In algebra, a symbol is used to denote an unknown numerical value in an equation or algebraic expression.
What is meant by variables?A variable in mathematics is a letter that is substituted for an unknown integer in equations, expressions, and formulas.
An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. A variable is, to put it simply, a quantity that may be altered and is not fixed.
The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.
A.) (x) ≈ 0.572[tex]$$x^4[/tex] − 15.63x³ + 146.273x² − 523.325x + 687.334
Approximately 203 automobiles were produced in 2007, according to estimates.
B.) f(x) ≈ 0.423x³ − 12.463x2 + 123.485x − 223.309
Approximately 178 automobiles were produced in 2007, according to estimates.
C.) f(x) ≈ 0.572[tex]$$x^4[/tex] + 15.63x³ − 146.273x² − 523.325x + 687.334
Approximately 203 automobiles were produced in 2007, according to estimates.
D.) f(x) ≈ 0.423x³ + 12.463x² − 123.485x + 223.309
Approximately 178 automobiles were produced in 2007, according to estimates.
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Number of cars manufactured in 2007 will be equal to 178 or 203 based on quartic model.
What is meant by variables?A variable in mathematics is a letter that is substituted for an unknown integer in equations, expressions, and formulas.
An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. A variable is, to put it simply, a quantity that may be altered and is not fixed.
The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.
A.) (x) ≈ 0.572 − 15.63x³ + 146.273x² − 523.325x + 687.334
Approximately 203 automobiles were produced in 2007, according to estimates.
B.) f(x) ≈ 0.423x³ − 12.463x2 + 123.485x − 223.309
Approximately 178 automobiles were produced in 2007, according to estimates.
C.) f(x) ≈ 0.572 + 15.63x³ − 146.273x² − 523.325x + 687.334
Approximately 203 automobiles were produced in 2007, according to estimates.
D.) f(x) ≈ 0.423x³ + 12.463x² − 123.485x + 223.309
Approximately 178 automobiles were produced in 2007, according to estimates.
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Forty-five students and parents attended a career fair on Tuesday. The number of students that attended was 5 more than twice the number
of parents in attendance. Write a system of equation to model the situation.
Answer:
p + s = 45
s = 2p + 5
Step-by-step explanation:
Let s = number of students.
Let p = number of parents.
p + s = 45
s = 2p + 5
Please help quickly
Nova wants to measure the height of a tree. She asks her brother Caden to stand so that the
tip of his shadow coincides with the tip of the tree’s shadow. She stands at the tip of Caden’s
shadow. Caden, who is 1.2 meters tall, is 4.2 meters from Nova and 6.5 meters from the tree.
The tree is ___ meters high. Round your answer to the nearest tenth and write it as a decimal.
Answer:
The tree is 9.1 meters high.
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this problem. Let T be the height of the tree. We can set up the following equation:
4.2^2 + T^2 = 6.5^2
Solving for T, we get:
T = sqrt(6.5^2 - 4.2^2)
T = sqrt(41.25 - 17.64)
T = sqrt(23.61)
T = 4.878
Since the height of the tree is measured to the nearest tenth, we can round this value to 9.1 meters.
Which of the following is the graph of f(x) = x2 + 3x − 4?
Answer:
2nd graph
Step-by-step explanation:
Given
f(x) = x² + 3x - 4
To find the zeros let f(x) = 0 , that is
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
The only graph with zeros at x = - 4 and x = 1 is the 2nd graph
Second graph is a required answer
PLLLLLZZZ HELP ME
A restaurant needs a block of ice that is exactly 480 cubic inches in volume.
The height of the ice block must be 10 inches.
Part A
What does the area of the base of the ice block need to be for the
given volume and height? Enter your answer in the box.
Answer:
Part A: 48in^2
Part B: 4in by 12in, 8in by 6in, and 3in by 16in
Step-by-step explanation:
Volume/height is the area of the base:
480/10 = 48in^2
Any two numbers that multiply to 48 are possible dimensions of the block:
4*12, 8*6, 3*16
Which is the dependent and which is independent please no links will give brainliest
Is there an AAA similarity?
The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that "If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or percentage) and consequently the two triangles are similar".
A triangle is a closed two-dimensional shape or polygon with the fewest sides in mathematics. A triangle is made up of three sides and three angles. The most significant attribute of a triangle is that the sum of its internal angles equals 180°.
Conditions for Triangle Similarity
If the corresponding angles of two triangles are identical, they are said to be comparable triangles.
If their respective sides have the same proportion/ratio.
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The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with a half-life of approximately 666 hours. That is, every 666 hours, the amount of caffeine in the body decreases by 50\PP, percent. Charlotte wants to go to sleep at 11\,\text{pm}11pm11, start text, p, m, end text and does not want more than 202020 milligrams (\text{mg})(mg)(, start text, m, g, end text, )of caffeine in her system at that time. What is the latest time Charlotte can drink a 222-ounce shot of espresso that contains 80\,\text{mg}80mg80, start text, m, g, end text of caffeine
The half-life of caffeine in the body is approximately 5-6 hours, not 666 hours. Given this information, we can calculate the latest time Charlotte can drink a 222-ounce shot of espresso that contains 80mg of caffeine and still have no more than 2020mg of caffeine in her system at 11pm.
What does math's % mean?
In essence, percentages are fractions with a 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).
We know that after 5-6 hours, the amount of caffeine in the body decreases by 50%. Therefore, in 11 hours, the amount of caffeine in the body would decrease by approximately 87.5%.
If we let x be the number of hours before 11pm that Charlotte can drink the espresso, then the amount of caffeine in her body at 11pm would be:
80mg * (1 - (87.5% ^ (x/5-6))) = 2020mg
Solving for x, we find that the latest time Charlotte can drink the espresso is approximately 6:30pm.
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solve please im gonna fail
Answer:
The two little blue boxes are going
Step-by-step explanation:
Lets start with the 0s.
Two zeros is 0. so its
_ _ _ _ 0.
Now we add 2 and 0 which is 2.
_ _ _ 2 0
now we add 6 and 4, which is 10. We have to put the 1 above the 7 and 5 and we are going to put 0 down below
_ _ 0 2 0
now we are going to add 7 +5, but dont forget the 1! Its going to be 13. Put the 3 down below and put the 1 above the 2!
_ 3 0 2 0
Now its 2 + 1 which is 3
your answer is
33020
Is this right?
If not please help me understand or tell me the answer.
=========================================
Explanation:
L = 6 inches = length
W = 3 inches = width
H = 5 inches = height
----------------------
V = volume
V = L*W*H
V = 6*3*5
V = 90 cubic inches is the volume
----------------------
SA = Surface Area
SA = 2*(LW + LH + WH)
SA = 2*(6*3 + 6*5 + 3*5)
SA = 126 square inches is the surface area
-----------------------
Unfortunately there isn't enough information to know the material cost. Please post the full problem, and any other relevant information connected to this question.
PLEASE HELP ASAP!! will mark!find the zeros of the function. no links
the answer is x=-1 or x= 5
Andrew grew 4 1/3 inches during a 3 1/2 month growth spurt. If his growth spurt continued at the same rate, how much did he grow in one month
If his growth spurt continued at the same rate Andrew will grow 26/7 inches per month during that growth spurt.
Describe age calculation.To calculate someone's age, you would subtract their birth year from the current year. For example, if someone was born in 1995 and it is now 2020, their age would be calculated as 2020 - 1995 = 25 years old.
If you have a birthdate, you can use a date calculator to find the exact age in years, months and days.
It's also important to note that, if the person's birthday hasn't occurred yet in the current year, you would subtract the birth year from the current year minus one.
We can start by converting the mixed number 4 1/3 to an improper fraction by multiplying the whole number by the denominator and adding the numerator: 4 x 3 + 1 / 3 = 13/3
To find out how much Andrew grew per month, we need to divide the total growth by the number of months.
13/3 inches / 3 1/2 months = (13/3) / (7/2) = (13/3) x (2/7) = 26/7 inches/month.
So, Andrew grew 26/7 inches per month during that growth spurt.
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Help me it’s math, will Mark brainly
Answer:
B
Step-by-step explanation:
Jon wanted to solve this problem: Given that sin 0=1/4, what is the value of cos 0? What did he do wrong?
Answer:
Step 2 is wrong
Step-by-step explanation:
[tex](Sin Ф )^{2}[/tex]= [tex](1/4)^{2}[/tex] = 1/16
On a coordinate plane, a line is drawn from point L to point M. Point L is at (negative 4, 8) and point M is at (4, 8).
The rule DO,0.25 (x, y) → (0.25x, 0.25y) is applied to the segment LM to make an image of segment L'M', not shown.
The coordinates of L' in the image are
.
The coordinates of M' in the image are
.
The length, L'M', is
.
The slope of the original segment and dilated segment are
.
Answer:
L' = (-1,2)
M' = (1,2)
L'M' = 2
The slope of the original segment and dilated segment are both zero
Step-by-step explanation: just did it on edge!
a wall is measured as 5m to the nearest metre find the actual length and the percentage error
Actual length is 5.5m and percentage error is 20%.We can find by using percentage error formula.
What do you mean by percentage error?Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words the percent error is the relative error multiplied by 100.
How do we calculate percentage error?Subtract the actual value from the estimated value.And then divide the results with the real value. Multiply the results by 100 to find the total percentage.The formula represent it as a percentage of the exact value.Percent error = |Approximate value – Exact Value|/Exact value * 100.
Now we find
wall is measured 5m to the nearest so
approximate value= 4.5
actual value =5.5
putting value in the formula
Percentage error = 5.5- 4.5/5 *100
= 20%
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Determine how to translate triangle A'B'C' back to triangle ABC. *
T<2,-5>
T<-2,-9>
T<2,-9>
T<5,2>
Answer:
Option 3
Step-by-step explanation:
From the graph attached,
Coordinates of point A → (6, -2)
Coordinates of point A' → (4, 7)
Let the point A' is shifted by 'h' units horizontally and 'k' units vertically,
Rule that defines the translation,
A'(x, y) → A(x + h, y + k)
By this rule,
A'(4, 7) → A(4 + h, y + 7)
Since, coordinates of point A are (6, -2),
Therefore, (4 + h) = 6
h = 2
And y + 7 = -2
y = -9
Therefore, Rule of the translation will be,
[tex]T_{(2, -9)}[/tex]
Option 3 will be the answer.
In which quadrant is the coordinate pair (-3, -4) located?
Answer:
3rd
Step-by-step explanation:
because both points are negative
If there are 30 adults at a party and 21 kids at a party what is the fraction of adults at the party
Answer:
i think its 70 percent maybe
Answer:
72 fraction if polygon are expectations but when you divide it it will sepetate to 70 and add the 2 angles so it would be (72)
Step-by-step explanation:
HOPE IT HELPS!!
50PTS 50PTS 50PTS [D•O•N•T E•X•P•L•A•I•N]
Answer:x=20
Step-by-step explanation:5x+9 and 3x+11 must add to 180, so you can set these equal to 180 and get 8x+20 = 180, this can be simplified to 8x=160 or x = 20
Answer:
x = 20°
Step-by-step explanation:
Given angles,
→ 5x + 9
→ 3x + 11
Forming the equation,
→ (5x + 9) + (3x + 11) = 180°
{Because, sum of two angles in a straight line leads to 180°}
Now the value of x will be,
→ (5x + 9) + (3x + 11) = 180°
→ 5x + 3x + 9 + 11 = 180°
→ 8x + 20 = 180°
→ 8x = 180° - 20
→ x = 160/8
→ [ x = 20° ]
Hence, the value of x is 20°.
help me please and thank you to the ones who help im really happy!
Answer:
x = 20
Step-by-step explanation:
180 - 135 = 45
115 + 45 + x = 180
160 + x = 180
180 - 160 = x
x = 20
Have a nice day!
There are 260 eighth grade students at South Whitenardh middle school. All right grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 14 more than twice the number taking art classes. Write an equation to represent the total number of eight grade students
178 students taking a music class and 82 students taking an art class
There was no clear question, but I'm assuming you want to know how many students are enrolled in music and painting classes.
Let x= the number of children enrolled in art classes.
number of children enrolled in music classes: 2x + 14
The overall number of children will be 260, including all of these children.
x+2x+14 = 260
3x=246 x=82 pupils attend an art lesson.
To find people taking music classes, enter x to 2x+14.
2(82)+14 = 178
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The complete question would be;
There are 260 eighth-grade students at South Whitemarsh Middle School. All eighth-grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 14 more than twice the number taking art classes.
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, On Tuesday, the baker makes a total of 60 muffins how many muffins did she make on tuesday
The number of blueberry muffins the baker makes on Tuesday is given by the equation A = 24 blueberry muffins
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of blueberry muffins the baker makes be A
Now , the equation will be
The total number of muffins the baker makes on Tuesday = 60 muffins
The percentage of blueberry muffins = 40 %
So ,
The number of blueberry muffins the baker makes A = total number of muffins the baker makes on Tuesday x percentage of blueberry muffins
Substituting the values in the equation , we get
The number of blueberry muffins the baker makes A = 60 x ( 40/100 )
On simplifying the equation , we get
The number of blueberry muffins the baker makes A = 60 x 0.4
The number of blueberry muffins the baker makes A = 24 blueberry muffins
Therefore , the value of A is 24
Hence , the number of muffins is 24
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Evaluate the expression below using a=12 and b=11"
8a + 6b
Answer:
162
Step-by-step explanation:
8x 12 + 6x 11 = 162
Let U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50} A = {5, 10, 15, 20, 25} B = {25, 30, 35, 40, 45} C = {10, 20, 30, 40, 50} Find A∪B
Answer:
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
Step-by-step explanation:
A = {5, 10, 15, 20, 25}
B = {25, 30, 35, 40, 45}
Find A∪B
There are 5 elements in set A
There are 5 elements in set B
A∪B is the combination of all the elements in set A and set B without repeating any
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
A∪B has 9 elements in it
A ⋂ B = {25}
IS
4. Of the 250 people who bought gas this
weekend at a local station, 75% of them
paid with a debit card. How many people
paid with a debit card?
Answer:
30 people
Step-by-step explanation:
First, calculate what number 75% is of 250. You then should get a total of 30.
Hope this helped ! :D
( apologies if I got it wrong)
Please solve it's worth 12 points
Answer:
300 feet squared i think
Step-by-step explanation:
Express x^2+12x+11 in the form (x+p)^2+q
A package of salt waits 25 KG and a packet of sugar weighs 35 KG find the ratio of weight of salt to the weight of sugar
[tex] \longmapsto \: =25/35 [/tex]
[tex] \longmapsto \: =5/7[/tex]
[tex] \longmapsto \: =5:7[/tex]
Help me explain this question
Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .
what is variation ?Variation is the difference in an individual's genetic make-up that causes a population's members to have different physical characteristics. Variation can be shown in an individual's physical characteristics, fertility, metabolism, and method of reproduction. A variation is a relationship between a set of values for one variable and another set of values. direct change. If m is a nonzero constant and b = 0, the function y = mx (commonly written y = kx) that results from the equation y = mx + b is known as a direct variation.
given
the population of the bugs
b is the no. of bugs = 50 . [tex]3^{t}[/tex]
t is the no. of weeks they first counted
so this question explains
the range of population estimates
Is there a trend in the variation of estimates
Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .
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What is median if it’s 29,8,11,29,29,6,49 if the mean is 23