On solving the provided question, we can say that by unitary method hire for R350 / day, the first 200kmare for free; cost to go to Cape Town if the distance is 1200 kilometers = 1200*350 = 420000
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
by unitary method
hire for R350 / day, the first 200kmare for free
the maintenance for the
day (costs R 225 R3,20 is charged
for every km travelled
cost to go to Cape Town if the distance is 1200 kilometers
= 1200*350 = 420000
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A number is chosen at random from the set s={12345.......20}.What is the probability that the number is from the set A={x:3<x<10}?
We choose any number at random from 1 -5 . total number of favourable outcomes = 5. Therefore, probabilty of each outcome = 1/5 .
What is the likelihood of selecting 1 through 5?If we pick a number at random between 1 and 5, the total number of favorable outcomes is 5. As a result, the probability of each scenario is 1/5. P (X) = n/N, where n is the number of favorable outcomes and N denotes the total number of potential outcomes.
A random variable in probability is a real-valued function whose domain is the sample space of the random experiment. It indicates that each random experiment outcome is connected with a single real number, and the single real number may change depending on the random experiment outcomes.
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A frozen yogurt shop conducted a survey in which it asked every fourth customer for his or her favorite flavor. Most of the customers surveyed preferred vanilla yogurt, so the shop concluded that the customers' favorite flavor is vanilla. Is this a valid conclusion?
Answer:
No
Step-by-step explanation:
They did not get everyones imput
Heyy I need help study island and math sucks
A soccer player is going to kick a soccer ball from one corner of a field to the opposite corner. If the field is 76 meters long and 57 meters wide, how far will the soccer player have to kick the ball?
Answer:
The soccer player will have to kick the ball a distance of 95 meters. This is because the distance from one corner of the field to the opposite corner is the hypotenuse of a right triangle, with one side being 76 meters and the other side being 57 meters. Using the Pythagorean theorem (c^2 = a^2 + b^2), we can calculate that the hypotenuse (c) is 95 meters.
What is the product of 5x and (- 4xyz?
The result of this calculation is -20xyz. This answer can be verified by taking 5x, which is 5 times x, and -4xyz, which is -4 times xyz, and multiplying them together. This gives -20 times x times y times z, which is -20xyz.
The product of 5x and -4xyz is -20xyz.
-20xyz
5x * (-4xyz) = 5x * (-4) * xyz = -20xyz
Multiplying 5x and -4xyz together yields -20xyz. To calculate this, first take the 5x and multiply it by -4. Then take the answer and multiply it by xyz. The result of this calculation is -20xyz. This answer can be verified by taking 5x, which is 5 times x, and -4xyz, which is -4 times xyz, and multiplying them together. This gives -20 times x times y times z, which is -20xyz.
The product of 5x and -4xyz is -20xyz.
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Find the missing values in the ratio table. Then write the equivalent ratios in the order they appear in the table. Feet $\frac{1}{24}$ $\frac{1}{8}$ Inches $\frac{1}{2}$ $1$ $\frac{1}{4}$ : : : :
The missing value in the ratio table will be calculated is 4.
How to calculate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
The missing values in the ratio table will be calculated this:
1/2 = x / 8
The next thing to do after the above is to cross multiply in order to get the value of x. This will be:
2 × x = 1 × 8
2x = 8
Then, we have to divide through by 2.
x = 8 / 2
x = 4
Therefore, the value of x is 4.
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Complete question
Find the missing values in the ratio table.
1/2 : x/8
▬▬▬▬
10. Write the equation log328 -
a.
3
325 = 8
3/5
b. 3
in exponential form.
85 = 32
C.
3/5
32
= 8
d. S
83 = 32
The equation log328 is c.3/5 32 is 8.
How do you write in exponential form?The following examples illustrate how to express numbers raised to specific powers of their prime factors in order to write them in exponential form,
8 = 2 × 2 × 2 = 23. Therefore, the exponential form of 8 can be written as 2.... 72 = 2 2 2 3 3 = 23 32.... 121 = 112.
First, isolate the exponential expression. Step 2: Take the natural log from both sides. Step 3: Extract the x from the exponent using the properties of logs. Solve for x in step four.
The following examples illustrate how to express numbers raised to specific powers of their prime factors in order to write them in exponential form:
8 = 2 × 2 × 2 = 23. Therefore, the exponential form of 8 can be written as 2.... 72 = 2 2 2 3 3 = 23 32.... 121 = 112.
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if lucinda has only $70 to spend and the price of kewpie dolls and the price of beanie babies are both $14, how many of each will lucinda buy if she is rational?
If Lucinda were logical, she would purchase two kewpie dolls and one bean bag toy.
The marginal advantage that Lucinda receives from Kewpie dolls and Beanie Babies is shown in the table below.
If Lucinda only has $70 to spend and kewpie dolls and beanie babies cost the same amount of money ($14 each),
If Lucinda only has $18 to spend and kewpie dolls and beanie babies are both $6 each,
When the marginal benefit of a combination is equal, Lucinda will purchase it.
If Lucinda were logical, she would purchase two kewpie dolls and one bean bag toy.
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A company is deciding which box to use for their merchandise. The first box has a base that measures 8 inches by 10.5 inches with a height of 6.25 inches. The second box has a base that measures 9 inches by 5.5 inches with a height of 11.75 inches. Which box required more material to make? If each box (from #10) used material that cost $0.03 per square inch to make, how much does a company save by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box?
Second box required more material to make.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The first box has a base that measures 8 inches by 10.5 inches with a height of 6.25 inches
8=length, 10.5=width and height=10.5
SA=2(8 ×6.25+8 × 10.5+6.25 × 10.5)
SA=2(50+84+65.625)
SA=2(199.625)
SA=399.25
For second box
9=length, 5.5=width and height=11.75
SA=2(9 ×5.5+9 ×11.75+5.5 ×11.75)
SA=2(49.5+105.75+64.625)
SA=2(219.875)
SA=439.75
Hence, second box required more material to make.
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Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - x + 5 = 0
Write the phrase as an expression. Then simplify the expression. 7 plus the sum of a number x and 5
Answer:
The expression. 7 plus the sum of a number x and 5 will be written as 7 + (x + 5).
Step-by-step explanation:
From the information given, the phrase is written as 7 plus the sum of a number x and 5. Therefore, the expression will be:= 7 + (x + 5).
Let's say x is 2. The the value will be:= 7 + (2 + 5)
= 7 + 7 = 14
In conclusion, the correct option is 7 + (x + 5).
there are 24 psychiatrists and 30 psychologists attending a certain conference. three of these 54 people are randomly chosen to take part in a panel discussion. what is the probability that at least one psychologist is chosen? what is the probability that exactly three psychologists are chosen?
The probability that at least one psychologist is chosen is 5/9 and the probability that exactly three psychologists are chosen is 16.3.
Total number of Attendants in a certain conference are 54
There are 24 psychiatrists and 30 psychologists
Total number of attendants = 24 + 30= 54.
Therefore total number of cases is 54
1 ) Since there are 30 psychologists, the number of favorable outcomes is 30.
So P ( 30 psychologists) =Number of favorable cases/ Total number of cases
= 30/54
= 5/9.
So probability of at least one psychologist is 5/9.
2 ) If we have to choose 3 psychologist favorable outcomes are
= 30/54 x 29/53 x 28/52
= 1015/6201
= 16.3
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
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a baseball leaves a bat at an angle of 30.0 degrees above the horizontal. the ball strikes a fence that is 100 meters horizontally from the barrier at a height of 5.0 meters above the height of the bat when it struck the ball. what was the speed of the ball as it left the bat?
The speed of the ball as it left the bat is 121.904 ft/s.
What Is Projectile Motion?An item or particle that is projected in a gravitational field, such as from the surface of the Earth, and moves along a curved route while solely being affected by gravity is said to be in projectile motion.A projectile is an object that is launched into the air and moves in that direction. The only force an object experiences after the initial force that launches it is gravity. The trajectory of the object is referred to as the projectile's path.When a particle is thrown obliquely close to the Earth's surface, it travels along a curving route while experiencing constant acceleration. Always pointing in the direction of the Earth's centre is this curving path. Such a particle's motion is referred to as projectile motion, and its trajectory is known as the projectile's trajectory.Here I attached the answer
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3/4x+5=-9? what is the solution
Answer:
x= -18.6666666667
Step-by-step explanation:
[tex]3/4x+5=-9\\ \\3/4x=-9-5\\ \\3/4x=-14\\ \\x= -14 X \frac{4}{3}\\ \\x= \frac{-14 X4}{3}\\ \\x= \frac{-56}{3}\\\\x= -\frac{56}{3}\\\\x= -\frac{56}{3} = -18.6666666667[/tex]
Xy=24
X=y-2
So confusing?
Answer:
X=4 or -6 and y= 6 or -4
(4,6),(-6-4)
Step-by-step explanation:
Xy=24 -------(i)
X=y-2 ---------(ii)
substitute (ii) into (i)
=> (y-2)y=24
y²-2y=24
y²-2y-24=0
(y-6)(y+4)=0
=> y= 6 or y=-4
when y=6;
X=6-2=4
when y=-4;
X= -4-2=-6
Suppose =m∠884°. Find m∠1 and m∠3
Answer: The measure of an angle is the same as the measure of its reference angle in the first or fourth quadrant. Since, m∠884° is in the 8th quadrant, we can use the reference angle in the first quadrant, which is m∠4°.
So, m∠1 = m∠4°
To find the measure of the angle m∠3, we can use the fact that angles in different quadrants that share a terminal side have measures that add up to 180°.
m∠3 = 180° - m∠1
m∠3 = 180° - m∠4°
m∠3 = 180° - 4° = 176°
Therefore, m∠1 = m∠4° and m∠3 = 176°.
Step-by-step explanation:
A picnic basket is shaped like a rectangular prism. The height of the basket is 8 inches. The bottom of the basket has an area of 240 square inches.
What is the volume of the picnic basket?
Enter your answer in the box.
in³
The volume of the picnic basket is 1920in^3.
How to find the volume of a prism?If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross section is same as its base, then its volume is:
[tex]V = B \times h[/tex]
where h is the height of that prism and B is the area of the base of that prism.
Given;
The height of the basket is 8 inches
The bottom of the basket has an area of 240 square inches.
Now,
V=B x h
V= 8 x 240
V= 1920
Therefore, the volume will be 1920in^3
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I don’t understand what the question is
Answer:
just put your mind to it fam
Step-by-step explanation:
Answer:
this is nonsense
Step-by-step explanation:
(4x³ + 23x² + 22x - 10) [tex](x + 2)^{-1}[/tex]
(4x³ + 23x² + 22x - 10) (1 / (x + 2))
(4x³ + 23x² + 22x - 10) / (x + 2)
4x² + 2x³ + 23x + 11.5x² + 22 + 11x - 10/x - 5
2x³ + 15.5x² + 44x - 10/x + 17 ??????
what is the quotient of (x^3+8) divided by x+2
The quotient when (x³ + 8) is divided by (x+2) is (x² - 2x + 4)
What is Polynomials ?A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.
An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
The degree of a polynomial is the highest or biggest exponent of the variable in the polynomial. Using Descartes' Rule of Signs, the degree is used to calculate the greatest number of polynomial problem solutions.
The polynomials are (x³ + 8) and (x+2)
dividing (x³ + 8) by (x+2) we get,
x + 2 ) x³ + 8 ( x² - 2x + 4
- x³ - 2x²
-2x² + 8
2x² +4x
4x + 8
-4x - 8
0
The quotient when (x³ + 8) is divided by (x+2) is (x² - 2x + 4)
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a national survey of 1,000 married couples reported that what percentage of husbands and wives had attacked each other physically in one year?
A recent national survey of 1,000 married couples found that approximately 5% of husbands and 6% of wives admitted to having physically attacked their partner in the past year.
This is a concerning statistic, demonstrating the prevalence of domestic violence in marriages across the United States. It is important that couples learn how to recognize and address any forms of violence in their relationships.
It is also critical that communities and society as a whole recognize the seriousness of domestic violence and take the necessary steps to provide support and resources to help affected individuals and families.
This statistic that shows that 5% or husbands and 6% of wives were admitted due to violence is particularly concerning given the long-term implications of domestic violence in relationships.
To help address this issue, it is important to understand the root cause of these acts of violence and provide appropriate interventions to couples in need.
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What is the factored form of X³ 1?
The factors of the given polynomial as calculated from the given data is found as , (x−1) and (x 2 +x+1) .
The equation given in the question is , x³ - 1 .
On solving this equation we will get the result as ,
x³ −1
=(x−1)(x 2 +x+1)
Therefore, the factors of the given equation is both (x−1) and (x 2 +x+1) .
A quadratic equation factored form is used to find the roots or solutions of the given equation. Example , the factored form of x2 +5x+6 = 0, is x^2 +5 x + 6 = 0 is= 0 (x-2)(x-3) = 0.
When the product of two terms is zero, it signifies that any of them might be zero.
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is 3x - 5=-3 positive negative or zero
Answer:
3x - 5=-3
3x - 5+5=-3+5
3x=2
3x/3=2/3
x=2/3
Positive :D Hope this helped!!
Step-by-step explanation:
Answer:
x is positive.
Step-by-step explanation:
3x - 5= -3 ==> isolate x
3x = 2 ==> add 5 on both sides
x = 2/3 ==> divide 3 on both sides
Hence, x is positive.
please help me with this problem everything is on the image
The table that shows a proportional relationship is Table D.
Please find attached the graph of Table D created with MS Excel
What is a proportional relationshp?The variables x and y in a set of ordered pair (x, y), are proportionally related, when the ratios of the x and y values for of all data points in the set are equivalent, such that a proportional relationship can be expressed in the form; y = k·x
Where;
k = The constant of proportionality
Therefore; k = y/x
The ratio of the y-values to the corresponding x-values in the table that shows a proportional relationship is therefore a constant.
Analyzing the Table C, we get;
The points are; (2, 1), (4, 3), (6, 5), (8, 7)
x/y for each data point is therefore;
1/2 ≠ 3/4 ≠ 5/6 ≠ 7/8
Table C does not show a proportional relationship
The coordinate points in Table D are; (2, 1), (6, 3), (8, 4), (10, 5)
The ratio, x/y at each point in the table are therefore;
1/2 = 3/6 = 4/8 = 5/10 = 1/2
The ratio, x/y at each point in the table is constant, therefore, Table D ahows a proportional relationship.
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HEEEEELP PLEAAAASE
ahmed is four years older than Tamir. Together they are 36 years old. How old is Ahmed?
Answer:
We know that the total age of both kids is 36
we also know that Ahmed is 4 years older than Tamir.
To find the answer we will first divide 36 by 2
36/2 = 18
Now we will subtract 4 from 18 and we get 14
lastly, subtract 14 from 36
36 - 14 is 22
Hence, Ahmed is 22 while Tamir is 14
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The teacher gave a true and false quiz where P(true) = 0.5 for each question. Interpret the likelihood that the first question will be true.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
The likelihood that the first question will be true, given the true and false quiz is C. Equally likely and unlikely.
How to find the likelihood ?The likelihood that the first question will be true will be based on the probability that each question is true or false. This simply means that to solve the question, you need to look at the probability given of a question being true.
That probability is given as P ( true ) = 0. 5 which means that the probability of a question being true is 50%.
The probability is therefore equally likely or unlikely as 50 % is the median probability.
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Answer: C: Equally likely and unlikely.
Step-by-step explanation:
12 people can fit in a room that is 9 feet by 4 feet. How many people will fit
in a room that is 12 yards by 3 yards?
12 persons will fit in a 6 feet by 6 feet space.
As per the data given in the above question are as bellow,
12 persons can fit in a room that is 9 feet by 4 feet.
We have to find how many people can fit in a 6' by 6' room.
Solving further we get,
Surface area of a 9 x 4 ft. room is equal to 9 x 4.
Surface area of a 9 by 4 foot space is equal to 36 feet2.
So,
Surface area of a room measuring 6 by 6 feet is 6 x 6.
A 6 by 6 foot room's surface area is 36 feet2.
The two rooms' floor space is equal. hence, the population is equal.
12 persons will fit in a 6 feet by 6 feet space.
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Which measurement is closest to the value of y in units?
The measurement is closest to the value of y in units is 14.808. there was calculate by using trigonometry.
What is meant by trigonometry?The area of mathematics that deals with particular angles' functions and how to use them in computations. Six functions of an angle are frequently used in trigonometry. They go by the names and acronyms sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (CSci). A subfield of mathematics called trigonometry studies how angles and length ratios relate to one another. Applications of geometry to astronomical research led to the field's development in the Hellenistic civilization throughout the third century BC. Numerous useful examples of calculus applications can be found in trigonometry. By the way, basic trigonometry primarily deals with the algebraic properties of circular functions, whereas basic calculus does not deal with these qualities. Contrarily, calculus is fundamentally non-algebraic in nature.Given:
Z = 12
Using trigonometry
tan51 = P/X
1.234 = P/ 12
P = 12 x 1.234
P = 14.808.
Hence, the measure of y is 14.808.
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(3a + 18c) ÷ b²??HELP
Answer:
[tex] 3\bigg( \dfrac{a}{b^2}+\dfrac{6c}{b^2}\bigg) [/tex]
Step-by-step explanation:
Here we have ,
[tex]\sf\longrightarrow \dfrac{3a+18c}{b^2} [/tex]
This can be written as ,
[tex]\sf\longrightarrow \dfrac{3a}{b^2}+\dfrac{18c}{b^2} [/tex]
You can take out 3 as common,
[tex]\sf\longrightarrow 3\bigg( \dfrac{a}{b^2}+\dfrac{6c}{b^2}\bigg) [/tex]
We can't simplify this any further. Hope this helps!
What is the opposite of -2/5
Answer: The opposite of a number is the number that, when added to it, equals zero. In this case, the opposite of -2/5 is 2/5. When you add -2/5 and 2/5, the result is 0.
Step-by-step explanation:
This should help youAnswer: 2/5
Step-by-step explanation: If it’s negative you change it, if it’s positive you keep the number the same so in this question the fraction 2/5 is negative so the opposite of -2/5 is 2/5.
5x + 6 = 2x – 3 help
Answer:
x=-3
Step-by-step explanation: 5x+6=2x-3
Answer:
x = -3
Step-by-step explanation:
5x + 6 = 2x - 3
Subtract 2x + 6 on both sides,
5x + 6 - (2x+6) = (2x-3) - (2x + 6)
3x = -9
x = -3