
Walkers speed: 16.6666667
Bikers speed: 25 mph
Step-by-step explanation:
Find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis. ||u||= 4, θu =6 , ||v|| = 1, θv = 4
The component of u+v along the length of u and v is (6.3, 0.66).
A vector is quantity which has both magnitude and direction. A magnitude is the length of the vector.
Here in the question u and v makes angle with the positive x axis.
||u||= 4 and θu =6 and ||v|| = 1, θv = 4
To determine the component of u = |u||(cosu, sinu)
Component of u = 6(0.9, 0.1) = (5.4, 0.6)
Component of v = ||v||(cosv sinv)
Component of v along the x axis = 1(0.9, 0.06 ) = (0.9, 0.06)
In the question value of u+v needs to be find.
Value of u + v = (5.4 + 0.9 , 0.6+ 0.06)
Value of the component form of u + v = (6.3, 0.66).
Hence, the component of u+v along the length of u and v is (6.3, 0.66).
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What is the volume of the object?
Two rectangular prisms are side by side. The dimensions of the larger rectangular prism are 8 c-m, 6 c-m, and 13 c-m and the dimensions of the smaller rectangular prism are 3 c-m, 4 c-m, and 7 c-m.
A
41cm3
B
526cm3
C
708cm3
D
52,416cm3
The total volume is the one in option C, 708 cubic centimeters.
What is the volume of the object?We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.
Then the volume of the first prism is:
V = 8cm*6cm*13cm = 624 cm³
And the volume of the second prism is:
v' = 3cm*4cm*7cm = 84 cm³
Adding that we will get:
total volume = 624 cm³+ 84 cm³ = 708 cm³
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6th grade math ! Help me please :))
Answer to the perimeter
2 x (5 + 13)
Answer:
2 x (5+13)
Step-by-step explanation:
To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.
PYTHAGORAS
work out the side of b.
give your answers to one decimal place
Answer:
12 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
a = 12 cm
c = 17 cm
Step 2: Solve for b
Substitute in variables [Pythagorean Theorem]: 12² + b² = 17²Evaluate exponents: 144 + b² = 289[Subtraction Property of Equality] Subtract 144 on both sides: b² = 145[Equality Property] Square root both sides: b = √145[√Radical] Evaluate: b = 12.0416Round: b ≈ 12.0What is the approximate value of θ if tan θ = 7/9
Answer:
37.9°-----------------------
Taking the inverse tangent (arctan) of the given ratio 7/9.
Use a calculator or trigonometric table to find:
θ ≈ arctan(7/9)The approximate value of θ is 37.9°.
If there are initially 5000 bacteria in a culture, and the number of bacteria triple each hour, the number of bacteria after t hours can be found using the formula y = 5000(3)^t. How long will it take the culture to grow to 80,000? Round to the nearest tenths.
Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria
The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.
This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000
Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.
However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4
Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.
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help please ill give you brainliest !! and show work please
find the length of SEGMENT BC
Answer:
BC = 4
Step-by-step explanation:
The diagram shows a circle with radius AE and chord BD.
Assuming that the radius bisects the chord, then AE is perpendicular to BD. So the measure of angle ACB is 90°.
This means that triangle ACB is a right triangle, with legs AC and BC, and hypotenuse AB.
The length of the radius is:
\(AE = 3 + 2 = 5\)
As AB is also the radius, AB = 5.
To find the length of BC, use Pythagoras Theorem:
\(AC^2+BC^2=AB^2\)
\(3^2+BC^2=5^2\)
\(9+BC^2=25\)
\(9+BC^2-9=25-9\)
\(BC^2=16\)
\(\sqrt{BC^2}=\sqrt{16}\)
\(BC=4\)
Therefore, the length of line segment BC is 4.
She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
5 kilometers between two locations, how many centimeters on the map is it?
Answer:
5 Km = 5000 meters, so 5000m/ 200m (scale factor)= 25 cm
Step-by-step explanation: