Answer:
10.7%
Step-by-step explanation:
The formula for calculating the percent change in a value between two points in time is:
p
=
N
−
O
O
⋅
100
Where:
p
is the percent change - what we are solving for in this problem.
N
is the New Value - 62 inches in this problem.
O
is the Old Value - 56 inches in this problem.
Substituting and solving for
p
gives:
p
=
62
−
56
56
⋅
100
p
=
6
56
⋅
100
p
=
600
56
p
=
10.7
rounded to the nearest tenth.
Ricardo gres 10.7%
Cooper buys milk and apples at the store. He pays a total of $28.21 He pays a total of $4.61 for the milk. He buys 4 bags of apples that each cost the same amount . Write and solve an equation which can be used to determine x, how much each bag of apples costs
Answer:
28.21 = 4x + 4.61
Step-by-step explanation:
Since x equals the bags of apples and he bought 4 of them, we would multiply x by 4 like this: 4x
$4.61 were already added to the total cost of $28.21
If we wanted to find out how much each bag cost, we subtract 4.61 from both sides
28.21 = 4x + 4.61
- 4.61. - 4.61
23.6 = 4x
Then, divide both sides by 4
23.6/4 = 4x/4
x = 5.9
Each bag of apples cost $5.90
D is the midpoint of EF. Find x.
ED = 6x + 4
DF = 4x + 18
What does X equal?
Answer:
X = 7
Step-by-step explanation:
E___D___F
ED = DF
6x +4 = 4x+18
6x – 4x = 18 – 4
2x = 14
x =14/2
x = 7
I hope I helped you^_^
NO LINKS!!
Water covers 708%, or about 3.61 x 10⁸ km², of the Earth's surface. Approximate the total surface area of the Earth. (Round your answer to the nearest million.)
____________ km²
510,000,000 million km²
Let us represent the total surface area of the earth as = x
We are told in the question that:
Water covers 70.8%, or about 3.61 × 10⁸ km², of the Earth's surface.
70.8% = 0.708
Hence,
0.708 × x = 3.61 × 10⁸
x = 3.61 × 10⁸/0.708
x = 361000000/0.708
x = 509,887,005.65km²
Therefore, the total surface are the earth approximately to the nearest million = 510,000,000 million km²
This is the number "510 million"
=======================================================
Work Shown:
The times 10⁸ means "times 100 million"
3.61 x 10⁸ = 3.61 * 100 million = 361 million
S = surface area of the earth
70.8% of S = water coverage area
70.8% of S = 361 million square km
0.708S = 361 million square km
S = (361/0.708) million square km
S = 509.887 million square km
S = 510 million square km
S = 510,000,000 square km
A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse traveled the same distance each hour. To determine the distance that the mouse traveled each hour, Matt performed the calculations below.
StartFraction 3 Over 24 EndFraction divided by 3 = StartFraction 3 Over (24 divided by 3) EndFraction = StartFraction 3 Over 8 EndFraction
He concluded that the mouse traveled StartFraction 3 Over 8 EndFraction of a mile each hour. What is Matt’s error?
Matt should have multiplied 3/24 by 24 instead of dividing it by 3.
Matt should have multiplied 3/24by 3 instead of dividing it by 3.
Matt should have divided the numerator but not the denominator of 3/24 by 3.
Matt should have divided the numerator and denominator of 3/24 by 3.
The mistake Matt made in calculating the distance the mouse travelled each hour was that Matt should have divided the numerator but not the denominator of 3/24 by 3
How to find the distance the mouse travelledThe distance the mouse travelled per hour is calculated by comparison
If the mouse covers 3/24 miles in in 3 hours then in an hour the mouse will cover
3/24 = 3
? = 1
cross multiplying
3 * ? = 1 * 3/24
? = 3/24 ÷ 3
? = 3/24 * 1/3
? = 1/24
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What's the exact value of tan 15°?
Answer:
D
Step-by-step explanation:
type in my calclater it's
d
Answer:
Option D will be your answer
Step-by-step explanation:
hope it helps you
have a great day
can someone EXPLAIN this to me? you don't have to answer the questions. They are for my college class. Last assignment! thank you..
A man wants to mesure the height of a nearby building. He places a 7ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building’s shadow is 162ft, the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot.
The height of the building is approximately 227 feet.
In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.
The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.
As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.
Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF
On substituting the values from the given data, we get:
AE/(EF + 5.5) = 7/5.5.... (1)
Similarly, we can write from the given data:
BD/DF = 162/5.5.... (2)
From equations (1) and (2), we can write:
AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)
On solving the above equation for AE, we get:
AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft
Therefore, the height of the building is approximately 227 feet.
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What is the measure of m give your answer in the simplest form
Answer:
the correct answer is \(7\sqrt{5}\)
Please help me I have 3 minutes
Answer:
43
Step-by-step explanation:
hope that helps!
Answer:
I think it's A .....................
A dictionary that normally sells for $16.50 is on sale at 60% off? Sales Tax is 8.75%
( round each answer to the nearest cent )
What is the amount of the discount? __________
What is the final price of the dictionary including tax??
Answer:
$7.18
Step-by-step explanation:
16.50 x 0.6 = 9.9 (multiplying by percent to find the total amount off)
16.50 - 9.9 = 6.6 (subtracting the amount of money you would get off from the original price)
6.6 x 0.0875 = 0.58 (rounded) (multiplied by the tax percentage to find how much tax would cost)
6.60 + 0.58 = 7.18 (add the sale price and sales tax)
$7.18 (final answer)
David says the value of 3 in 282.713 is 1/100 the value of 3 in 24.318. Do you agree with David's statement?
Answer:
No
1/1000
Step-by-step explanation:
The place digits is .713.
The seven is the tenths.
The one is the hundredths.
The three is the thousandths.
So the three would be in the thousandths place
In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
True
False
False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
What is exponential decay function?
In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.
It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.
How do you calculate an exponential function?
The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.
The exponential function, which has the form, is a significant mathematical function. f(x) = ax.
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f(x)=x^2. What is g(x)?
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
LOTS OF POINTS plz help due today!!!!!
Answer:
what numbers do you need answering??
Step-by-step explanation:
what is da rate to question
The calculated value of the rate of the graph is 0.8
How to determine the rate of the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(0, -16) and (20, 0)
The rate of the graph is calculated as
Rate = Change in y/x
using the above as a guide, we have the following:
Rate = (0 + 16)/(20 - 0)
Evaluate
Rate = 0.8
Hence, the rate is 0.8
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Below is a square based pyramid. Calculate the length of side I
The slant height of the square base pyramid is calculated as l = 17 using the Pythagoras rule.
What is the Pythagoras ruleThe Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
we can observe the right triangle with hypotenuse l, height = 15, and base = 8 {half the pyramid base of 16}
the slant height is calculated as follows:
l² = 15² + 8²
l² = 225 + 64
l² = 289
l = √289 {take square root of both sides}
l = 17.
Therefore, the slant height of the square base pyramid is calculated as l = 17 using the Pythagoras rule.
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Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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(a+ b)^2 - (a+b) -6Which method is the best method to use for the given expressiona) GCFb) DOPSc) TrinomialSeeing Structure (Substitution method)
Answer:
c) Trinomial Seeing Structure (Substitution method)
Explanation:
The initial expression is
(a + b)² - (a + b) - 6
So, if we replace (a+b) by x, we get:
x² - x - 6
Now, we can factorize it by finding two numbers that multiply to -6 and add to -1. These numbers are -3 and 2, so it is equal to
(x - 3)(x + 2)
Finally, we can replace x = a + b, so
(a + b - 3)(a + b + 2)
The expression x² - x - 6 looks like a trinomial. It means that the best method for the given expression is
c) Trinomial Seeing Structure (substitution method)
Billy has some nickels and dimes worth $3.25. He has 3 times as many nickels as dimes. How many nickels does he have?
\(3d=n\)
\(10d+5n=325\)
\(10d+15d=325\)
\(25d=325\)
\(d=13\)
\(n=39\)
Hope this helps.
頑張って!
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the side of a square whose diagonal is of the given measure.
Given = 8 miles
The length of the side of the square is 4√2 miles
How to determine the side of the square?From the question, we have the following parameters that can be used in our computation:
Diagonal = 8 miles
The relationship between the side length of a square and its diagonal is
Diagonal = Side√2
Substitute the known values in the above equation, so, we have the following representation
Side√2 = 8
Divide both sides by √2
Side = 8/√2
Evaluate
Side = 4√2
Hence, the side length is 4√2 miles
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Calculating a correlation can help describe a relation between two quantitative variables' ___ and ___ . However, it is not sufficient to use a correlation coefficient to describe two variables. The addition of ___ can provide other helpful details such as __ _."
Answer:
direction
shape
scatter plots
shape and outliers
Step-by-step explanation:
Correlation is defined as the degree of correspondence between two variables.
When the values increase together, correlation is positive and when one value decreases as the other increases, correlation is negative .
Calculating a correlation can help describe a relation between two quantitative variables' direction and shape. However, it is not sufficient to use a correlation coefficient to describe two variables. The addition of scatter plots can provide other helpful details such as shape and outliers
What is the value of x?
SOLUTION
The principle behind the Exterior Angle Theorem is that:
the sum of two interior angles is equal to one exterior angle.
In this question, we have that :
X + ( X - 48 ) = X + 50
Collecting like terms, we have that:
2 X - 48 = X + 50
2X - X = 50 + 48
X = 98 Degrees.
CONCLUSION: The value of X = 98 Degrees.
Solve x/5-3<5 for oddesyywaree
Answer:
x < 40
Step-by-step explanation:
x/5-3<5
=5×x/5 -3×5 < 5×5
=x - 15 < 25
NOTE 5 will cancel 5 living x.
=x < 25 + 15
x < 40.
Therefore x is 40.
Like us, mice are warm-blooded creatures. Their bodies must maintain a constant
temperature of 37°C, regardless of the temperature of their environment. Doing so burns
calories. The more severe the temperature difference, the more calories the mouse must
burn to maintain its body temperature. Consulting the research literature, you found the
following model:
C = 0.37219T + 1,560
Where C is the number of calories an idle mouse burns each day and T is the temperature
of its environment in °C. What is the most comfortable temperature for an idle mouse?
(This is the temperature where it burns the least calories per day). How many calories will
it burn each day at that temperature?
At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.
To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.
To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:
dC/dT = 0.37219 = 0
Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.
Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.
For example, if we take a temperature of 20°C, we can calculate the calorie burn:
C = 0.37219 * 20 + 1,560
C = 7.4438 + 1,560
C ≈ 1,567.4438 calories per day
Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
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Today we are celebrating The Mathematics Day {[( + - / π √ ∆)]}
Karri tests the charges of a random sample of 64 batteries from a large production run. The mean charge was 8.93 volts, and the process typically has a standard deviation of 0.2 volts. To see if the batch has a significantly different mean voltage from 9 volts, the value of the z-test statistic would be ___________.
Answer:
The Z-statistic value is
Z = -2.33
Step-by-step explanation:
Step(i):-
Random sample size 'n' = 64
mean of the sample 'x⁻ ' = 8.93 volts
standard deviation of the sample = 0.2 volts
mean of the Population"μ" = 9 volts
Step(ii):-
Z -statistic
\(Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{8.93 -9}{\frac{0.2}{\sqrt{64} } } = -2.33\)
Conclusion:-
The Z-statistic value is = -2.33
Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.
x = –7 or x = 6
x = –7 or x = –6
x = –6 or x = 7
x = 6 or x = 7
Answer:
answer is in the img below
Step-by-step explanation:
brainliest plzzz
Answer:
A) x= -7 or x = 6
Step-by-step explanation:
e2021
What does the net decimal equivalent (NDE) represent?
Answer:
the product of the decimal equivalents of all discount in the series
What is the probability of drawing a heart card from a full deck of cards and
randomly selecting the letter j from a list of the alphabet?
a) 26.92%
Ob) 23%
c) 3.85%
Od d) 0.82%
Answer:
26.92%
Answer choice “A”
Explanation:
14 cards of hearts in a deck out of 52.
14/52 = 26.92%
The probability of drawing a heart card from a full deck of cards is 26.92%
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
As, we know there we have 14 cards of hearts in a deck out of 52.
So,
probability of drawing a heart card from a full deck of cards
=14/52
= 26.92%
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help, the question is what was swag mans slope
Answer:
5pls give brainiest
Step-by-step explanation:
10=2x
10/2=5