Let the number be [tex] \rm x [/tex]
Given ;4 less than < 6 times a number = 73
A/Q
Equation forms ➝[tex] \rm\implies \: 6x - 4 = 73 \\ \rm \implies \: 6x = 73 + 4 \\ \rm \implies \: 6x = 77 \\ \rm \implies \: x = \frac{77}{6} \\\\ \rm \therefore x = 12.83 [/tex]
Now, let's check it whether the value is correct or not.
{ Use BODMAS rule here }
BracketofdivisionmultiplyadditionsubtractionNow come to the point [tex]\red ✓[/tex]
➝ 12.83 × 6 - 4 = 73
➝ 76.98 - 4 = 72.98 which is equal to 73.
As we know that if after decimal number exceeds 5 it is converted to its next number.
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Hope this helps you mate ✅
Have a cheerful evening ☺️
What is the value of the discriminant in the quadratic equation 2x² 5x 3 0?
The value of the discriminant in the quadratic equation 2x² 5x + 3 = 0 is 1.
The discriminant of a quadratic equation is the expression under the square root sign in the quadratic formula. It is used to determine the number and type of solutions for the equation. In the case of the equation 2x² 5x + 3 = 0, the discriminant can be found by using the quadratic formula and substituting the values for a, b, and c. The formula is given by b² - 4ac, where a = 2, b = 5 and c = 3. So the discriminant is then 5² - 4(2)(3), which is equal to 1. This means that the equation has a single real solution, which is -1.
Discriminant = b² - 4ac
= 5² - 4(2)(3)
= 1
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Paul's batting scores for cricket in a season are 17, 23, 9, 0, 8, 21 and 12.
Calculate Paul's mean score to the nearest whole number.
Based on Paul's batting scores for cricket in a season, his mean score to the nearest whole number is equal to 13.
What is a mean?In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the mean for the set of scores?Mathematically, the mean for this set of scores can be calculated by using the following formula:
Mean = [F(x)]/n
For the total scores, we have;
F(x) = 17 + 23 + 9 + 0 + 8 + 21 + 12
F(x) = 90.
Now, we can determine the mean score as follows;
Mean score = 90/7
Mean score = 12.86 ≈ 13.
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What are the first 3 consecutive odd numbers?
The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.
Consecutive numbers are those that always appear in the same order, from smallest to largest.
For instance:
The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.
consecutive odd numbers:
Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."
Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.
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- use the distributive property to rewrtie each expression -6(r- 8)1)
Answer:
-6r+48
Step-by-step explanation:
The answer above is what you end up when you use distributive property.
The formula for the cot of buying a car i cot = 12 x monthly payment depoit. The cot of a car i 8000. Find the monthly payment when the depoit i 2600
The monthly payment amount is (8000 - 2600) / 12 = $500.
1. The cot of a car is given as 8000. The depoit is given as 2600.
2. The formula for the cot of buying a car is cot = 12 x monthly payment depoit.
3. To find the monthly payment, we can rearrange the formula to monthly payment = (cot - depoit) / 12.
4. Substituting in the values, we get monthly payment amount = (8000 - 2600) / 12 = $500.
The cost of a car can be calculated using a simple formula. The formula is cot = 12 x monthly payment deposit. In this case, the cost of the car is given as 8000 and the deposit is given as 2600. To find the monthly payment, we can rearrange the formula to solve for the monthly payment amount. This gives us the equation monthly payment = (cot-deposit)/12. When we plug in the given values, we get monthly payment = (8000-2600)/12 = $500. This means that the monthly payment amount for this car is $500.
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maddy had a piece of ribbon that was 3 1/2 yards long each bow was made from a piece of the ribbon that was 3/4 yard long how many bows can Maddy make
Step-by-step explanation:
this is answered by "how often does 3/4 fit into 3 1/2 ?".
and that is what division is for :
3 1/2 / 3/4
(3×2 + 1)/2 / 3/4
7/2 / 3/4 = (7×4)/(2×3) = 28/6 = 14/3 = 4 2/3
Maddy can make 4 bows.
and she has some tape left, but not enough to make a 5th.
Which factor mut a producer conider when deciding what good to upply? check all that apply
Factors that are needed to be considered by producer when deciding on the kind of good to supply are :
1) The supply of a good's flexibility.
2)There is rivalry in the market.
3)The capacity to efficiently generate the good
What is the importance of supply of goods in market?
Supply is crucial because it ensures that there is sufficient production of the items needed to keep up with consumer demand. Typically, the price of that commodity will rise if supply is less than demand. This supply schedule, or curve, establishes the quantity of an item that is produced at a given price.
Applies to be checked are:
1) A producer must first conduct market research by taking into account a number of Factor before he can supply a good.
2) One of the most important factors to take into account is competition because when there is a lot of it, sales may not be as high.
3) Reliable production How are you going to stand out if the goods, given that there are so many competitors?
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Supply is crucial because it ensures that there is sufficient production of the items needed to keep up with consumer demand. Typically, the price of that commodity will rise if supply is less than demand. This supply schedule, or curve, establishes the quantity of an item that is produced at a given price.
Applies to be checked are:
A producer must first conduct market research by taking into account a number of Factor before he can supply a good.
One of the most important factors to take into account is competition because when there is a lot of it, sales may not be as high.
Reliable production How are you going to stand out if the goods, given that there are so many competitors?
Which system is equivalent to startlayout enlarged left-brace 1st row y = negative 2 x squared 2nd row y = x minus 2 endlayout?.
The required inverse of the given function is expressed as [tex]y=\sqrt{\frac{x+10}{7} }[/tex]
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
Replacing y with x
x = 7y² – 10
Making y the subject of the formula:
7y² = x+ 10
Dividing both sides by 7
7y²/7 = (x+10)/ 7
y² = (x+10)/ 7
Taking the square root of both sides
[tex]\sqrt{y^{2} } =\sqrt{\frac{x+10}{7} }[/tex]
[tex]y=\sqrt{\frac{x+10}{7} }[/tex]
Hence the required inverse of the given function is expressed as [tex]y=\sqrt{\frac{x+10}{7} }[/tex]
Complete question:
Which equation is the inverse of y = 7x² – 10
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How do you use slope to determine if a line is parallel or perpendicular and solve problems?
Lines that have the same slope are said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are merely intersecting lines.
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
m = Δy/Δx = dy/dx = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
A line's slope often indicates the steepness and direction of the line.
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m = Δy/Δx = dy/dx = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
grass clippings are placed in a bin
Throughout the reflection, make sure you have a copy of the student guide. in your experiment, you tested this prediction:
prediction: rna determines the sequence of amino acids in proteins and polypeptides by a two-step process: transcription of dna produces mrna in the nucleus, then translation of the mrna to trna takes place in the ribosome in the cytoplasm. you transcribed dna to make and built a sequence of amino acids through:____.
The two-step process of how RNA determines the sequence of amino acids in proteins and polypeptides begins with transcription.
During transcription, DNA is copied into messenger RNA (mRNA) in the nucleus. mRNA consists of codons that are read in triplets to code for specific amino acids. The codons are then translated into transfer RNA (tRNA) in the ribosome located in the cytoplasm. tRNA is made up of anticodons, which are complementary to the codons of mRNA. The anticodons of tRNA bind to the codons of mRNA, forming a codon-anticodon pair. This codon-anticodon pair carries the amino acid that corresponds to the codon of mRNA. This carried amino acid is then added to a growing polypeptide chain.
The process is summarized by the following formula: DNA → mRNA → tRNA → Polypeptide. DNA is first transcribed into mRNA. The codons of mRNA are then translated into the anticodons of tRNA, which carry the corresponding amino acid. Finally, the amino acid is added to the polypeptide chain, forming a protein. This two-step process of transcription and translation is how RNA determines the sequence of amino acids in proteins and polypeptides.
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Answer: mRNA, Translation
Step-by-step explanation: trust me bro
A point is plotted on a number line at −4.8 A second point is plotted at 6.3.
What is the length of the line segment joining these points?
pls someone answer i will give brainlist
What is 4 called in math?
In mathematics 4 is called a numerical term or a number.
What are numerical terms?A mathematical expression is a combination of two or more terms along with operator or symbols. Here, term defines the numbers and variables. variables are denoted by alphabets. When an expression contains only numbers and symbols then it is called numerical expression.
As example 1024 + 234 is a numerical expression.
What is 4 called in math?4 is a whole number. In a mathematical expression 4 is a numerical term.
A numerical term can be acted as a constant or coefficient depending on the types of expression given.
Suppose we have an expression 2x + 3Y - 4 in where 4 is a number act as a constant term. In the other hand, we imagine an expression
16z- 3y + 4x -10 in where 4 is a number accompanied by variable x so 4 is the coefficient of x.
If we write a linear equation, y = 4X + 5
here, 4 is the slope of equation
Whenever we write a square root of √16
we get 4
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f(x) = x² + 6x + 7; Find f(0)
Answer: f(0) = 7
Step-by-step explanation:
f(x) = x² + 6x + 7
f(0), we just need to put 0 in for all the x
f(0) = 0^2 + 6(0) +7
f(0) = 0 + 0 + 7
f(0) = 7
suppose that for a certain coastal city, in any given year the probability of a major hurricane hitting is 0.5, the probability of flooding is 0.3, and the probability of both a major hurricane and flooding is 0.2. what is the probability of flooding given that a major hurricane hits?
Using the concept of conditional probability and using the values provided, The answer is 0.4.
What do you mean by probability?Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood of various outcomes.
What do you mean by conditional probability?The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.
p(h)=0.5
p(f)=0.3
p(h ∩ f) = 0.2
p(f/h) = p(h ∩ f) / p(h)
=0.2/0.5
=0.4
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What is difference between transform and fit transform?
The difference between transform and fit_transform is that transform() method is used to perform scaling whereas fit_transform does both the fitting and the transforming in one step.
In this question we need to describe the difference between methods transform() and fit_transform()
We know that the methods like transform(), and fit_transform() provided by the scikit-learn package.
Both are the methods of class sklearn.preprocessing.StandardScaler()
The transform() method is used to perform scaling using mean and standard deviation which is calculated using the .fit() method.
The fit_transform() method does both fits and transform i.e., fit_transform() calculates the mean and standard deviation for a given feature and also perform scaling.
Therefore, transform() changes the data and fit_transform does both the fitting and the transforming in one step.
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anybody has the answers???
The coordinate pairs that represent possible solutions to the inequality graph are;
(4, 4)
(0, 0)
What is the solution to the inequality graph?When it comes to inequality graphs, the shaded portion usually contains all the possible coordinates that represent solutions to the given inequality.
Now, from the inequality graph, we say that the shaded part is below the line and so our possible solutions will be located in that direction.
Thus, the possible solutions from the graph are the coordinates;
(-5, -5), (-4, -4), (-3, -3), (-2, -2), (-1, -1), (0,0), (1, 1), (2, 2), (3, 3), (4, 4)
Lookin at the given options, the only ones that are possible solutions are options B and E.
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man runs for an hour and a half at 8 miles an hour due south. he then continues south on a bus traveling at 55 miles an hour for 24 minutes. how far d
A man runs for an hour and a half at 8 miles an hour due south. he then continues south on a bus traveling at 55 miles an hour for 24 minutes. He will traveled 34 miles.
He covered 8 miles the first hour, and then half of that in his next half hour,
So, 8+4 = 12 miles.
The bus took 24 minutes, which is [tex]\frac{2}{5}[/tex] of an hour.
[tex]\frac{60}{5} = 12[/tex]
So, after 12 minutes on the bus, he travelled [tex]\frac{55}{5} = 11[/tex] miles
And after 24 minutes, 22 miles.
In total 12+22=34 miles.
Speed(v) is related to distance(d) and time(t) by
v= [tex]\frac{d}{t}[/tex].
Equivalently, d= v×t
So, d= 8×1.5+55×24×[tex]\frac{1}{60}[/tex]
= 34 miles.
Therefore, he traveled 34 miles.
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jason was riding his bicycle, making deliveries on his newspaper route. He had no less than 12 newspapers left to deliver. Which number line represents this scenario?
number line with closed circle at point 12, shaded to the left
number line with open circle at point 12, shaded to the left
number line with open circle at point 12, shaded to the right
number line with closed circle at point 12, shaded to the right
Answer:
number line with a closed circle at point 12, shaded to the left
Step-by-step explanation:
Because it say he had no less than 12 newspapapers
Which mean he had smaller than or equal to 12 nnewspapapers
Because there is equal, so it will be a close circle, and shaded to the left because it is less than !
the average daily rainfall for the past week in the town of hope cove is normally distributed, with a mean rainfall of 2.1 inches and a standard deviation of 0.2 inches. if the distribution is normal, what percent of data lies between 1.9 inches and 2.3 inches of rainfall?
The percentage of data that falls between 1.9 inches and 2.3 inches of rainfall is roughly (D) 68% if the distribution is normal.
What is the percentage?In essence, percentages are fractions with 100 as the denominator.
We place the percent symbol (%) next to the number to indicate that the number is a percentage.
For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
So, we determine each's z-score:
z-score = (x-mean)/SD
z1 = (1.9-2.1)/0.2 = -1
z2 = (2.3-2.1)/0.2 = 1
Then, the percentage we want to determine is:
P(-1<x<1)
For this, we utilize the normal scoring table:
P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269
= 68%
Therefore, the percentage of data that falls between 1.9 inches and 2.3 inches of rainfall is roughly (D) 68% if the distribution is normal.
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Complete question:
The average daily rainfall for the past week in the town of Hope Cove is normally distributed, with a mean rainfall of 2.1 inches and a standard deviation of 0.2 inches. If the distribution is normal, what percent of data lies between 1.9 inches and 2.3 inches of rainfall? a) 95% b) 99.7% c) 34% d) 68%
Solve by completing the square : x^2+4x-7=0 and 2x^2+8x-1=0
By completing the squares we will see that the solutions are:
a) For 2x^2 + 8x - 1 = 0:
x = -2 ±√4.5
b) For x^2+4x-7 = 0
x = ±√11 - 2
How to complete squares?Remember that the perfect square trinomial is:
(a + b)^2 = a^2 + 2ab + b^2
The first quadratic equation is:
2x^2 + 8x - 1 = 0
Dividing by 2 we get:
x^2 + 4x - 1/2 = 0
We can rewrite this as:
x^2 + 2*2*x - 1/2 = 0
Adding and subtracting 2^2 = 4, we get:
x^2 + 2*2*x + 4 - 4 - 1/2 = 0
(x + 2)^2 - 4 - 1/2 = 0
(x + 2)^2 = 4.5
Now we can solve this:
x + 2 = ±√4.5
x = -2 ±√4.5
These are the two solutions.
The other quadratic equation is:
x^2+4x-7 = 0
We can rewrite this as:
x^2 + 2*2*x - 7 = 0
Again, add and subtract 4 to get:
x^2 + 2*2*x + 4 - 4 - 7 = 0
(x + 2)^2 = 11
Solving this we get:
x = ±√11 - 2
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Enter the equation of the following using line in slope-intercept form.
slope = 0; y-intercept is 4
Answer:
y=4
Step-by-step explanation:
slope doesn't exist
so y=0x+4 >>>>> y=4
Write the equation of the line represented by y=−2/3x+4 in standard form.
The equation y = (-2/3)x + 4 in standard form is 2x + 3y = 12.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
y = (-2/3)x + 4
The equation of a line in standard form is ax + by = c
Now,
y = (-2/3)x + 4
3y = -2x + 12
Adding 2x on both sides.
2x + 3y = 12
Thus,
The equation in standard form is 2x + 3y = 12.
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Is there a mode formula?
There is a mode formula, that is Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)] * h
Where,
l = lower limit of the modal class
h = size of the class interval
f₁ = frequency of the modal class
f₀ = frequency of the class preceding the modal class
f₂ = frequency of the class succeeding the modal class
What is mode?The value that consistently appears in a given set is the mode. The mode or modal value in a data set is sometimes referred to as the value or number that occurs most frequently in the data set. In addition to mean and median, it is one of the three measures of central tendency.
A mode is described as the value in a group of values that occurs more frequently. The value that appears the most frequently is this one.
To find the mode we use the formula Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)] * h
Where,
l = lower limit of the modal class
h = size of the class interval
f₁ = frequency of the modal class
f₀ = frequency of the class preceding the modal class
f₂ = frequency of the class succeeding the modal class
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What is the slope of the line whose equation is 3x 2y 10?
For the given function 3x + 2y = 10 the slope of the function is equal to -3/2.
As given in the question,
Given function is equal to 3x + 2y = 10
Standard form of the equation representing slope intercept form is given by :
y = mx + c
'm' is the slope of the given function
'c' is the value of y-intercept of the given function.
Now simplify the given function 3x + 2y = 10 in standard form ,
3x + 2y = 10
⇒2y = -3x + 10
⇒ y = 1/ 2(-3x + 10 )
⇒ y = -3/2x + 5
Compare with the standard form of the equation ,
Slope of the given function is m = -3/2.
Therefore, for the given function 3x + 2y = 10 the slope of is given by
m = -3/2.
The given question is incomplete , the complete question is:
What is the slope of the function 3x + 2y = 10?
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8.
At Friday's Football game, 1,294 tickets were sold for a total amount of $8,816.00. IF
each student ticket costs $5.00, and each adult ticket costs $8.00, how many
student tickets were purchased?
Answer: 3,385.00
Step-by-step explanation: To find the number of student tickets sold, we need to first figure out the total number of tickets sold at the football game. We can do this by dividing the total amount of money collected by the cost of each ticket. In this case, we have:
Total number of tickets = 8,816.00 / (5.00 + 8.00)
= 8,816.00 / 13.00
= 677.5
Since the total number of tickets sold must be an integer, we can round this number down to 677. This means that 677 student tickets were sold at the football game.
We can verify this answer by calculating the total amount of money collected from the student tickets and checking that it is equal to the total amount collected at the game:
Total amount collected from student tickets = 677 * 5.00
= 3,385.00
Since the total amount collected from the student tickets is less than the total amount collected at the game, we know that this is the correct answer.
find the volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48
The volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48 is 384.
In the given question, we have to find the volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48.
Cut by a plane at x = x(0) = constant, then z= 48-6x-8y while you are moving with y at x=x(0) constant
At this plane (x = x(0)), an element of area will be dA = z dy and an element of volume dV = dA dx
So , V = [tex]\int\int zdydx[/tex]
v = [tex]\int_{0}^{8}\int_{0}^{(48-6x)/8}(48-6x-8y)dy.dx[/tex]
v = [tex]\int_{0}^{8}[48y-6xy-4y^2]_{0}^{(48-6x)/8}dx[/tex]
v = [tex]\int_{0}^{8}[48\times((48-6x)/8)-6x\times((48-6x)/8)-4((48-6x)/8)^2-0]dx[/tex]
v = [tex]\int_{0}^{8}[9/4(x-8)^2]dx[/tex]
Let u = x-8
v = [tex]9/4\int_{0}^{8}(u)^2[/tex]
v = [tex]9/4\left[\frac{(u)^3}{3}\right]^{8}_{0}[/tex]
v = [tex]3/4[(x-8)^2]_{0}^{8}[/tex]
v = 3/4[(8-8)^3+(0-8)^3]
v = 3/4[0-(-512)]
v = 384
The volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48 is 384.
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What is the nature of the roots in the equation x² 6x 9 0?
The roots of this quadratic equation are real and equal.
given equation:
[tex]x^{2}[/tex] - 6x + 9 =0
now we need to find discriminant
discriminant = D = [tex]b^{2}[/tex] - 4ac
from the given equation
a = 1
b = -6
c = 9
D = [tex](-6)^{2}[/tex] - 4(1)(9)
= 36 - 36
D = 0
1. [tex]b^{2}[/tex] - 4ac < 0 there roots are imaginary
2. [tex]b^{2}[/tex] - 4ac = 0 there roots are real and equal
3. [tex]b^{2}[/tex] - 4ac >0 there roots are real and distinct
The roots of this quadratic equation are real and equal.
A quadratic equation is graphically represented by a parabola with vertex located at the origin , below the x-axis , or above the x-axis . Therefore , a quadratic function may have one ,two or zero roots.
If the quadratic function is always more than zero that means, when graphed on coordinate system, the function never have intersects the
x-axis. That means that quadratic equation has no real roots.
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What does it mean when you regroup?
What is the example of Triangle Inequality theorem 2?
The example of Triangle inequality theorem 2 is 4 + 8 = 12, which is less than 15 in total. Triangle Inequality Theorem is not satisfied by this set of side lengths.
What is meant by triangle inequality ?According to the triangle inequality, the lengths of any two sides of any triangle must add up to at least the length of the third side. Triangle inequality, often known as a + b c, is a theorem in Euclidean geometry that states that the sum of any two triangle sides must be greater than or equal to the third side. The basic tenet of the theorem is that a straight line connects any two places. That is what the Triangle Inequality Theorem says.To learn more about triangle inequality refer to:
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