They do not have enough stones and the quantity that they need is of 46 stones.
How to verify if they have enough stones?The quantities in this problem are given as follows:
16351: total number of stones in the wall.8361: number of stones that already have been placed in the wall.x number of stones that still need to placed into the wall.Then the equation to obtain the solution for x is given as follows:
x + 8361 = 16351.
x = 16351 - 8361
x = 7990 stones remaining.
The amount of stones that they have is given by:
7944.
Which is less than 7990 stones, hence the do not have enough stones and the quantity that they need is given by the subtraction of 7990 and 7944 as follows:
7990 - 7944 = 46 stones.
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A) Patricia runs a small events-organizing company based in Nairobi. She has just received an order to organize an SME development seminar at the Sarova Stanley Hotel hosted by the World Bank. She has concluded that there is a linear relationship between her costs and the number of participants attending the event. She is billing World Bank Ksh 10,000 per participant while the hotel charges her Ksh 2,500 per participant for meals in addition to Ksh 225,000 fixed charge for the hall. Required:
i)Find the number of participants who would need to attend the forum for Patricia to break even (2 Marks)
ii. How many would need to attend for her to make a profit of Ksh 337,500? (5 Marks)
i) The number of participants that would need to attend the forum for Patricia to break even is of: 30.
ii) The number of participants that would need to attend the forum for Patricia to obtain a profit of Ksh 337,500 is of: 75.
What is the linear function that defines the situation?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope, representing the rate of change.b is the y-intercept, representing the value of y when x = 0.Hence in the context of this problem, the meaning of each coefficient is given as follows:
Slope: profit per participant.Intercept: fixed costs.Hence the values of each coefficient are given as follows:
m = 7500, as she is billing 10000 per participant while the hotel charges 2500 per participant.b = -225000, which is the fixed charge.Hence the profit function is given as follows:
P(x) = 7500x - 225000.
She breaks even when P(x) = 0, hence:
7500x - 225000 = 0
7500x = 225000
x = 225000/7500
x = 30 participants.
She makes a profit of 337500 when:
7500x - 225000 = 337500
x = (337500 + 225000)/7500
x = 75 participants.
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two essential features of all statistically designed experiments are
A comparison of multiple treatments and the use of the double-blind method are two fundamental components of all statistically designed experiments. (6) Compare various treatments; assign patients to treatments at random.
What is double-blind method?
A kind of clinical experiment in which neither the participants nor the researcher is aware of the treatment or intervention that each participant is receiving until the trial is complete.
This reduces the likelihood of skewed study outcomes.
What is a sample of a double-blind study?
Imagine, for instance, that researchers are looking into the effects of a novel medication.
The participants in a double-blind study would not be aware of who was receiving the real medication and who was receiving a placebo, and neither would the researchers who interact with them.
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The complete question is -
Two essential features of all statistically designed experiments are (2 Points) O use enough subjects; always have a control groups O always have a placebo group; use the double - blind method O use a block design; use chance to assign subjects to treatments O compare several treatments; use the double - blind method O compare several treatments; use chance to assign subjects to treatments.
A line that includes the points (r,7) and (10,3) has a slope of
–4. What is the value of r?
[tex](\stackrel{x_1}{r}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{r}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{-4} \\\\\\ \cfrac{-4}{10-r}=-4\implies -4=-40+4r\implies 36=4r\implies \cfrac{36}{4}=r\implies 9=r[/tex]
Question 5 of 5
A linear function contains the following points.
y
What are the slope and y-intercept of this function?
OA. The slope is 5.
The y-intercept is (0, -3).
B. The slope is 5/6
The y-intercept is (0, -3).
OC. The slope is 5/6
The y-intercept is (-3,0).
OD. The slope is. 6/5
The y-intercept is (0, -3).
PLEASE HELP ME QUICK, HURRY!!!!!
The slope and y-intercept of this function is
B. The slope is 5/6, The y-intercept is (0, -3
How to find the slope and the y-interceptLinear function is a function of the form y = mx + c
m = slope
c = intercept
The slope is represented as m, The slope by definition is the ratio change of the output values to the input values
the slope, m calculated using the points (0, -3) and (6, 2)
m = (y₀ - y₁) / (x₀ - x₁)
m = (2 - -3) / (6 - 0)
m = (5) / (6)
m = 5/6
c = y intercept, from the table
c = -3
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2 and 2/3 simplified
[tex]\stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}}[/tex]
What i the value of x in the equation 0. 2(x 1) 0. 5x = –0. 3(x – 4)?
Negative even-halve
–1
1
Seven-halve
The value of x for the given equation is 1.
What is solving an equation?
A General Rule for Equation Solving
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.
To separate the variable term on one side of the equation, use addition or subtraction.
To find the variable, use division or multiplication.
Consider the given expression
0.2(x + 1) + 0.5x = -0.3(x - 4)
Simplifying,
0.2x + 0.2 + 0.5x = -0.3x + 1.2
0.7x + 0.2 = -0.3x + 1.2
Add 0.3x on both sides,
0.7x + 0.2 + 0.3x = -0.3x + 1.2 + 0.3x
x + 0.2 = 1.2
Subtract 0.2 from both sides,
x + 0.2 - 0.2 = 1.2 - 0.2
x = 1
Hence, the value of x for the given expression is, 1.
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A study conducted by Norman Hollenberg, professor of medicine at Brigham and Women’s Hospital and Harvard Medical School, involved 27 healthy people aged 18 to 72. Each subject consumed a cocoa beverage containing 900 milligrams of flavonols (a class of flavonoids) daily for five days. Using a finger cuff, blood flow was measured on the first and fifth days of the study. After five days, researchers measured what they called "significant improvement" in blood flow and the function of the cells that line the blood vessels.³³ What flaw in the design of this experiment makes it impossible to say whether the cocoa really caused the improved blood flow? Explain.
There was no control group for comparison answers.
There was no control group to compare the results to change in blood flow could have been caused by something else .
What is meant by blood flow ?The movement of blood through the vessels from arteries to capillaries and then into veins is referred to as blood flow.
There are two blood circulatory systems in the human body, which are linked: The systemic circulation transports blood to organs, tissues, and cells, supplying them with oxygen and other vital substances. The pulmonary circulation is where fresh oxygen enters the bloodstream.
As the heart beats, blood is pumped through a network of blood vessels known as the circulatory system. The vessels are flexible tubes that transport blood to all parts of the body.
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HELP ANSWERpleaseeee im timed
The percentage of the campers that are participating in a nature hike that are females is 57.1% (first option)
What is the percentage?
Percentage is the fraction out of an amount expressed as a number out of hundred. The sign that is used to represent percentage is %. In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.
Percentage of the campers that are participating in a nature hike that are females = (number of females in the nature hike / total number of campers in the nature hike) x 100
Total number of campers in the nature hike = 20 + 15 = 35
Percentage of the campers that are participating in a nature hike that are females = (20 / 35) X 100 = 57.1%
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Thomas took a 140-mile bus trip to visit his grandparents. His trip is outlined on the graph below.
1) Explain what might have happened in the interval between D and E.
2) State the interval in which the bus traveled the fastest.
3) State how many miles per hour the bus was traveling during this interval.
4) What was the average rate of speed, in miles per hour, for Thomas's entire bus trip?
1) The bus took a 30-minute stop in the interval between D and E
2) The bus traveled the fastest in the interval between C and D
3) The bus was traveling at 60 miles per hour during this interval.
4) The average rate of speed of the bus over the entire journey is 35 miles /hr
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here for the first question we have there was no change in the distance in the interval between D and E thus bus must have stopped for 30 minutes.
2) The interval in which the bus travelled the fastest is between C and D
3) The Speed of the bus in this interval is S = 90/1.5
= 60 miles/hr
4) The average speed of the bus over the entire trip is Sₐ = 140/4
= 35 miles/hr
Hence the above answers are correct ones.
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5. If g = -2 and h = -3 find the value of
a) 7g - 2h
b) 3gh - 4h
c) 2g²-4h²
Answer: a
Step-by-step explanation:
ANSWER FOR BRAINLY!!
(x+1)(2x-4)=0
rewrite the equation as a compound statement and find 2 solutions to the equation.
Answer: [tex]x=-1, 2[/tex]
Step-by-step explanation:
If [tex]ab=0[/tex], then [tex]a=0[/tex] and/or [tex]b=0[/tex].
So, [tex]x+1=0[/tex] or [tex]2x-4=0[/tex].
[tex]x+1=0 \implies x=-1\\\\2x-4=0 \implies x=2\\\\\therefore x \in \{-1, 2\}[/tex]
!!50 Points!! Pls help ASAP!!!
Simplify
[tex](3\sqrt{-5} + 2)(4\sqrt{-12} - 1)[/tex]
The simplification of the expression (3√-5 + 2)(4√-5 -1) gives 5√-5 - 62
How to simplify numbers and expressions?Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.
Given: the expression (3√-5 + 2)(4√-5 -1)
(3√-5 + 2)(4√-5 -1)
Clear the parenthesis:
(3√-5 + 2)(4√-5 -1) = 3√-5(4√-5) + 3√-5 (-1) + 2(4√-5) + 2(-1)
= -60 - 3√-5 + 8√-5 -2
= 5√-5 - 62
Therefore, the expression (3√-5 + 2)(4√-5 -1) simplifies to 5√-5 - 62
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a riverboat travels at an average of 14km per hour in still water. the riverboat travels 110km east up the Ohio river and 110km west down the same river in a total of 17.5 hours. To the nearest tenth of a kilometer per hour, what was the speed of the current of the river?
The speed of the current of the river will be 4.47 km per hour.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A riverboat goes at a normal of 14km each hour in still water. the riverboat voyages 110km east up the Ohio waterway and 110km west down a similar stream in a sum of 17.5 hours.
Let 'y' be the speed of the current of the river. Then the equation is given as,
T = T₁ + T₂
17.5 = [110 / (14 + y)] + [110 / (14 - y)]
17.5 / 110 = (14 - y + 14 + y) / (196 - y²)
196 - y² = 176
y² = 20
y = 4.47 km per hour
Then the speed of the current of the river will be 4.47 km per hour.
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which equation has roots of 3+i and 3-i
is x^2-6x+10=0
but can you show me the work
The quadratic equation with the roots 3+i and 3-i is:
x^2 - 6x + 10 = 0
How to find the equation with the given roots?We know that a quadratic equation with the roots a and b is written as:
(x - a)*(x - b) = 0
Here the roots are 3 + i, and 3 - i.
Replacing that we get:
(x - 3 - i)*(x - 3 + i) = 0
Expanding the product on the left we get:
x^2 + x*(-3) + x*i + (-3)*x + (-3)*(-3) + (-3)*i + (-i)*x + (-i)*(-3) - i^2 = 0
Remember that i^2 = -1, then:
x^2 -3x + x*i - 3x + 9 - 3i - x*i + 3i + 1 =0
x^2 - 6x + 10 = 0
That is the equation for the given roots.
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Can someone please help me with this? I’ll be really thankful if you do! :D
H represents integer -2 on the number line
Opposite value of -2 is 2
Absolute value of -2 is 2
What is opposite and absolute value of an integer?
Opposite integers: Two numbers that are the same distance from zero but on opposite sides.
Absolute value of integer: The integer’s distance from zero on the number line.
Every integer has an opposite.
The sum of two opposites is always zero.
For example 5 is opposite of -5
According to the given question:
The integer represented by the H lies on the left hand side of zero that is negative side of number line.
H represents -2 on the number line
Opposite value of -2 is 2
Absolute value of -2 is 2
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solve the following system of equations. if there is no solution, write dne in each coordinate of the ordered triplet. if there are an infinite number of solution, write each coordinate in terms of z . z. x 7
DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.
Whais the explanation?1.) 2+3 = y + 12
Make y the formula's subject after adding the LHS.
5 = y + 12
Y = 5 - 12
Y = - 7
The answer to the equation is -7
2.) 2 + 13 = 1 +8
The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).
3.) y - 7 = 2 - 11
RHS is added, and y is become the formula's subject.
Y - 7 = -9
Y = -9 + 7
Y = -2
The equation's answer is -2.
The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12
2 + 13 = 1 +8
y - 7 = 2 - 11
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Factor the quadratic inequality to find the x-intercepts.
y≥x²+2x-8
The x-intercept of the quadratic inequality is -4 ≥ x and 2 ≥ x.
How to solve quadratic inequality?Let's factor the quadratic inequality to find the x-intercepts. The x-intercept of the quadratic inequality is the value of x when y = 0.
Therefore,
y ≥ x² + 2x - 8
0 ≥ x² + 2x - 8
0 ≥ x² - 2x + 4x - 8
0 ≥ x(x - 2) + 4(x - 2)
0 ≥ (x + 4)(x - 2)
Therefore,
0 ≥ x + 4
-4 ≥ x
0 ≥ x - 2
2 ≥ x
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graph a line for function d = 0.25t
The graph line for function d = 0.25t is added as an attachment
How to graph the line of the function?The equation of the function is given as
d = 0.25t
The above function is a linear function
One way to create the graph is to make a list of ordered pairs
So, we have
When t = 0, d = 0.25 * 0 = 0
When t = 1, d = 0.25 * 1 = 0.25
When t = 2, d = 0.25 * 2 = 0.5
So, the ordered pairs are (0, 0), (1, 0.25) and (2, 0.5)
We plot these points on a graph and connect them through a line
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A partial payment is made on the date indicated. Use the United States rule to determine the balance due on the note at the date of maturity. (The Effective Date is the date the note was written.) Assume the year is not a leap year.Principal Rate Effective Date Partial Payment Maturity Date Amount Date $2000 4% April 1 $1000 May 1 June 1 The balance due on the note at the date of maturity is $nothing.(Round to the nearest cent as needed.)
The balance due on the note at the date of maturity is $1010.13.
What is meant by partial payment?The offering of a payment by cheque for less than the whole amount sought by the creditor is known as partial payment. It is standard practice to grant debt forgiveness in exchange for the tender of a "payment-in-full" check.
Given permission to apply the US rule
In the United States, a year is deemed to have 360 days for the purposes of calculating interest.
Given that the principal is $ 2000,
Interest rate = 4% = 0.04
The effective date is April 1.
The whole amount is $1,000.
May 1 = partial payment
Duration = 30 days (May 1 - April 1)
Therefore, interest = PTR = 2000 * 0.04 * 30/360 = $6.67
So value = $ 2000 + $6.67 = $6.67
Partial payment received = $1,000
As a result, value = $ 1006.67 = $2006.67 - $ 1000
Time T= 31
Interest = PTR * 31/360 * 0.04 = 3.46
So the total value is $1006.67 + $3.47 = $1010.13.
The note's outstanding balance at maturity is $1010.13.
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Calculate the average rate of change from x = −2 to x = 1 of the function below. f(x) = x2 + 5x − 12 First, find the change in y by evaluating the function at −2 and 1:
The average rate of change over the interval x = -2 and x = 1 is 4
How to determine the average rate of changeThe equation is given as
f(x) = x² + 5x - 12
The interval is given as:
x = -2 to x = 1
Start by calculating the functions f(-2) and f(1)
So, we have
f(-2) = (-2)² + 5(-2) - 12 = -18
f(1) = (1)² + 5(1) - 12 = -6
So, the average rate over these intervals is calculated as:
Average rate = [f(1) - f(-2)]/[1 - -2]
This gives
Average rate = [-6 - -18]/[1 - -2]
Evaluate
Average rate = 4
Hence, the average rate of change is 4
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how many baskets did Elijad make during his seoncd game
Answer:
[tex]\huge\boxed{\sf 3 \ baskets}[/tex]
Step-by-step explanation:
Let the baskets missed in game 2 be x.
Says that, the shooting of both the games were accurate.
So,
Using proportionality:[tex]\displaystyle \frac{Baskets \ made \ in \ game \ 1}{Baskets \ missed \ in \ game \ 1 } =\frac{Baskets \ made \ in \ game \ 2}{Baskets \ missed \ in \ game 2} \\\\\frac{15}{5} =\frac{x}{1} \\\\Cross \ Multiply\\\\15 \times 1 = 5 \times x\\\\15 = 5x\\\\Divide \ 5 \ to \ both \ sides\\\\3 = x\\\\x = 3\\\\\rule[225]{225}{2}[/tex]
carla's cell phone company charges $35 a month for phone service plus $0.50 for each text message. carla's bill was $52 this month.
The number of text messages sent by carla in a month is 34.
What is an algebric equation ?
An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.
For given question,
Phone service = $35
For each text message = $0.50
Total bill = $52
Let x be the no. of total text messages.
Equation: 52 = 35 + 0.50x
Solving for x,
52 - 35 = 0.50x
17 / 0.50 = x
34 = x
The number of text messages sent by carla in a month is 34.
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The sum of three numbers is 23.
Three times the smallest is 4 less than the largest, while the sum of the largest
and smallest is 16. Use a linear system in three variables to find the three numbers.
The three numbers are __ , __
and __
Answer:
The three numbers are 3, 7 and 13
Step-by-step explanation:
Considering the 3 numbers: x, y and z
x + z = 16
z=16-x
3x=z-4
3x=16-x-4
4x=12
x=3
3+z=16
z=16-3
z=13
3+13+y=23
y=23-13-3
y=7
Hope this helps :)
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.
S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}
Answer:
[tex]S=\{-2,-3\}[/tex]
Step-by-step explanation:
Required integers are: -2 and -3
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
3
6
5
The expression above can also be written in the form
a
b
c
.
For this expression, a = , b = , and c = .
From knowledge of numerals the answer to the given Question is: a = 3 b = 6 c = 5
What are Numerals?
Numerals are symbols or numerals used to represent numbers. They are used in math and other fields to represent quantities and measurements. Numerals can be written in different forms, such as Arabic numerals (1, 2, 3, etc.) or Roman numerals (I, II, III, etc.). Numerals are also used to label items, such as dates (e.g. May 4th, 2020), addresses (e.g. 1234 Main Street), and telephone numbers (e.g. 555-123-4567). Numerals are an important part of our everyday lives, used to count, measure, and express amounts.
Numerals are just a combination of digits that we know
for example if 0,1,2,3,4,5,6.....9
are the fundamental digits then numbers from these like
12,34,668,389,23,39 etc are called numerals
We can also conclude that all numbers have originated from numerals itself and numerals are basic unit of formation of numbers
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name the property used in the equations
A) 3x+9y-1 = 3(x+3y) -1, here distributive property is used the 3 is multiplied with each term inside the bracket.
What is algebraic operations?
Any of the common arithmetic operations, such as addi - tion, subtraction, multiplication, division, raising to a complete number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power). These operations could be applied to numerical data, in which case people are frequently referred to as arithmetic operations. Similar operations can be carried out on factors, algebraic expressions, and, more generally, on components of algebraic structures like groups and fields. Another way to describe an algebraic operation is as a function from the Cartesian power of the a set to the same set. The dot product is an example of an operation that can be described by compounding simple algebraic operations, and is referred to as an algebraic operation.
b) 7x+5y-5y = 7x
Here the Additive inverse of 5y is used which is -5y .
c) (x-4)(x+3) = 0
here distributive property of addition over multiplication is used.
d) 4x+5x = 5x+4x
here commutative property is used.
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how does weather existe? I need help
Answer: How Weather Exists
Step-by-step explanation:
~I think you mean, how weather exists.
You see, "Weather" exists because of the atmosphere. Evidently, weather is the movement of the atmospheric gases around the planet that creates weather. Places like the Moon or Mercury do not have weather - only temperature changes.
~Hope this helped :)
Uan earn $5 per item he ell. How many item hould he ell to make a profit of $60 or more?
By resolving an equation, we may determine that Uan needs to sell 12 or more goods in order to generate a profit of $60 or more.
What do we mean by equations?A formula that describes how two expressions on each side of a sign are connected.
It typically has an equal sign and one variable.
Similar to this: 2x - 4 = 2.
Graphing, substitution, or elimination are the three methods that can be used to solve systems of equations.
To answer a problem by graphing, just plot the given equations on a graph and identify the point(s) where they all intersect.
So, a number of items Uan should sell to earn a profit of $60 or above:
We know that Uan earns $5 for each item he sells.
So, let x be the number of items Uan should sell.
Then, the equation will be:
5x = 60
Now, solve as follows:
5x = 60
x = 60/5
x = 12
Profit of $60: 12 items to sell
Profit more than $60: More than 12 items to sell
So, by resolving an equation, we may determine that Uan needs to sell 12 or more goods in order to generate a profit of $60 or more.
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simetrico de [tex]\frac{8}{4}[/tex]
The symmetric fraction to 8/4 is given as follows:
1/2.
How to obtain the symmetric fraction?A fraction is a numerical representation of the division of the two terms, symbolized x and y, as follows:
Fraction = x/y.
The technical terms of x and y are given as follows:
The top term x of the fraction is the numerator of the fraction.The bottom term x of the fraction is the denominator of the fraction.The symmetric fraction is obtained exchanging the numerator and the denominator, hence it is of:
Symmetric fraction = y/x.
The fraction in this problem is given by:
8/4.
Hence the symmetric fraction is of:
4/8 = 1/2.
(as both 4 and 8 are divisible by 4).
TranslationThe problem asks for the symmetric fraction to 8/4.
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State the domain and range of the graph below
Answer:
For the first graph:
Domain: -∞ [tex]\leq[/tex] x [tex]\leq[/tex] ∞
Range: y [tex]\geq[/tex] 3
For the second graph:
Domain: 0 [tex]\leq[/tex] x [tex]\leq[/tex] 4
Range: y [tex]\leq[/tex] 64
Step-by-step explanation:
For the second graph, I'm assuming that that point are stopping at (0,0) and (4,0) that's why I wrote that for the domain. If it doesn't stop, then the domain would be the same and the first graph.
