Answer:
\(\boxed{\bold { \large { \boxed {p = \frac{1}{5}}}}}\)
Step-by-step explanation:
\(\displaystyle -5 (p+\frac{3}{5} ) = -4\)
Divide both sides by -5
\(\displaystyle p+\frac{3}{5} = \frac{4}{5}\)
Subtract 3/5 from both sides
\(\displaystyle p = \frac{1}{5}\)
The mass of a certain grain of sand is 0.009 grams and the mass of the salt is 0.0006. Use scientific notation to compare the masses of the salt and sand grains. Show your work.
Pls Hurry !!!!!!!
i will give 100 points
Answer: The mass of the sand is greater than the mass of the salt.
Step-by-step explanation: Scientific notation is a way of writing numbers that are very large or very small. It is written in the form a x 10^b, where a is a number between 1 and 10 and b is an integer. For example, 300 can be written as 3 x 10^2 in scientific notation.
To compare the masses of the salt and sand grains using scientific notation, we first need to write them in scientific notation. The mass of the salt is 0.0006 grams, which can be written as 6 x 10^-4 grams. The mass of the sand is 0.009 grams, which can be written as 9 x 10^-3 grams.
Next, we compare the exponents. Since -3 < -4, we know that 9 x 10^-3 > 6 x 10^-4. This means that the mass of the sand is greater than the mass of the salt.
Hope this helps, and have a great day!
The ratio of females to total students in a mathematics class is 18 to 30. What fraction of the class is male? What percent is male?
Answer:
2/5 or 40%
Step-by-step explanation:
total students=30
female students=18
That must mean, assuming the rest of the class is binary male=12
12/30=2/5 or 40% if you multiply by 20, then multiply by 100%
(2/5)*20=.40*100%=40%
Solve the following quadratic function.
by utilizing the square root method.
Simplify your answer completely.
y = 16x² - 9
X = ± ?/?
Step-by-step explanation:
for each step, choose the reason that best justifies it. (NEED HELP QUICK)
The reason for each step to justify it is:
Division Property of Equality: This step involves dividing both sides of the equation by 4 to isolate the variable term on one side of the equation.
The step involved here is: (w+25)/4
Multiplication Property of Equality: This step involves multiplying both sides of the equation by 4 to simplify the equation and cancel out the denominator.
The step involved here is: 4*(w+25)
Addition Property of Equality: This step involves subtracting 25 from both sides of the equation to isolate the variable term on one side of the equation.
The step involved here is: w+25
Simplifying: This step involves simplifying the expression by combining like terms and performing arithmetic operations to simplify the equation.
The step involved here is: w+25-25=12-25
Subtraction Property of Equality: This step involves subtracting 25 from both sides of the equation to isolate the variable term and solve for the variable.
The step involved here is: w=-13
What is meant by division?
Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is represented by the symbol ÷ or / and is the inverse operation of multiplication. Division can be used to solve problems related to sharing, fractions, and ratios.
What is meant by multiplication?
Multiplication is a mathematical operation that involves adding a number to itself a certain number of times. It is represented by the symbol × or * and is the inverse operation of division. Multiplication can be used to solve problems related to scaling, area, volume, and rates.
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what is the solution of -4(8-3x)>or=6x-8?
Answer: x > or = to 4 (Inequality Form), [4, infinity) (Interval Notation)
Step-by-step explanation:
Isolate the equation.
Divide each side by the factors that do not contain x.
Solve for x.
need help w math question
Answer:
y = P • (1+r)^t
Balance after 2 years: $3307.5
Step-by-step explanation:
To answer this question, we will use standard equation that calculates bank interests:
A = P(1+(r/n))^(n•t)
It might seem complicated, but let's explain:
A - amount of money after the time period
P - principal amount, the amount of money you started with
r - interest rate, in decimal numbers
n - number of times interest is being calculated per year
t - number of years
Since here, interest is annual, n = 1, so our equation is:
A = P(1+r)^t
P = $3000
r = 5% = 0.05
t = 2 years
A = 3000(1+0.05)^2
A = 3000•(1.05)^2
A = $3307.5
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 66 and 44 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.D(t) = _______.
The equation for the temperature (D) in terms of t is D(t) = 11 * sin((π / 12) * t) + 55
To model the temperature over a day as a sinusoidal function, we can use the sine function. The general form of a sinusoidal function is:
D(t) = A * sin(B * t + C) + D
Where:
A: Amplitude of the function (half the difference between the high and low temperatures)
B: Period of the function (number of hours for one complete cycle)
C: Phase shift of the function (horizontal shift)
D: Vertical shift of the function (midnight temperature)
Given information:
Temperature at midnight = 55 degrees
High temperature = 66 degrees
Low temperature = 44 degrees
Amplitude (A):
The amplitude of the function is half the difference between the high and low temperatures:
A = (High temperature - Low temperature) / 2
A = (66 - 44) / 2
A = 22 / 2
A = 11
Period (B):
The period of the function represents the number of hours for one complete cycle. In this case, we can assume a 24-hour cycle since we're considering a day:
B = 2π / 24
B = π / 12 (approximately)
Phase shift (C):
Since the temperature is given at midnight, the function does not have any horizontal shift (phase shift):
C = 0
Vertical shift (D):
The vertical shift is the temperature at midnight:
D = 55
Putting all the values together, the equation for the temperature as a function of time (t) is:
D(t) = 11 * sin((π / 12) * t) + 55
Therefore, the equation for the temperature (D) in terms of t is:
D(t) = 11 * sin((π / 12) * t) + 55
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The pharmacist's milkweed concoction didn't work (see practice problem E). It only gave the queen split ends.
However, the queen, in a rare kind-hearted moment, agreed to let the pharmacist try again. This time he has decided to combine a mixture containing 50% sorghum with a mixture containing 75% sorghum to create a 10 ounce mixture containing 60% sorghum.
How many ounces of the 50% mixture should the pharmacist use?
In linear equation, 6 ounce of the 50% sorghum, man.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable.It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value.One such linear equation in one variable is 9x + 78 = 18.x + y = 10
equation 2:
.5x + .75y = 10(.6)
set y = 10 - x
.5x + .75(10-x) = 6
.5x + 7.5 - .75x = 6
.5x -.75x = 6 - 7.5
-.25x = -1.5
x = -1.5/-.25
x = 6
6 ounce of the 50% sorghum, man.
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f(x) = – 2x2 - 4x – 18 Find f(-6)
Answer:
(0,-18)
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEEEEEE
Answer:
A- 5 banners
B- 2 banners
C- 2 banners
D- Shade banner 2
Seven more than twice a number is 175.
Walter's home was originally valued at $29,275. Due to some home improvements, its value is now $56,176. How much more is Walter's home worth now?
Answer: $26901
Step-by-step explanation:
From the information given, we are informed that Walter's home was originally valued at $29,275 but that after some improvement, it is now valued at $56,176.
Therefore, the increase in the worth of Walter's home will now be the difference in the values given above. This will be:
= $56,176 - $29275
= $26901
Evaluate the expression 2c-4d if c = 8 and d - -5
-4
16
36
3
Answer:
The answer is 36
Step-by-step explanation:
=16-4(-5)
=16-(-20)
=36
A rectangular piece of plywood 4 ft by 5.5 ft is cut from one corner to the opposite corner. What are the angles between the edges of the resulting pieces
The angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)
We know that the rectangle has sides of length 4 ft and 5.5 ft, so we can use the Pythagorean Theorem to find the length of the diagonal \($BD$\):
\($$ BD^2 = 4^2 + 5.5^2 $$\)
\($$ BD^2 = 16 + 30.25 $$\)
\($$ BD^2 = 46.25 $$\)
\($$ BD = \sqrt{46.25} $$\)
\($$ BD = 6.8 \text{ ft (rounded to one decimal place)} $$\)
Now, we can use the Law of Cosines to find the angle between sides \($AB$\)and \($AD$\) in triangle \($ABD$\):
\($$ \cos(A) = \frac{BD^2 + AB^2 - AD^2}{2 \cdot BD \cdot AB} $$\)
\($$ \cos(A) = \frac{6.8^2 + 4^2 - 5.5^2}{2 \cdot 6.8 \cdot 4} $$\)
\($$ \cos(A) = 0.5471 $$\)
\($$ A = \cos^{-1}(0.5471) $$\)
\($$ A = 56.1^\circ \text{ (rounded to one decimal place)} $$\)
Similarly, we can use the Law of Cosines to find the angle between sides \($BC$\) and \($CD$\) in triangle:
\($$ \cos(B) = \frac{BD^2 + BC^2 - CD^2}{2 \cdot BD \cdot BC} $$\)
\($$ \cos(B) = \frac{6.8^2 + 5.5^2 - 4^2}{2 \cdot 6.8 \cdot 5.5} $$\)
\($$ \cos(B) = 0.7416 $$\)
\($$ B = \cos^{-1}(0.7416) $$\)
\($$ B = 42.5^\circ \text{ (rounded to one decimal place)} $$\)
Therefore, the angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)
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will give BRAINLIEST, please answer quickly, easy question
Answer:
A =576 pi in ^2
Step-by-step explanation:
Circumference is given by
C = 2 * pi *r
48 pi = 2 * pi *r
divide by 2 pi
48 pi /2 pi = 2 * pi * r / 2 pi
24 = r
We can find the area by
A = pi r^2
A = pi (24)^2
A =576 pi in ^2
Answer:
576π in^2
Step-by-step explanation:
Circumference of circle (C) = 2πr = 48π in
2πr = 48 π
r = 48π/2π = 24 in
Area of circle (A) = πr^2
r (radius of circle) = 24 in
A = π(24 in)^2 = 576π in^2
Which box plot has the most variability A,B,C,D
Students are asked to estimate the number of gumballs in a jar. Sam says there are 228 gumballs. In actuality, there are 240 gumballs. What is the percent error
Answer:
5%
Step-by-step explanation:
Percent error = (actual - estimated) / actual x 100
(240 - 228) / 240 x 100 = 5%
what percentage of students were surveyed between the ages of 10-13?
Answer:
60%
Step-by-step explanation:
The total is 90 students, and 54/90 is 0.6. 0.6 is equal to 60%!
A contingency table would be used to summarize data such as ________.
Answer: Company employees by gender and organizational title
Step-by-step explanation:
There is no step by step answer needed for this answer.
Jacob played a trivia game and lost 8
points by answering 2 questions
incorrectly. How many points did he lose
per question?
Answer:
4
Step-by-step explanation:
. Importance of hydrologic cycle The role of water is central to most natural processes - Transport - Weathering, contaminant transport - Energy balance - transport of heat, high heat capacity - Greenhouse gas - 80% of the atmospheric greenhouse effect is caused by water vapor - Life - for most terrestrial life forms, water determines where they may live; man is exception
The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.
The importance of the hydrologic cycle can be understood by considering its various functions:
Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.
Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.
Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.
Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.
Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.
It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.
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Find m/TRS if m/1 = 2x + 4 and
m/2= 3x - 3.
T
P
S
1
R
If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS = 36°.
What is an angle?
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
The measure of ∠1 = 2x + 4
The measure of ∠2 = 3x - 3
The measure of ∠TRS is -
∠TRS = ∠1 + ∠2
Since, PR is a bisector then ∠1 = ∠2.
The equation is -
2x + 4 = 3x - 3
2x - 3x = - 3 - 4
-x = -7
x = 7
Substitute the value of x in the angles -
∠1 = 2(7) + 4
∠1 = 14 + 4
∠1 = 18°
∠2 = 3(7) - 3
∠2 = 21 - 3
∠2 = 18°
So, the value of ∠TRS is -
∠1 + ∠2
18° + 18°
36°
Therefore, the measure of ∠TRS is 36°.
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Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. 24 31 47 29 31 16 48 41 50 54 37 22 54 38 7 16
The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz
To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.
By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.
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15 of the students in a English class passed a English test. If these students are 75% of
all the studerts in the class, howmary students are in this English dess? Round your
answer to the nearest whole number if necessary.
Answer:
20
Step-by-step explanation:
15=75%
15=3/4
3/4÷15=60/3=20
CAN SOMEONE HELP ME FIND THE AREA OF THE LIGHT GRAY PART WITH AN EXPLANATION :)
(IF YOU WANT ME TO GO TO A LINK I'M NOT, SO YOUR ANSWER WILL BE REPORTED IF YOU DECIDE TO INCLUDE ONE)
Answer:
91 or 525
Step-by-step explanation:
Multiply the objects width (How long it is), times height. For the smaller object inside the bigger object, it is 91. For the bigger object, it is 525.
Causes of variation that can be identified and eliminated are called what?
The causes of variation that can be identified and eliminated are called; Assignable Causes.
What are the causes of Variation?There are two primary causes of variation in the quality of a product or process. These two primary causes are called;
Common causes.Assignable causes.Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.
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Necesito ayuda urgente, es un trabajo de matemáticas y tengo plazo hasta mañana a las 12:00 P.M hora Colombia. Ayudaaa plisss
Tengo que seleccionar la opción correcta
Answer:
La respuesta correcta es B)
Ambos son pentágonos ordinarios pero no son exactamente idénticos
At a carnival game, it cost Noah $12 to toss 30 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
The equivalent ratios table is:
Toss Dollars
5 2
30 12
45 18
See the diagram in the attachment that shows the plotted points.
What are Equivalent Ratios?Equivalent ratios are ratios that have the same value when they are compared together.
For example, 4/6 = 2/3, therefore, the equivalent ratios are 2:3 and 4:6.
Create an equation that models equivalent ratios that can be used to complete the table if:
x = toss
y = dollars
Therefore, given that 30 toss equals $12,
Constant of proportionality, k = y/x = 12/30
k = 2/5.
Plug in the value of k into y = kx:
y = 2/5x.
Therefore:
2 dollars (y = 2), will give:
2 = 2/5(x)
x = 10/2
x = 5 toss
45 tosses (x = 45) will need:
y = 2/5(45)
y = 18 dollars
The equivalent ratios table would be:
Toss | Dollars
5 2
30 12
45 18
The graph below shows the points, (5, 2), (30, 12), and (45, 18), where y = dollars, and x = toss.
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simplify by combining terms:
3 (4x + 5) + 2
Answer:
Step-by-step explanation:
First you distribute the 3 to the numbers in the parentheses: 12x + 15. Then simplify 12x + 15 + 2 = 12x + 17
what is the invariant of a class quizlet always make an explicit statement of the rules that dictate how the member variables of a class are used. these rules are called the invariant of the class. all of the functions (except the constructors) can count on the invariant being valid when the function is called. each function also has the responsibility of ensuring that the invariant is valid when the function finishes.
In the object-oriented programming paradigm, a class invariant is a property that must always be true for any instance of a class. It is a condition or a set of conditions that must be maintained by all member functions for the proper functioning of a class.
A class invariant, therefore, is a formal statement of the rules that dictate how the member variables of a class are used. All member functions (with the exception of constructors) can depend on the invariant being valid when the function is called. Each function is also responsible for ensuring that the invariant is valid when the function finishes.
The invariant represents an important constraint that must be maintained in a class. As a result, a well-defined class invariant is important for the stability and reliability of the class.
The class invariant may be a single condition or a set of conditions that need to be maintained for the class to operate correctly. These conditions may be explicitly stated in the class documentation or in the form of assert statements in the class implementation. The invariant may be as simple as a range constraint or as complex as a logical relationship between multiple variables.
In any case, the invariant must be maintained by all the member functions of the class. the invariant of a class is a set of rules that govern how the member variables of a class are used. It is a condition that must always be true for any instance of a class. The invariant is important for the stability and reliability of a class, and each member function is responsible for ensuring that the invariant is valid when the function finishes.
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