Work Shown:
[tex](x_1,y_1) = (7,-6) \text{ and } (x_2,y_2) = (6,-6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-6 - (-6)}{6 - 7}\\\\m = \frac{-6 + 6}{6 - 7}\\\\m = \frac{0}{-1}\\\\m = 0\\\\[/tex]
Lines with slope of 0 are always horizontal. The y coordinates are the same value.
Suppose elementary students are asked their favorite color, and these are the
results:
28% chose blue
. 25% chose red
. 17% chose yellow
What percentage chose something other than red, blue, or yellow? (Each student
was only allowed to choose one favorite color.)
Answer:
30% of students chose something other
If the distance traveled is (4s3 - 6s² + 4s + 14) miles and the rate is (s + 1) mph, write an expression, in hours, for the time traveled.
The equation for time is URM:
[tex]time = \frac{distance}{speed \: (rate)} [/tex]
[tex]t(s) = \frac{4s {}^{3} - 6s {}^{2} + 4s + 14}{s + 1} = \frac{2(s + 1)(2s {}^{2} - 5s + 7) }{s + 1} \\ t(s) = 2(2s {}^{2} - 5s + 7) \\ t(s) = 4s {}^{2} - 10s + 14[/tex]
2 Determine the area of the square ABCD with AB=3cm. A 3cm B D C
The area of the given square is a 9.
According to the statement
We have to find that the area of the square.
So, For this purpose, we know that the
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
From the given information:
The square ABCD with the side AB=3cm. A 3cm B D C
Then
we know that the all the sides of the square all equals.
Then
AB=3cm = BC=CD=DA
Then
Area of the square = side*side
Area of the square = 3*3
Now,
The value of the Area of the square = 9.
So, The area of the given square is a 9.
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I will give brainlist
Write 'five more than three times a number equals 21' as an equation.
3x + 5 = 21
5x + 3 = 21
3x(5) = 21
5x(3) = 21
Answer:
I think it's 3x + 5 = 21 because three times a number would be 3x so that would eliminate options 2 & 4, then it says five more than three which would be adding five so that would only leave option 1 so that should be your answer
Hope this helps and may God bless you<3
Andre is guaranteed a minimum weekly salary of $400 plus 3.5% of his total sales. If he
sold $5740 worth of merchandise one week, what is his gross pay for that week.
Pls help I suck at math
a) The first five terms of the sequence are 1, 3, 9, 27 and 81.
b) The first five terms of the sequence are 1, - 1, - 3, - 5 and - 7.
c) The first five terms of the sequence are 1, 3, 7, 15 and 31.
d) The first five terms of the sequence are 1, 2, 5, 26 and 677.
e) The first five terms of the sequence are 1, 3, 7, 13 and 21.
How to find the first five terms of a series by a recurrence formula
Recurrence formulas are expressions that generates an element of a sequence in terms of previous elements of the series. Now we proceed to calculate the first elements of each sequence:
Case A
n = 1
a(1) = 1
n = 2
a(2) = 3 · a(1)
a(2) = 3
n = 3
a(3) = 3 · a(2)
a(3) = 9
n = 4
a(4) = 3 · a(3)
a(4) = 27
n = 5
a(5) = 3 · a(4)
a(5) = 81
The first five terms of the sequence are 1, 3, 9, 27 and 81.
Case B
n = 1
b(1) = 1
n = 2
b(2) = - 2 + b(1)
b(2) = - 1
n = 3
b(3) = - 2 + b(2)
b(3) = - 3
n = 4
b(4) = - 2 + b(3)
b(4) = - 5
n = 5
b(5) = - 2 + b(4)
b(5) = - 7
The first five terms of the sequence are 1, - 1, - 3, - 5 and - 7.
Case C
n = 1
c(1) = 1
n = 2
c(2) = 2 · c(1) + 1
c(2) = 3
n = 3
c(3) = 2 · c(2) + 1
c(3) = 7
n = 4
c(4) = 2 · c(3) + 1
c(4) = 15
n = 5
c(5) = 2 · c(4) + 1
c(5) = 31
The first five terms of the sequence are 1, 3, 7, 15 and 31.
Case D
n = 1
d(1) = 1
n = 2
d(2) = [d(1)]² + 1
d(2) = 2
n = 3
d(3) = [d(2)]² + 1
d(3) = 5
n = 4
d(4) = [d(3)]² + 1
d(4) = 26
n = 5
d(5) = [d(4)]² + 1
d(5) = 677
The first five terms of the sequence are 1, 2, 5, 26 and 677.
Case E
n = 1
f(1) = 1
n = 2
f(2) = f(1) + 2 · 2 - 2
f(2) = 3
n = 3
f(3) = f(2) + 2 · 3 - 2
f(3) = 7
n = 4
f(4) = f(3) + 2 · 4 - 2
f(4) = 13
n = 5
f(5) = f(4) + 2 · 5 - 2
f(5) = 21
The first five terms of the sequence are 1, 3, 7, 13 and 21.
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Use the segment addition postulate to solve for the length of BC, if AC = 16, BC = x + 11, and AB = 3x-7.
Answer: Can u pls help me withe my question?
Step-by-step explanation:
solve for f f/5=-8 need help asap
Step-by-step explanation:
[tex] \frac{f}{5} = - 8[/tex]
[tex]f = - 8 \times 5[/tex]
[tex]f = - 40[/tex]
Giving point asap , please asnwer
What is n?
…………………..
Answer:
n=25
Step-by-step explanation:
5n-2+2n+7=180
combine like terms
7n+5=180
subtract 5 on both sides
7n=175
divide 7 on both sides
n= 25
The wholesale cost of a bicycle is $98.75. The markup for the bicycle is 33.3%. Find the selling price of the bicycle to the nearest cent.
The selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.
What is the selling price of the bicycle whose mark-up is as described in the task content?The wholesale cost price of the bicycle in discuss is $98.75 as described in the task content while the markup for the bicycle is as given in the task content.
On this note, it follows that the selling price of the bicycle is the sum of its cost price and it's mark-up. Hence, we have;
Selling price = $98.75 + (33.3% of $98.75)
= $98.75 + (0.333 × $98.75)
= 98.75 + 32.88
= $131.63.
Ultimately, selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.
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Which is the graph of the equation y- 1 = 2/3(x - 3) ?
Step-by-step explanation:
To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.
If the observed (actual) y value is 10, and the predicted value is 14, what is the residual?
The residual value with an actual value of 10 and a predicted value of 14 will be 4. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
We know that the difference between the predicted value and to actual value is known as the residual value.
Residual value = Predicted value - Actual value
If the observed (actual) y value is 10, and the predicted value is 14. Then the residual value will be
Residual value = 14 - 10
Residual value = 4
The residual value will be 4. Then the correct option is D.
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5 is added to the cube of a number
Answer:
x^3 + 5
Explanation:
Calendars cost $0.75 each, and date books cost $0.50 each. Cindy ordered a total of 500 promotional items and spent $300. How many of each item did she order?
Answer:
it will be 100 dollar because it spend 50$ on each
Mr. Wolfe wrote a number on the board in expanded form.
He asked his math students to write the number in standard or word form. Some students and their answers are shown.
Belen: 4.096
Kara: four and sixty-nine thousandths
Liam: 4.609
Sam: four and six hundred nine thousandths
Which students wrote the number correctly?
A.
Belen and Sam
B.
Kara and Belen
C.
Kara and Liam
D.
Liam and Sam
Liam and Sam write the correct number.
Option D is true.
What is Expanded form of a number?
The splitting of numbers based on the place value is called Expanded form of a number.
The number is given as;
4×1 + 6 × 1/10 + 9 × 1/1000
Now, The number is written in standard form as;
⇒ 4×1 + 6 × 1/10 + 9 × 1/1000
⇒ 4 + 0.6 + 0.009
⇒ 4.609
Then write the number in word form,
⇒ 4.609 = Four and six hundred nine thousandths.
So, Liam and Sam write the correct number.
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James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $2,000 for their reception. If the reception hall charges a $100 cleanup fee plus $37 per person, find the greatest number of people that they may invite and still stay within their budget.
The greatest number of persons that would be invited is 51.
How to solve for the number of inviteesIn order to get the greatest number of person that they would be inviting we would have this equation
100+37x ≤ 2,000
Where we have money budgeted to be 2000 dollars
cleanup fee = 100 dollars
Amount per person = 37 dollars
Then we would have
100+37x ≤ 2,000
37x ≤ 2000 - 100
37x ≤ 1900
we have to divide through by 37
37/37 = 1900 / 37
x = 51.3
Hence we would say that the greatest number of persons that would be invited is 51.
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find (f+g) (x) for f(x)=1/x and g(x)=x^4
Given the functions f(x) = 1/x and g(x) = x⁴, the function operation ( f + g )(x) is x⁴ + 1/x.
What is the function operation ( f + g )(x)?Given the functions in the question;
f(x) = 1/xg(x) = x⁴( f + g )(x) = ?To evaluate f + g, replace the function designators in f + g with the actual functions and simplify
( f + g )(x) = f(x) + g(x)
( f + g )(x) = ( 1/x ) + ( x⁴ )
Remove the parenthesis
( f + g )(x) = ( 1/x ) + ( x⁴ )
( f + g )(x) = 1/x + x⁴
Reorder 1/x and x⁴
( f + g )(x) = 1/x + x⁴
( f + g )(x) = x⁴ + 1/x
Given the functions f(x) = 1/x and g(x) = x⁴, the function operation ( f + g )(x) is x⁴ + 1/x.
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Finding Values of Sum and Difference Functions:
Answer all 3 questions on the picture:
Answer:
5917Step-by-step explanation:
Given functions h(x)=x²+1 and k(x)=x-2, you want the values of (h+k)(2), (h-k)(3) and 3h(2)+2k(3).
Function evaluationThe value of a function f(x) is found by substituting the argument value for x in the function definition, then doing the arithmetic.
The value of a sum or difference of functions is the sum or difference of the values of those functions for the given argument.
(h+k)(2)(h+k)(2) = h(2) +k(2) = (2²+1) +(2 -2) = 5 +0 = 5
(h-k)(3)(h-k)(3) = h(3) -k(3) = (3² +1) -(3 -2) = 10 -1 = 9
3h(2) +2k(3)3h(2) +2k(3) = 3(2² +1) +2(3 -2) = 3(5) +2(1) = 17
Solve and classify the given system of linear equations. -9x+2y=-4. -x+4y=-2
The solution to the system is x = 6/17 and y = -7/17
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
-9x+2y=-4
-x+4y=-2
Multiply -9x+2y=-4 by 2
So, we have
-18x + 4y = -8
Subtract -18x + 4y = -8 from the equation -x+4y=-2
-x + 18x + 4y - 4y = -2 + 8
Evaluate the like terms
17x = 6
Divide both sides of the equation by 17
x = 6/17
Substitute x = 6/17 in -x + 4y = -2
-6/17 + 4y = -2
This gives
4y = -2 + 6/17
Evaluate
4y = -28/17
Divide by 4
y = -7/17
Hence. the solution to the system is x = 6/17 and y = -7/17
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(2,8) (-4,-7) 5:3 weighted average
The weighted average is -33.
given,(2,8)(-4.-7)and their weighted average is 3:5
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set. In calculating a weighted average, each number in the data set is multiplied by a predetermined weight before the final calculation is made.
(2,8)x5=10+40
=50
(-4,-7)x3=-12-21
=-33
therefoe, the weighted average is -33.
The average is the sum of all individual observations divided by the number of observations. In contrast, the weighted average is observation multiplied by the weight and added to find a solution.
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Amanda and her friend worked together selling lemonade. They eamed x dollars. After splitting the money evenly between the two of them, they each had $30.25. What is x?
Answer:
x = $60.50
Step-by-step explanation:
It’s $60.50 because there are 2 people so u multiply $30.25 by 2 and you get $60.50
How many elements belong to set A but not set B?
According to the venn diagram 21 elements belong to set A but not set B.
A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.
The given information is U = 23, n(A)= 21+ 5= 25 and n(B)= 15+5 =20
We have to find how many elements belong to set A but not set B.
In the given Venn diagram , The elements belong to set A but not set B is 21
The elements belong to set A but not set B is 21
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9/14×7/6 in the simplest form
Answer:
3/4
Step-by-step explanation:
[tex]\frac{9}{14} \times \frac{7}{6} \\ \\ =\frac{3}{14} \times \frac{7}{2} \\ \\ =\frac{3}{2} \times \frac{1}{2} \\ \\ =\frac{3}{4}[/tex]
136 divided by -10 - 7 need help fast
Answer:
136÷-10-7=-20.6
Step-by-step explanation:
.........
Find the value of x.
X
38°
75°
Answer:
67
Step-by-step explanation:
Angles in a triangle add to 180°.
could you please show me how to perform this operation and express in scientific notation.
(2.8 x 10^4) x (4 x 10^5)
Thank you
Answer:
[tex]1.12 \times 10^{10}[/tex]
Step-by-step explanation:
[tex]2.8 \times 10^4 \times 4 \times 10^5 \text{ // I like to separate the tens from all other numbers}\\\to (2.8 \times 4) \times (10^4 \times 10^5) \text{ // Remember the rule: } a^n \times a^m = a^{n + m}\\\to 11.2 \times 10^{4 + 5}\\\to 11.2 \times 10^9 \text{ // } 11.2 \text{ is equal to } 1.12 \times 10^1\\\to 1.12 \times 10^1 \times 10^9\\\to 1.12 \times 10^{1 + 9}\\\to 1.12 \times 10^{10}[/tex]
Can someone help me on this question? It's due tomorrow :(
Answer: option 1
Step-by-step explanation:
You can't remember how many rides you went on at the amusement park. But, you know that each ride cost $3 and it cost $20 to get into the park. How many rides did you go on if you spent a total of $41?
Answer:
7 Rides
Step-by-step explanation:
Alright so you can already take out 20 bucks out of 41, so 21 bucks left. Then it's simple division, 21 / 3 = 7. You went on 7 rides. Hope this helps. Have a great night. :)
Answer:
7 rides!
Step-by-step explanation:
Our equation: 20+3x=41
x= the number of rides you went on
41-20= 21
21/3=7
Therefore, you went on 7 rides :))
Fran the Fearless has a well-known act at a local zoo. As part of the act, Fran handles a scary animal that she picks at random out of the Box of Terror. The following animals are in the box: 6 poisonous snakes, 8 nonpoisonous snakes, 11 poisonous spiders, and 4 nonpoisonous spiders. What is the probability that the animal Fran picks is poisonous or is a snake?
0.620 is the probability that the animal Fran picks is poisonous or is a snake .
How does probability explain work?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.Total animal = ( 6 + 8 + 11 + 4 ) = 29
Let, p = Event of poisonous animal
s = event of spider
p U s = event of poisonous or spider
p ∩ s = event of poisonous or spider
n(P) = No of poisonous = ( 6 + 11 ) = 17
n(S) = No of spider = ( 8 + 4 ) = 12
n(P ∩ S) No of poisonous spider = 11
Then , P [ P ] = 17/29 , P [S ] = 12/29 P [ P ∩ S ] = 11/29
P [ poisonous or spider ]
= P [ P ∪ S ] = P [P] + P [ S ] - P [ P ∩ S ]
= 17/29 + 12/29 - 11/29
= 18/29 = 0.620
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