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STEP - BY - STEP EXPLANATION
Related Questions
Please help me solve this problem 20 points
Answers
Answer:
56
Step-by-step explanation:
[tex]\binom{8}{3}=\frac{8!}{5!3!}=56[/tex]
3. Simplify using BODMAS property a) 107-[59-(18+9-(12-18+6) +3}] b) [222-486 of 8]+(58-45) * 8 c) 1500-[160+ (40-(120-100)}]
Answers
Answers to all the problems using BODMAS property are:
(A) 78(B) -2,008(C) 1,320What is BODMAS property?The brackets must be solved first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction, according to the BODMAS rule. Any expression can only be solved correctly if the BODMAS rule or the PEMDAS rule is applied.So, (A) 107-[59-(18+9-(12-18+6) +3}]:
107-[59-(18+9-(12-18+6) +3}]107-[59-(18+9-0+3}]107-[59-(27+3)]107-[59-30]107 - 2978(B) [222- 486 of 8]+(58-45) × 8
[222- 486 of 8]+(58-45) × 8[-264 × 8]+(13)× 8-2,112 + 104-2,008(C) 1500-[160+ (40-(120-100)}]
1500-[160+ (40-(120-100)}]1500-[160+ (40-20}]1500-[160+ 20]1500-1801,320Therefore, answers to all the problems using BODMAS property are:
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Which numbers are solutions of x^2 + 20 = 9x + 2?
Answers
Answer:
x = 6 or x = 3
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 20 = 9 x + 2
Subtract 9 x + 2 from both sides:
x^2 - 9 x + 18 = 0
The left-hand side factors into a product with two terms:
(x - 6) (x - 3) = 0
Split into two equations:
x - 6 = 0 or x - 3 = 0
Add 6 to both sides:
x = 6 or x - 3 = 0
Add 3 to both sides:
Answer: x = 6 or x = 3
Answer:
Step-by-step explanation:
(x-6)(x-3)
x1 =6
x2 = 3
check whether x=1 is a solution of 3x-8
Answers
Answer: its 3
Step-by-step explanation: i looked it up and i found a quiz with the same question it was correct
Pleasee helpp
Identify where T goes if X is the midpoint of BT
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The location of T is 3 units from the midpoint X or 6 units from the endpoint B
Midpoint of a Line
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
Since one of the endpoints is BX and the endpoint is XT and the midpoint is X.
The distance between B and X is 3 units.
Since X is the midpoint, the distance between X and T is equal to 3 units.
Therefore, the distance between B and T is 6 units and the location of T is 3 units from X or 6 units from T.
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In the diagram below ∠1≅∠2 and m∠CFB=124°. Find each of the following.m∠1=___m∠2=___ m∠3=___m∠4=___m∠CFB= 124°
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Angles and lines
We are given the following information
Angle 1 is congruent with angle 2. They have equal measures
Angle CFB measures 124°
Note that angles 4 and F are linear because they are formed by the intersection of two lines.
Linear angles add up to 180°
This means that the measure of angle 4 is:
m angle 4 = 180° - m CFB
m angle 4 = 180° - 124°
m angle 4 = 56°
now note angle 4, 1, and 2 form a straight angle of 180°. This means that
m angle 4 + m angle 1 + m angle 2 = 180°
Since angles 1 and 2 are congruent:
m angle 4 + 2* m angle 1 = 180°
Knowing that m angle 4 = 56°:
56° + 2* m angle 1 = 180°
Subtracting 56°:
2* m angle 1 = 124°
Solving:
m angle 1 = 124° / 2 = 62°
Thus, both angles 1 and 2 measure 62°
Finally, being angles 3 and 4 vertical angles (opposed by a vertex), they are congruent, thus
m angle 3 = m angle 4 = 56°
The solution is given below:
given h(x)=-[tex]\sqrt{x}[/tex]x-6+8 witch is the correct transformation from the parent function
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The correct transformation include
Horizontal translation to the right by 6 units: Vertical translation up by 8 units: How to determine the transformation of the graph?The equation of the graph is given as
y = √(x -6) + 8
The above equation is a square root
The parent equation of the square root is
y = √x
The sequence of transformations from y = √x to y = √(x - 6) + 8 is as follows:
Shift to the right by 6 unitsShift up by 8 unitsThe transformation rule of the above transformations are as follows:
Shift to the right by 6 units: (x - 6, y)Shift up by 8 units: (x, y + 8)When the above transformations are applied on the equation, we have:
Shift to the right by 6 units: (x - 6, y)Shift up by 8 units: (x - 6, y + 8)This means that the function y = √(x -6) + 8 can be gotten by applying the above sequence of transformation on y = √x
See attachment for the graphs of the transformations where the blue line represents y = √x while the other line represents y = √(x -6) + 8
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A can of cola has 41 grams of sugar in each
12-ounce can. If you drink nine cans over the span
of a week, how many pounds of sugar have you
consumed during that week from the soda?
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The amount in pounds of sugar consumed during that week from the soda is 0. 0677 pounds
What is proportion?A proportion can be defined as an equation in which two elements, or numbers are being set equal to each other.
It is known as a mathematical comparison between two elements or things.
It is also defined as a comparative relation on the basis of size or magnitude of elements, quantity and numbers.
From the information given, we have that;
41 grams of sugar is in each 12-ounce can
To determine the ounces in 9 cans, we have;
If 41 grams = 12 cans
Then, x = 9 cans
cross multiply
x = 41(9)/12
expand the bracket
x = 30. 75 grams
Let's convert grams to pounds
1 gram = 0. 0022 pounds
30. 75 grams = x
x = 30. 75(0. 0022)/1
x = 0. 0677 pounds
Hence, the value is 0. 0677 pounds
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Miguel reads that the average low temperature today is −8.5°F and that the average high temperature is 10.2º F.
Miguel plots the points on the number line to determine the temperature change between these two readings.
What is the temperature change?
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Answer:
18.7 °F
Step-by-step explanation:
You want the temperature change between a low of -8.5 °F and a high of 10.2 °F.
ChangeThe change between the two readings is found by subtracting the smaller from the larger:
10.2 -(-8.5) = 10.2 +8.5 = 18.7
The temperature change is 18.7 °F.
To which set(s) of numbers does √2 belong?
Select all that apply.
A. rational
B. irrational
C. integer
D. whole
E. natural
F. not rational
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The number √2 is an irrational number, thus, the correct options are B: irrational and F: not rational
To wich sets the number belongs?Remember what each sets are.
Natural or whole numbers are all the numbers that can be get by adding ones to one {1, 2, 3, 4, ...}
Integers are like the above ones, but also includes the zero and negative numbers.
Rationals are the ones that can be written as a quotient between two integers, and irrationals are these ones that can't be written like that.
Finally, real numbers are all the numbers.
In this case we have the square root of a prime number, √2, this is always a irrational number.
Then option B is correct.
Trivially, option F (not rational) is also true, because if the number is irrational, then it is not rational.
Then the correct options are B and F.
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What is the result if x3 - 5x² + x + 15 will be divided by x -3?
Answers
The quotient for p(x) = x³ -5x² + x + 15 is x² – 2x – 5.
What is a polynomial?A polynomial is a mathematical expression made up of coefficients multiplied by the product of powers in one or more variables. The formula for a univariate polynomial in one variable with constant coefficients is.
What is a polynomial equation?An equation with a polynomial set to zero is referred to as a polynomial equation. It is an equation made up of coefficients, non-negative integer exponents, variables, and operations. It also contains the equal sign. Different exponents exist for it. The degree of the equation is revealed by the highest one.
Given that,
The p(x) = x³ - 5x² + x + 15
Divided by x -3
Therefore, the quotient for p(x) = x³ -5x² + x + 15 is x² – 2x – 5.
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Translate the sentence into an equation.
Twice the difference of a number and 8 equals 6.
Use thr variable v for the unknown number
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Answer:
2(v-8)=6
Step-by-step explanation:
you have to follow the instructions written and then plug the values
What is the answer to 5x+10=-15?
Answers
Answer:
-5
Step-by-step explanation:
5x + 10 = -15
a) Subtract 10 from both sides.
5x + 10 - 10 = -15 - 10
5x = -25
b) Divide both sides by 5.
5x/5 = -25/5
-25/5 = -5
Your answer would be -5
A house has increased in value by 24% since it was purchased. If the current value is 465,000, what was the value when it was purchased?
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Calculate the sum or difference:
Convert decimal to fraction:
Reduce the fraction:
Divide a fraction by multiplying its reciprocal:
Reduce the expression to the lowest term:
Calculate the product or quotient:
get the result:
Answer:
Let -3 -5 be a point on the terminal
Answers
We have a terminal point (-3,-5).
We have to find cos(θ), csc (θ and tan)(θ.)
We can locate the terminal point and the angle as:
The cosine of this angle will be negative, as ( is located in the third quadrant)
The hypotenuse of this right triangle will be called R and we can calculate it using the Pythagorean theorem:
[tex]\begin{gathered} R^2=x^2+y^2 \\ R=\sqrt[]{x^2+y^2} \end{gathered}[/tex]We can estimate the cosine as:
[tex]\begin{gathered} \cos (\theta)=\frac{x}{R} \\ \cos (\theta)=\frac{-3}{\sqrt[]{(-3)^2+(-5)^2}} \\ \cos (\theta)=\frac{-3}{\sqrt[]{9+25}} \\ \cos (\theta)=\frac{-3}{\sqrt[]{34}} \\ \cos (\theta)=\frac{-3\sqrt[]{34}}{34} \end{gathered}[/tex]We can now relate this to the csc(θ) as:
[tex]\begin{gathered} \csc (\theta)=\frac{1}{\sin (\theta)} \\ \csc (\theta)=\frac{1}{\frac{y}{R}} \\ \csc (\theta)=\frac{R}{y} \\ \csc (\theta)=\frac{\sqrt[]{34}}{-5} \\ \csc (\theta)=-\frac{\sqrt[]{34}}{5} \end{gathered}[/tex]Finally, we can calculate the tangent as:
[tex]\begin{gathered} \tan (\theta)=\frac{y}{x} \\ \tan (\theta)=\frac{-5}{-3} \\ \tan (\theta)=\frac{5}{3} \end{gathered}[/tex]Answer:
cos(θ) = -3√34/34
csc(θ) = -√34/5
tan(θ) = 5/3
group 1 bought 9 tickets and received a 120 discount, group 2 bougt 3 tickets and recived a 30 dollar discount both groups spentthe total amount of money on tickets
the price of each ticket was the same
what was the cost of each ticket?
Answers
The cost of each ticket bought by each of the group is $15.
What is the cost of each ticket?The linear equation that represents the total cost spent by group 1 on the tickets is:
Amount spent = total amount spent on the tickets - discount
9x - 120
The linear equation that represents the total cost spent by group 2 on the tickets is:
3x - 30
Where:
x = is the cost of the tickets
If both groups spend the same amount, the above two linear equations would be equal to each other
3x - 30 = 9x - 120
In order to determine the value of x, take the following steps:
Combine similar terms together: 120 - 30 = 9x - 3x
Add similar terms: 90 = 6x
Divide both sides by 6
x = 90 / 6
x = 15
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The graph of f(x) is shown. Sketch the graphs of the following functions.1/2f (x)
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1/2f(x) where f = 1 is plotted and sketched on the graph.
(Refer the graph attached below)
What are graphs of functions?The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph.We could also say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function. To determine if a graph represents a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point. The graph is not a function if the vertical line touches it at more than one location.So, let locate function 1/2f(x) on the graph:
Where f = 1(Refer to the graph attached below)Sketch the region as follows.Therefore, 1/2f(x) is plotted and sketched on the graph.
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A B Solve the equation. 6x - 8 = 2 (3x - 4) No Solution Infinite Solutions
Answers
After being simplified, it was discovered that the equation 6x - 8 =
2 (3x - 4) has infinite solutions.
What exactly is a straight line equation?A straight line has the equation y=mx+c, where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.
What is the difference between a no solution and an infinite solution?Equations with no solutions will not be equal when simplified.Equations with infinite solutions will simplify to the same constant on both sides.Given Equation : 6x - 8 = 2 (3x - 4)
Simplifying this equation as follows:
6x - 8 = 2 (3x - 4)
6x - 8 = 6x - 8
0 = 0
Same constant on both sides.
As a result, after simplifying the equation 6x - 8 = 2 (3x - 4), infinite solutions are possible for this equation.
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Ryan received a box of jelly beans for his birthday. The jelly beans in the box have fivedifferent flavors. The table below shows how many jelly beans of each flavor are in the box.JELLY BEANSFlavorGrapelucoriceNumber1610CherryhomonThe jelly beans are all the same shape and size. Ryan does not like licorice or lime. What is theprobability that he will pick a jelly bean from the full box that has a flavor he does like? Showand exolain vour work
Answers
The probability of Ryan choosing a flavor that he does not like is 3/10.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.So, the formula for probability:
P = favourable events/Total eventsFavorable events: (Picking flavor that Ryan does not like) = 10 + 8Total events: (sum of all the jelly) = 60Now, insert the values in the probability formula as follows:
P = favourable events/Total eventsP = 18/60 ⇒ 9/30 ⇒ 3/10Therefore, the probability of Ryan choosing a flavor that he does not like is 3/10.
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Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (3, -1)
Answers
Answer:
The equation of the line is 2x - 3y = 9
Step-by-step explanation:
Given:
Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (3, -1)
Solve:
- The line is parallel to the line 2x - 3y = 5
⇒ the slope of the line = the slope of the line 2x - 3y = 5
- Rearrange the terms of the equation to be in the form
⇒ y = mx + c to find the slope of it
2x - 3y = 5 → subtract 2x from both sides
-3y = 5 - 2x ⇒ divide two sides by -3
y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3
The slope of the line is 2/3
Given that: The line passes through point (3, -1)
Lets use the rule to find the equation of the line:
y - (-1)/x - 3 = 2/3
y + 1/x - 3 = 2/3 ⇒ by using cross multiplication
3(y + 1) = 2(x - 3) ⇒ open the brackets
3y + 3 = 2x -6 ⇒ put x and y on one side
2x - 3y = 3 + 6
2x - 3y = 9
The equation of the line is 2x - 3y = 9
~Kavinsky
Evaluate the expression and enter your answer in the box below.[(14 + 7) + 3) + 10 (6-3)
Answers
Given the expression below
[tex](14+7)+3)+10(6-3)[/tex]We can evaluate the expression by simplifying the parenthesis
[tex]\begin{gathered} (14+7)+3)+10(6-3) \\ =(21+3)+10(3) \\ =24+30 \\ =54 \end{gathered}[/tex]Answer: 54
PLEASE HELPP ME
Solve the absolute value equation, making sure to show all steps of your work.
-1/3|2x - 4|=-6
Answers
The required solution of the given absolute value equation is 11 and -7.
Given that,
An absolute value equation is given, -1/3|2x - 4|=-6.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given expression.
-1/3|2x - 4| = -6
|2x - 4| = -6 (-3)
|2x -4| = 18
(2x - 4) = ±18
Now.
Taking (+)
2x - 4 = 18
x = 11
Similarly,
Taking (-)
2x - 4 = -18
x = -7
Thus, the required solution of the given absolute value equation is 11 and -7.
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Find the growth factor of the function y = 750(1.825)4.0.8251.8254750
Answers
Solution:
The growth formula is expressed as
[tex]\begin{gathered} A=P(1+r)^t----\text{ equation 1} \\ where \\ (1+r)\Rightarrow growth\text{ factor} \end{gathered}[/tex]Given the function:
[tex]y=750(1.825)^4---\text{ equation 2}[/tex]By comparison, we have
[tex]\begin{gathered} P=750 \\ t=4 \\ (1+r)=1.825 \end{gathered}[/tex]Hence, the growth factor of the function is
[tex]1.825[/tex]dean is going to deliver some goods. he charges £7.00 an hour and 40p per mile for delivery.
he writes down his mileage before and after he has made his journey. this journey takes 2h and 45minutes.
how much does he charge to deliver these goods?
Answers
Answer:
See below
Step-by-step explanation:
Time charge = 2.75 hr * £7.00/hr = £ 1`9.25
Mileage charge = ( 25423 - 25263) mi * 40p / mile = 6400 p
(edited: forgot to multiply by 40p)
Now add the two charges together : 19 + (.25 * 240) + 6400/240 =
£ 45.92
( I think <===if I correctly did the monetary conversion between pence and pounds! <=== I used 240 p = 1£ )
Step-by-step explanation:
what we were not told is, if he charges a full hour for a fraction of an hour, or only a corresponding fraction of his hourly rate.
I assume the first : charging a full hour for any fraction of an hour spent.
it took him 2h and 45 minutes, so that is 3 hours charged.
and he was driving
25423 - 25263 miles = 160 miles
so, he charges
3×7 + 160×0.40 = 21 + 64 = £85
if he charges also fractions of his hourly rate, then his hourly charge would be
2 3/4 × 7 = (2×4 + 3)/4 × 7 = 11×7/4 = 77/4 = £19.25
in total that would be
19.25 + 64 = £83.25
URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100
POINTS!!!!!
Answers
Answer:
289 and 324
Step-by-step explanation:
first find the root of 300 then the number you get is 17.3205.... then look in the line and look at the points in between 17 and 18 then find the square root of 17 and you'll get your answer
1) What is the midpoint formula? Use it to find the midpoint of (1, 5) and (-8, 17).
Please help me
Answers
Answer:
the answer to the midpoint of 1.5 and -8,7 is (-7/2,11)
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Answers
The value of expression c − a + b d on simplification is (-10101.2).
As per question we need to solve the given equation i.e., c − a + b d
And we are provided with the values of a, b , c and d.
Here we have ,
a=78,
b=−716
c=0.8
and d=14
The given equation is,
c − a + b d
Now we need to substitute the value of a, b, c and d. On substituting the value of a, b, c and d , we get
(0.8) - 78 + (-716) (14)
= (0.8) - 78 - 10024
= (-10101.2)
So, we can conclude that the value of given expression on simplification is (-10101.2).
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Can you explain the steps for the y intercept and slope. x-10 = 4y
I came up with (10, 0)
Answers
Evaluate the following expression
28-(-2/3)x 9.6
Answers
Answer:
34.4
Step-by-step explanation:
Write expressions to replace A and B so that the list below shows three
consecutive integers, written from smallest to largest, for all integer values
of n. A,n,B
Answers
Answer:
A = n-1
B = n+1
Step-by-step explanation:
You want values of A and B that make the sequence {A, n, B} be a sequence of consecutive integers for any integer n.
Consecutive integersIntegers are consecutive when each is one more than the previous:
A +1 = n ⇒ A = n -1
n +1 = B