gradient=∆ in y values /∆ in x values
Step-by-step explanation:
pick any two points through which the line is passing through then label the values (any) x¹ and y¹ then x² and y². then subtract y²-y¹/x²-x¹
A contestant on a game show spins a wheel that is located on a plane perpendicular to the floor. He grabs the only red peg on the circumference of the wheel, which is 1.5 m above the floor (the peg is) and pushes it downward. The peg reaches a min height of 0.25 m and a max height of 2.75 m above the floor. Sketch two cycles of the graph representing the height above the ground as a function of the total distance moved. Then determine the equation of the sine function
The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]
The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.
So, the amplitude is:
[tex]\mathbf{A = 1.5 - 2.75}[/tex]
[tex]\mathbf{A = -1.25}[/tex]
The vertical shift is the minimum height of the peg.
So, we have:
[tex]\mathbf{D = 0.25}[/tex]
The period (T) equals one circumference.
So, we have:
[tex]\mathbf{T = (max-min)\pi}[/tex]
This gives
[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]
[tex]\mathbf{T = 2.5\pi}[/tex]
The frequency (B) is then calculated as:
[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]
This gives
[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]
Divide
[tex]\mathbf{B = 0.8}[/tex]
A sine function is represented as:
[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]
Substitute the calculated values
[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]
The horizontal shift (C) is 0.
So, the function becomes
[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]
See attachment for the graph of the equation
Read more sine function at:
https://brainly.com/question/11904902
A rectangle of dimensions 60 units x 40 units is drawn on grid paper with vertices in
the nodes of the grid. A cell of the grid is 1 unit * 1 unit. A diagonal of the rectangle is
drawn. How many cells have been cut into two (not necessarily equal) parts?
The number of cells which have been cut into two parts is approximately ; 72 units
According to the question;
The rectangle has dimensions 60 units x 40 units.Provided a cell of the grid is 1 unit * 1 unit.
When a diagonal of the rectangle is drawn;
The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.
Diagonal, D² = 60² + 40²D² = 3600 + 1600D² = 5,200D = √5200D = 72.11 unitsRead more;
https://brainly.com/question/20054245
Answer: 80
see attached
Step-by-step explanation:
If you do a 3x2 units, and draw a diagonal line, you'll see 4 units are cut. because it's 60x40, then means BOTH lengthwise & widthwise you'll repeat 20 times, so 20*4 units = 80 units.
Help me plz
I’m stuck
Also happy thanksgiving
Answer:
x = 13
angle A = 97degrees
Step-by-step explanation:
TO GET "x=13"
since the angle is an alternate angle , it adds up to 180deg so :-
A+B =180
6x + 5 + 4x + 45 = 180
then u add the like terms :-
10x + 50 = 180
then u substitute:-
10x = 180-50
10x = 130
10x÷10 = 130 ÷10 ( this is to cancel the 10 )
x = 13
___________________________________________________________________
TO GET "A=97"
since we need the magnitude of A, we need to .... um I dunno how to explain this soo.....
the equation for A = 6x + 5
180 is the sum of the 2 angles so :-
180 - 5 - (13 × 6) 13×6 is because x=13
180 - 5 - 78= 97
I subtracted these since we need to cancel to get to an answer
I hope u get it.... sorry if u can't understand
and sorry once again if this answer.... I did it in a rush
- 3< t <2
t is an integer.
Write down all the possible values of t.
Answer:
-2, -1, 0, 1
Step-by-step explanation:
-2
-1
0
1
All the possible values of t in the inequality - 3 < t < 2 is,
t = - 2, - 1, 0, 1
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that;
The inequality is,
- 3 < t < 2
Here the given inequality means all the values of t are lies between - 3 and 2.
That is,
t = - 2, - 1, 0, 1
Therefore, the value of t are t = - 2, - 1, 0, 1
To learn more about inequality visit:
https://brainly.com/question/25944814
#SPJ3
Explain how 20% can be different amount,
Answer:
As finding 10% of a number means to divide by 10, it is common to think that to find 20% of a number you should divide by 20 etc. Remember, to find 10% of a number means dividing by 10 because 10 goes into 100 ten times. Therefore, to find 20% of a number, divide by 5 because 20 goes into 100 five times.
Step-by-step explanation:
HELPPP IM BEGGING U LOOK AT THE PIC BABES
Answer:
2nd option
Step-by-step explanation:
in the figure below red points are for ΔC"D"E"
we have to go in reverse order
to convert ΔC"D"E" to ΔC'D'E'
we have to scale the given triangle to a scale factor of 2
by multiplying vertices with 2
which gives blue points in the figure
next for 90° counter clockwise of ΔC'D'E' we get ΔCDE
for that we have to interchange x and y in the vertices
(2,2), (4,6), (-2,6) initial
(-2,2), (-6,4), (-6,-2) after
2nd option
Mia bought 6 pounds of bananas for $3.54. How much does 1 pound of bananas cost?
Answer:
$0.59
Explanation:
$3.54 divided by 6 is $0.59. This concludes that 1 pound is $0.59. Hope this helps!
The cost of 1 pound of banana will be $0.59 per pound.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mia bought 6 pounds of bananas for $3.54.
The cost of 1 pound of banana is given by the division of the total cost for 6 pounds and 6. Then we have
⇒ $3.54 / 6
⇒ $0.59 per pound
The cost of 1 pound of banana will be $0.59 per pound.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
x-5/3=1 in the simplest form
[tex]\\ \sf\longmapsto x-5/3=1[/tex]
[tex]\\ \sf\longmapsto x=1+5/3[/tex]
[tex]\\ \sf\longmapsto x=3+5/3[/tex]
[tex]\\ \sf\longmapsto x=8/3[/tex]
Done
[tex]\sf \longmapsto \: x- \dfrac{5}{3} =1[/tex]
Simplify both sides of the equation[tex]\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1[/tex]
Add 5/3 to both sides[tex]\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} [/tex]
[tex]\sf \longmapsto \: x = \dfrac{8}{3} [/tex]
[tex] \boxed{\sf { \red{ x = \dfrac{8}{3}}} }[/tex]
Cual es el signo???? AYUDAAAA
Solve. −4x−21=91 Enter your answer in the box. x =
Answer:
X = -27
Explain your answer:
Answer:
x = -28
Explanation
K12
I thought of a number I called this number n I multiplied my number by the sum of 12 and 18 I added 43 to the result and I got 103 what is n equal to
[tex](n \times (12 + 18)) + 43 = 103[/tex]
[tex]30n + 43 = 103[/tex]
Subtract both sides 43
[tex]30n + 43 - 43 = 103 - 43[/tex]
[tex]30n = 60[/tex]
Divide both sides by 30
[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]
[tex]n = 2[/tex]
Consider the two linear expressions. -(-3 -60 – 3) and 3.5 – 60 Are the two linear expressions equivalent? Drag a word or phrase to the box to correctly complete the statement
When William had one cat, he needed to serve 1/8 of a can of cat food each day. Now that William has adopted a second cat, he needs to serve a total of 2 7/8 cans each day. How much extra food is needed to feed the second cat?
There are two numbers the second number is 1 larger than twice the first number. The sum of the reciprocals of the number is 7/10. Find the two numbers.
Let the first no be x
second no=2x+1ATQ
[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]
[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]
On solving we get
[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]
Take it 2First no=2
Second no=5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = 2x + 1 ...1
1/x + 1/y = 7/10 ...2
From equations 1 and 2, then we have
1/x + 1/(2x + 1) = 7/10
10(2x + 1 + x) = 7x(2x + 1)
30x + 10 = 14x² + 7x
14x² - 23x - 10 = 0
14x² - 28x + 5x - 10 = 0
14x(x - 2) + 5(x - 2) = 0
(14x + 5)(x - 2) = 0
x = 2, - 5/14
At x = 2, then the value of y is given as,
y = 2 (2) + 1
y = 5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Which expression is equivalent to 1/2b -15
Answer:
b-30
Step-by-step explanation:
1/2b-30×2=b-30
hope this helpd
Is that the correct answer for it please help me. I want to past my ecam
Answer:
No answer is be 28%
5+9+7+4=25
7/25 + .28 =28%
Step-by-step explanation:
Bran walked a total of 16 kilometers by making 4 trips to his grandfather's place. How many trips will Bran have to make in all to walk a total of 28 kilometers?
Bran has to make in all to walk a total of 28 kilometers : 4 x 2 = 8 ( trips )
ok done. thank to me :>
Expand.
Your answer should be a polynomial in standard form.
(x - 5)(x – 4) =
Answer:
[tex]x^2-9x+20[/tex]
Step-by-step explanation:
Use the distributive property.
[tex](x-5)(x-4)[/tex]
[tex]x^2-5x-4x+20[/tex]
[tex]x^2-9x+20[/tex]
This is already in standard form.
Hope this helps!
Katrina wants to earn at least $600 this week in commission. What is the minimum amount she needs to sell in order to earn $600 if she earns a 7.5% commission on everything she sells? Round your answer to the nearest dollar if necessary.
__________
Answer:
$8000
Step-by-step explanation:
For every $1000 Katrina sells, she earns $75. This is becuase when we multiply what she sold by her commision price, we get what she made
If we want to find how much she needs to make to earn $600, we can divide 600 by 75. This gives us 8. So, she will need to sell $8000 in order to earn $600
kayla ran 10 miles it took her 60 minutes how many minutes did it take her to run each mile?
Answer: 4 hours 30 minutes
Step-by-step explanation: 36/8 = 4.5 hours
hours = 4, minutes = 0.5*60 = 30
Please help
4(x+8)+2=1/2(8x+60)
Answer:
This is a contradiction
Simplify the expression : 8-(x-4)-2x+3(5-x) ?
Answer:
-6x+27
Step-by-step explanation:
thanks + brainliest = explanation
if needed, of course :)
I’m really bad at math please help me
Which of the numbers below is greater than 0.75? Select all that apply. A) 32 B) −0.5 C) 1.2 D) −14 E) −2.4
Answer:
A and B
Step-by-step explanation:
becuz
Which equations are true equations?
Select all correct answers.
62−22=4+7⋅22
54 ÷ 6 + 3² = 4 + 4²
8042=10−22−1
19−2⋅5=9⋅73−9
We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:
54 ÷ 6 + 3² = 4 + 4²
We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.
1) 62 − 22 = 4 + 7⋅22
We just solve each side, we will get:
40 = 158
This is not a true equation.
2) 54 ÷ 6 + 3² = 4 + 4²
9 + 9 = 4 + 16
18 = 18
This is a true equation.
3) 8042 = 10 − 22 − 1
Clearly, this is not a true equation.
4) 19 − 2⋅5 = 9⋅73 −9
19 - 10 = 657 - 9
9 = 648
This is not a true equation.
Then the only true equation is the second one:
54 ÷ 6 + 3² = 4 + 4²
If you want to learn more, you can read:
https://brainly.com/question/21834784
answer and please show work.
Mahmoud uses 3 cups of apple juice for every 4 cups of cranberry juice
.
to make a fruit drink.
a
How many cups of apple juice does Mahmoud use for 21 cups of the
combined fruit drink?
Answer:
9 cups of apple juice
Step-by-step explanation:
15.6 degrees Fahrenheit in 13 minutes
Answer:
1.2 degree Fahrenheit per minute.
per minute.
Step-by-step explanation:
We are supposed to find the unit rate for 15.6°F in 13 minutes.
To find the unit rate for our given scenario, we will divide 15.6 by 13 as:
Therefore, our required unit rate would be 1.2 degree Fahrenheit per minute.
Which statement best explains why the sum of the areas of the two white squares in Figure two is the same as the area of the white square in figure one
Answer:
Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.
Step-by-step explanation:
Statement 1:
In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.
Explanation:
Total area of each square = ab*ab
Fig 1 has 4 triangle each with area = ab/2
Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab
Fig 2 has 2 non-white rectangles each with area = a*b
Total area of non-white rectangles in fig 2 = 2*ab
As non-white area of fig 1 = non-white area of fig 2
The remaining white area must also be equal.
During a restaurant promotion, 3 out of every 25 customers receive a $10 coupon to use on their next visit. If there were 150 customers at the restaurant today, what was the total value of the coupons that were given out?
A)$10
B) $18
C) $150
D) $180
Answer:
$180
Step-by-step explanation:
150 ÷ 25 = 6
6×3 = 18
18×10 = 180
The total value of the coupons that were given out is $180.
Correct option is (D).
What is Arithmetic?The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
3 out of every 25 customers receive a $10 coupon to use on their next visit.
Customers at the restaurant today = 150
For 25 customers = 3 coupons
For (25 × 6 = 150) customers = (3 × 6 = 18) coupons
Total value of the coupons = 18 × 10 = $180
Hence, the total value of the coupons that were given out is $180.
To learn more about arithmetic, click:
brainly.com/question/23848329
#SPJ2