Answer:
y + 1 - 5(x - 2)
Step-by-step explanation:
Borrow (2, -1): Substitute 2 for x and -1 for y, and -5 for m in y = mx + b:
-1 = -5(2) + b. Then b = 9, and the desired equation in point-slope form is:
y - (-1) = -5(x - 2), or
y + 1 - 5(x - 2)
The point-slope form of a line with slope -5 that contains the point
(2,-1) is y+1=-5(x-2). Therefore, option B is the correct answer.
What is the point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
The equation of the point slope form is: (y - y₁) = m(x - x₁)
where, (x, y) is a random point on the line and m is the slope of the line.
Given that, a line with slope -5 that contains the point (2, -1).
Substitute m=-5 and (x₁, y₁)=(2, -1) in the point slope form, we get
(y-(-1))=-5(x-2)
y+1=-5(x-2)
y+1=-5x+10
5x+y-9=0
Therefore, option B is the correct answer.
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What is the mean of this data set? 12,17,16,10,20,13,14,14,12,12,19,18
Answer:
14.75 :) please give me brainliest :)
Step-by-step explanation:
Hello There!
Mean: Average of numbers in a set of data.
STEP 1: Add the numbers up. In this case, we would add
12 + 17 + 16 + 10 + 20 + 13 + 14 + 14 + 12 + 12 + 19 + 18 = 177
STEP 2: Divide the sum of the number by the number of digits you added.
We would divide 177 "sum of numbers" by 12 "number of digits" and would
get a quotient of 14.75
The mean for this set of data is 14.75
How many times does 12 go into 32
Answer: the answer is 2
Step-by-step explanation:
12 x 2 is 24
12 x 3 is 36
so it goes into 32, 2 times.
Final answer:
12 goes into 32 a total of 2 full times with a remainder of 8, which can also be expressed as 2 and 2/3 times. The calculation is done using long division.
Explanation:
The question asks how many times does 12 go into 32. This is a division problem where you need to divide 32 by 12. To calculate this, you can use long division. Dividing 32 by 12 gives you 2 with a remainder of 8, since 12 times 2 is 24 and 32 minus 24 leaves 8. Therefore, 12 goes into 32 2 full times with 8 left over, or 2 remainder 8.
Another way to express this is in terms of decimal or fractions. Since 8 is 2/3 of 12, you can also say that 12 goes into 32 2 and 2/3 times. However, if you are strictly looking for how many full times 12 can divide into 32 without considering fractions, the answer is simply 2.
Mr. McGee mowed 4/5 of his lawn. His three sons finished the mowing. Each son mowed the same amount. How much of the lawn did each son mow?
Answer:
1 fifteenth, or 1/15
Step-by-step explanation:
If there are 3 sons multiply the fraction by 3 and then you have 12/15 because 12/15 is equal to 4/5, so the remaining is 3 out of 15, so divide that between the 3 sons and boom, 1/15th per son.
you are dealt one card from a standard 52 card deck. find the probability of being dealt a card greater than 2 and less than 8
The given range is comprised of cards with a value between 3 and 7, inclusive, and there are 4 of each from the available suits. So there are 20 cards that fit the bill.
The probability of drawing 1 such card is
[tex]\dfrac{\binom{20}1}{\binom{52}1}=\dfrac{20}{52}=\dfrac5{13}[/tex]
In a standard 52 card deck, there are 20 cards that are greater than 2 and less than 8. As such, the probability of being dealt one of these cards is 20/52, which is approximately 0.385 or 38.5%.
Explanation:In a standard deck of 52 cards, there are four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King.
In order to find the probability of being dealt a card greater than 2 and less than 8, we need to determine the total number of cards in that range. In each suit, this would be the cards numbered 3, 4, 5, 6, and 7, a total of 5 cards per suit. Therefore, across all four suits, there are 5x4=20 relevant cards. In this case, the favourable outcomes are the 20 relevant cards, and the total outcomes are the 52 cards in the deck. Therefore, the probability of being dealt a card greater than 2 and less than 8 is 20/52, which simplifies to approximately 0.385 or 38.5%.Learn more about Probability here:https://brainly.com/question/22962752
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y=2x square root of 2
Answer:
Step-by-step explanation:
Divide both sides by 2.
you get
y /2=x (2) (2)
y/2 =x (4)
Divide both sides by 4
y/2
------ = x
4
15' 3" − 5' 6"
(iT'S nOT eAsY
Answer:
It's easier than you think
15' 3" = 14 ' 15" so the problem is:
14' 15" - 5' 6" =
9' 9"
Step-by-step explanation:
Pretty sure the answer is 9’9”
what is the center and radius for the circle with equation 2x^2-8x+2y^2+12y+14=0
Answer:
Center : (2,-3)
Radius : sqrt(6)
Step-by-step explanation:
Rewrite this is standard form to find the center and radius.
(x-2)^2 + (y+3)^2 = 6
From this, we can determine that the center is (2,-3) and the radius is sqrt(6)
Answer:
center is (2,-3)
Radius =[tex]\sqrt{6}[/tex]
Step-by-step explanation:
[tex]2x^2-8x+2y^2+12y+14=0[/tex]
To find out the center and radius we write the given equation in
(x-h)^2 +(y-k)^2 = r^2 form
Apply completing the square method
[tex]2x^2-8x+2y^2+12y+14=0[/tex]
[tex](2x^2-8x)+(2y^2+12y)+14=0[/tex]
factor out 2 from each group
[tex]2(x^2-4x)+2(y^2+6y)+14=0[/tex]
Take half of coefficient of middle term of each group and square it
add and subtract the numbers
4/2= 2, 2^2 = 4
6/2= 3, 3^2 = 9
[tex]2(x^2-4x+4-4)+2(y^2+6y+9-9)+14=0[/tex]
now multiply -4 and -9 with 2 to take out from parenthesis
[tex]2(x^2-4x+4)+2(y^2+6y+9)+14-8-18=0[/tex]
[tex]2(x-2)^2 +2(y+3)^2 -12=0[/tex]
Divide whole equation by 2
[tex](x-2)^2 +(y+3)^2 -6=0[/tex]
Add 6 on both sides
[tex](x-2)^2 +(y+3)^2 -6=0[/tex]
now compare with equation
(x-h)^2 + (y-k)^2 = r^2
center is (h,k) and radius is r
center is (2,-3)
r^2 = 6
Radius =[tex]\sqrt{6}[/tex]
The cost to manufacture x pairs of sunglasses can be represented by a function, C(x). If it cost 398 to manufacture 4 pairs of sunglasses, which of the following is true
a) c(4)=99.50
b) c(398)=4
c) c(4)=398
d) c(99.50)=1
can someone solve it and show steps please
The correct answer is c) C(4) = 398, which appropriately links the cost of manufacturing 4 pairs of sunglasses ($398) with the function C(x).
Explanation:The function C(x) represents the cost to manufacture x pairs of sunglasses.
Given that it costs $398 to manufacture 4 pairs, we can substitute these values into the function to find which statement is accurate.
The logic behind this is simple: C(x) is typically understood to be the cost associated with producing x units.
Therefore, when x is the number of units produced, C(x) is the total cost to produce those units.
Substituting 4 into the function C(x) would give us the total cost for 4 pairs of sunglasses.
Thus, we can say C(4) = 398. This matches response option c), which states that C(4) = 398, and is therefore true.
Response options a), b), and d) all incorrectly mix up the inputs and outputs of the cost function and therefore can be disregarded.
PLEASE HELP 10 POINTS
Answer:
Area: 4069.44
Circumference: 226.08
Step-by-step explanation:
The equation for the area of a circle is:
pi(r^2)
So they told us to use 3.14 for pi, the r (radius)is found by dividing the diameter (72) by 2 since
r = d/2
r = 72/2 = 36
plug this into the equation for the area of a circle:
3.14(36^2) = 4069.44
——————————————————————————————————
To find the circumference, use the equation for it:
2 x pi x r or pi x d
Let’s use the second equation, since the diameter is already given
2(3.14)(72) = 226.08
Answer:
Area is 4069.44 m². Circumference is 226.08 m.
Step-by-step explanation:
Area:
a = r²π
a = 36²π
a = 4069.44
Circumference:
c = dπ
c = 72 × 3.14
c = 226.08
Select all the equations where d=4 is a solution
A. 2d+3=11
B.11d+15
C.5d+7=27
D.9+2d=16
E.3d=7
A. 2 • 4 = 8 + 3 = 11 (select)
B. 11 • 4 = 44 +15 = 59 (select only if the solution is 59; the answer was not included)
C. 5 • 4 = 20 + 7 = 27 (select)
D. 2 • 4 = 8 + 9 = 17 (do not select)
E. 3 • 4 = 12 (do not select)
A) 2d + 3 = 11 → 2d = 8 → d = 4, this is right
B) 11d + 15 → this is an expression, so no
C) 5d + 7 = 27 → 5d = 20 → d = 4, this is right
D) 9 + 2d = 16 → 2d = 7 → d = 3.5, this isn't right
E) 3d = 7 → d = 2.3, this isn't right
That means the answers are A and C
Hope this helps!!
If the period of a sinusoidal function is equal to 18 what is it’s period
Final answer:
The period of a sinusoidal function is the amount of time it takes for the function to complete one full cycle.
Explanation:
The period of a sinusoidal function is the amount of time it takes for the function to complete one full cycle. In this case, if the period of the sinusoidal function is 18, then the function will complete one full cycle every 18 units of time. This means that after 18 units of time, the function will have returned to its starting point.
For example, if we have a sinusoidal function f(x) = sin(x), then the period of this function is 2π, because it takes 2π units of time for the function to complete one full cycle. In general, the period of a sinusoidal function can be calculated using the formula T = 2π/ω, where T is the period and ω is the angular frequency.
suppose you rolled a six sided number cube 120 times how many times woul you roll a 6
Answer:
You would roll a 6 about 20 times
Step-by-step explanation:
First you have to find the probability of rolling a 6 one time
There is one 6 and 6 total number
That is a probability of 1/6
Multiply this by the amount of times you roll the cube
1/6 * 120 = 20
The answer is 20
What is the arc length if 0=6pi/5 and the radius is 2cm?
Answer:
s=12pi/5
Step-by-step explanation:
S=theta*r
s=6pi/5(2)
s=12pi/5
i need help REAL fast
Answer:7.25
Step-by-step explanation: when you multiply 7.25 both sides the 7.25 on the left will cancel out the 7.25x leaving x = 29
two lines intersecting at a right angle
Answer:
Perpendicular Lines
Answer:
Step-by-step explanation:
Perpendicular Lines
Jerry has invested $1500 into a savings account that paid him 8.25% interest, what will the balance of his account be after 6 years?
Please Explain!
answer: $2413.50
y=original amount of money(1+ the percent divided by 100)^the number of years is the power
we do this with the 1+ ... because the original amount plus the extra 8.25%
so the equation would be ...
y=1500(1+0.0825)^6
y=1500(1.60904218428)
y=1500(1.609) (I rounded)
y=$2413.50
A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if the salesperson is to have a monthly income of at least $1800?
Answer:
55000
Step-by-step explanation:
1800 - 700 = 1100
1100 / 0.02 = 55000
Omar makes a total of $51.75 selling brownies and muffins at a bake sale if he sells 16 brownies for $2.25 each how many muffins does he sell at $1.75 each?
Answer:
He can make 9 Muffins
Step-by-step explanation:
16*2.25=36
51.75 - 36=15.75 Subtract the total number of selling he made by how much he made with the brownies
15.75/1.75=9 Divide the number you got after subtracting by by how many he is going to sell each of then
Omar made $36 from selling brownies. He made $15.75 from selling muffins, and since each muffin cost $1.75, he therefore sold 9 muffins at the bake sale.
Explanation:To solve this problem, we must first find the total money Omar made from selling brownies. We do this by multiplying the price of each brownie ($2.25) by the number of brownies sold (16), which gives $36. Then we subtract this total from the total money Omar made ($51.75) to find out how much money he made from selling muffins, which is $51.75 - $36 = $15.75.
Next, we divide this amount by the price of each muffin ($1.75) to find out the number of muffins sold, as follows: $15.75 ÷ $1.75 = 9.
So, Omar sold 9 muffins at the bake sale.
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A simplified algebraic expression for the expression, x decreased by 9
I think the answer is in the question itself
x-9
Please help me answer these
Answer:
1 is 27
Step-by-step explanation:
6 What is the answer to this problem
The answer I believe it’s A if not try C
Please help me with this problem i don’t understand it
“What is the distance between (13,15) and (7,-2)
Answer:
13
Step-by-step explanation:
the answer is 13.
Answer is 18.03
See attached photo
solve the equation
y=2x-4, 3x+y=11
Answer:
(3, 2)
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
3x + y = 11 → (2)
Substitute y = 2x - 4 into (2)
3x + 2x - 4 = 11
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = (2 × 3) - 4 = 6 - 4 = 2
Solution is (3, 2)
Answer:
Step-by-step explanation:
this system not equation :
y=2x-4 ....(1)
3x+y=11....(2)
put the value of y by (1) in to (2) :
3x+2x-4 = 11
add4 : 3x+2x =15
5x=15
x=15/5 = 3
but: y = 2x-4
so : y = 2(3) -4
y = 6-4=2
Which graph represents the function f(x)=-x2+5?
Answer:
The graph of given function is shown below.
Step-by-step explanation:
The given function is
[tex]f(x)=-x^2+5[/tex] .... (1)
We need to find the graph of the function.
The vertex form of the quadratic function is
[tex]f(x)=a(x-h)^2+k[/tex] .... (2)
On comparing (1) and (2) we get
[tex]h=0,k=5[/tex]
It means the vertex of the function is (0,5).
The table of values is
x y
-2 1
-1 4
0 5
1 4
2 1
Plot all ordered pairs on a coordinate plane and connect them by a free hand curve.
The graph of given function is shown below.
what is the surface of a cylinder that has a height of 8 and a radius of 10
Answer:
Surface area I'm guessing. 1,130.4
Step-by-step explanation:
The formula for the surface area of a cylinder is: 2*pi*r^2 + 2*pi*r*h.
Plug in the values given.
2*pi*10^2 + 2*pi*10*8
628 + 502.4 = 1,130.4
(If you want the most precise value, use a calculator for pi instead of just 3.14.)
ANSWER
[tex]S A = 1130.4[/tex]
square units.
EXPLANATION
The given cylinder has a height of 8 and a radius of 10.
The formula for calculating the surface area of a cylinder is
[tex]S A = 2\pi \: r(r + h)[/tex]
We substitute r=8 and h=10 into the formula to get:
[tex]S A = 2\pi \: 10(10+ 8)[/tex]
[tex]S A = 360\pi [/tex]
Or using π=3.14
[tex]S A = 1130.4[/tex]
units square.
If this triangle is translated backwards through space, what three dimensional figure will be formed?
A) square pyramid
B) triangular prism
C)rectangular prism
D) triangular pyramid
Answer:
triangular prism
Step-by-step explanation:
the space translated will form straight lines
Answer:
a triangular prism
Step-by-step explanation:
because when a triangle forms a 3d shape it either a prism or cone since it goes backwards it is d
1. What’s the answer to this question?
Answer: I think its no correlation; the dots are scattered...
Hey there!
The answer to this would be C.
There is no correlation.
Notice that the points in the graph are all spread out so we can't draw a line of best for to represent the given data.
In order for there to be a correlation, positive or negative, we need to see a change either down or up.
A basketball player made 11 out 100 attempted free throws. What percent of free throws was made ?
Answer:11%
Step-by-step explanation:
A percent is always a number over 100, so 11/100 = 11%
Answer:
11%
Step-by-step explanation:
Choose the equation below that represents the line passing through the point (2, −5) with a slope of −3
For this case we have that the point-slope equation of a line is given by:
[tex]y-y_ {0} = m (x-x_ {0})[/tex]
Where:
m: It's the slope
[tex](x_ {0}, y_ {0}):[/tex]It is a point
We have to:
[tex]m = -3\\(x_ {0}, y_ {0}): (2, -5)[/tex]
Substituting:[tex]y - (- 5) = - 3 (x-2)\\y + 5 = -3 (x-2)\\y + 5 = -3x + 6\\y = -3x+1[/tex]
ANswer:
[tex]y + 5 = -3 (x-2)\\y = -3x+1[/tex]
ANSWER
[tex]y = - 3x + 1[/tex]
or
[tex]3x + y = 1[/tex]
EXPLANATION
The equation is calculated using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
where m=-3 is the slope and
[tex](x_1,y_1) = (2, - 5)[/tex]
We substitute the the values to get:
[tex]y- - 5= - 3(x-2)[/tex]
Expand
[tex]y + 5= - 3x + 6[/tex]
[tex]y = - 3x + 6 - 5[/tex]
[tex]y = - 3x + 1[/tex]
This is the slope-intercept form.
Or in standard form;
[tex]3x + y = 1[/tex]
solve the equation for y
0.6y + 1.2 = 0.3y - 0.9 + 0.8y
Answer:
y= 1.67
Step-by-step explanation:
0.6y + 1.2 = 0.3y + 0.9 + 0.8y
0.3 = 0.5y
1.67 = y
Answer:
0.6y+1.2=0.3y-0.9+0.8y
+0.9= +0.9
0.6y+2.1=1.1y
-0.6y=-0.6y
2.1=0.5
y=4.2
Step-by-step explanation:
First you want to isolate the variable to one side which is exactly why I added 0.9 to both sides. Then you want to combine like terms. By combining like terms you can now distribute the variable by the value remaining, which led to me getting y=4.2