Answer: [tex]\Large\boxed{y-1=\frac{4}{5} (x+2)}[/tex]
Step-by-step explanation:
Given the requirement for function
Point-slope form : y - y₁ = m (x - x₁)
m = slope(x₁, y₁) = Any points on the lineGiven information
m = 4/5
Point = (x₁, y₁) = (-2, 1)
Substitute values into the function form
y - y₁ = m (x - x₁)
y - (1) = (4/5) (x - (-2))
Simplify the function
[tex]\Large\boxed{y-1=\frac{4}{5} (x+2)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
HELP
answer the questions 61 and 62 SHOW UR WORK please i’ll mark brainliest
help me
Answer:
Step-by-step explanation:
3m
2. What is the volume of this object?
1m
2 m
6 m
4 m
3 m
Answer:
60m3
Step-by-step explanation:
my son got the right anser
Answer:
60m^3
Step-by-step explanation:
The formula for volume of a rectangular prism is height*width*depth
We can see two distinct shapes here
First, we find the volume for the bigger shape
We can see the measurements that pertain to it...
Width is 6m, depth is 3m, and height is also 3m
Multiply those three, you get 54m^3
Now the smaller shape...
1m in width, 2m in height, and 3m in depth
Multiply those, get 6m^3
Add the two shapes together, 54+6=60m^3
Evaluate f(-3) for f(x) = 2^x
a. 1/8
b. -8
c. 8
d. -6
Answer:
A
Step-by-step explanation:
f(-3) = 2^-3
to get rid of a negative in an exponent, move the whole thing to the denominator.
1/(2^3)
2^3 = 2×2×2
1/(2×2×2)
1/8
PLEASE HELP!!! This table shows the profit for a company (in millions of dollars) in different years. The quadratic regression equation that models these data is y=-0.34x^2+4.43x +3.46. Using the quadratic regression equation, what was the predicted profit in year 4?
Answer:
15740000 million dollars in profit in year 4
Step-by-step explanation:
Now since you didn't provide the table, im going to have to assume the years are going to be the X while the Y is going to be profit.
Using the equation you provided y=-0.34x^2+4.43x +3.46, we can simply put 4 as our x value (since x represents years) and we would get 15.74. Now you have to remember to convert it into millions to show the profit so 15.74 times 1,000,000 would be 15740000 million dollars
3-12x4-6x²
Expression in standard form:
Leading Coefficient:
Answer:
Below in bold.
Step-by-step explanation:
Standard form:
-12x⁴ - 6x² + 3.
Leading Coefficient:
-12.
A cell phone carrier introduced a new strategy to increase their number of subscribers. The function below represents the increase in number of subscribers, where f(t) represents the number of subscribers and represents the time in months
The cell phone carrier had 250 subscribers before the strategy was introduced. After the new strategy is introduced, the number of staffs increased by a factor of 1.4.
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let f(t) represents the number of subscribers and t represents the time in months. Hence:
[tex]f(t) = 250(1.4)^t[/tex]
a = 250, b = 1.4
The cell phone carrier had 250 subscribers before the strategy was introduced. After the new strategy is introduced, the number of staffs increased by a factor of 1.4.
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Answer: 250, 1 month, and 1.4
What is the next number in the arithmetic sequence below??
I think it's D but I'm not sure.
40 cm³ of water is poured into an empty measuring cylinder. A stone of mass 129g is put into the cylinder. If the density of the mixture of the stone is 8.6g/cm³, find the new reading of the cylinder.
Step-by-step explanation:
I assume the measuring cylinder measures the cm³ of its normally liquid content.
because for anything else we would need more information about the dimensions of the cylinder.
and so, originally the cylinder shows 40 cm³.
after dropping the stone in, how many cm³ of water is the cylinder then showing ?
let's first mention some facts we are going to use :
water weighs 1 kg (1000 g) per liter.
and 1 liter fits exactly into a cube of
10 cm × 10 cm × 10 cm = 1000 cm³
so, 1 cm³ water weighs exactly 1 g and has therefore a density of 1 g / cm³.
the stone has a density of 8.6 g / cm³, is therefore heavier than water and sinks (and replaces water correspondingly).
how many cm³ does the stone have (and replaces water) ?
well, it has 129 g, and 8.6 g of the stone fill a cm³.
so, it has
129 / 8.6 = 15 cm³
therefore, as these 15 cm³ of stone replace 15 cm³ of water, this is the same as putting 40 + 15 = 55 cm³ of water into the measuring cylinder.
and the cylinder reads now 55 cm³.
FYI : but there is still only 40 cm³ of water in there.
this is actually used to calculate the density of objects (by first weighing and then dropping them into the water to see how much water they replace).
Answer: 55 cm³.
Step-by-step explanation:
[tex]\displaystyle\\m_{stone}=129\ g\ \ \ \ \ \rho_{stone}=8,6\ \frac{g}{cm^3} \ \ \ \ \ V_{water}=40\ cm^3\ \ \ \ \ V=?.\\ \boxed {\rho=\frac{m}{V} }\\V=\frac{m}{\rho} \\V=V_{water}+V_{stone}\\V_{stone}=\frac{m_{stone}}{\rho_{stone}} \\V_{stone}=\frac{129}{8,6}\\V_{stone }=15\ cm^3.\\V=40+15\\V=55\ cm^3.[/tex]
5- Calculate the radius of a circle whose area is equal to the sum of the areas of 3 circles of radii 2cm, 3cm and 4cm
respectively.
the radius of the new circle =5cm
5cm is your answer love
What is the range of the following set?
28, 45, 12, 34, 36, 45, 19, 20
A. 33
B. 57
C. 45
D. 8
Answer: A. 33
Step-by-step explanation:
Please help me with algebra 2 questions!
Answer:
5B; 7B; 1,024; see answer
Step-by-step explanation:
5.
We can see from the table that
a1 = 5
a2= 5·2 = 10
a3= 5·2·2 = 5·2² = 20
a4 = 5·2·2·2 = 5·2³ = 40
...
[tex]a_{n} = 5*2^{n-1}[/tex]
7.
Is given that the filter removes 90% of contaminated air
after run 1 :
100% air
90% contamination removed for 100% air
100% is 10%+10%+10%+10%+10%+10%+10%+10%+10%+10%
10% is still contaminated air
after run 2:
10% air
90% contamination removed for 10% air
10% is 1%+1%+1%+1%+1%+1%+1%+1%+1%+1%
1% is still contaminated air
after run 3:
1% air
90% contamination removed for 1% air
1% is .1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%
.1% is still contaminated air
11.
Figure 1 = 1 piece
Figure 2 = 4 pieces
Figure 3 = 4² = 16
...
[tex]Figure 6 = 4^{(6-1)} = 4^{5} = 1024[/tex]
12.
[tex](c+d)^{6} \\[/tex]
-we know that the coefficients should be 1, 6, 15, 20, 15, 6, 1
-we start with c to the lowest power 0 and d to the highest power 6 and end with d to the lowest power 0 and c to the highest power 6
[tex](c+d)^{6} = 1*c^{0} d^{6} +6*c^{1} d^{5} +15*c^{2} d^{4} +20*c^{3} d^{3} +15*c^{4} d^{2} +6*c^{5} d^{1} +1*c^{6} d^{0}[/tex]
-we simplify to have the final answer:
[tex](c+d)^{6 } = d^{6} +6cd^{5} +15c^{2} d^{4} +20c^{3} d^{3} +15c^{4} d^{2} +6c^{5} d+c^{6}[/tex]
Seven people are in an elevator which stops at ten floors. In how many ways can they get off the elevator?
The number of ways people can get off the elevator is 604800 ways.
In this question,
Number of people, n = 7
Number of floors, r = 10
The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.
Number of ways people can get off the elevator can be calculated as
⇒ [tex]nP_r=\frac{n!}{(n-r)!}[/tex]
⇒ [tex]10P_{7}=\frac{10!}{(10-7)!}[/tex]
⇒ [tex]10P_{7}=\frac{10!}{(3)!}[/tex]
⇒ [tex]10P_{7}=\frac{(10)(9)(8)(7)(6)(5)(4)3!}{(3)!}[/tex]
⇒ [tex]10P_{7}=(10)(9)(8)(7)(6)(5)(4)[/tex]
⇒ 604800 ways.
Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.
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Using the image, find the midpoint of the line segment. Reduce all fractions and enter using a forward slash (i.e. "/").
if a skip rope is a meter long and its a cm less how much is it pls answer
Answer:
99cm
Step-by-step explanation:
A meter is equal to 100cm
The rope is a metre (m) long but a centimetre (cm) less.
100cm - 1cm = 99cm
What is the slope of the line that passes through
the points (2,
-4) and (5, 2)? Write your
answer in simplest form.
Answer:
2
Step-by-step explanation:
slope : ( The amount y increases , when x is increased by 1 )
slope : { y2 - y1 / x2 - x1 }
slope : y2 = 2
y1 = -4
x2 = 5
x1 = 2
You must minus the values in the formula to find the slope line that passes through the points:
slope : { y2 - y1 / x2 - x1 }
slope : (2) - (-4) / (5) - (2)
=> 2 + 3 / 3
=> 6/3
=> 2
Text explanation:
Difference between both y-coordinates. = 6
Difference between both x-coordinates. = 3
Divide the difference between y and x. =
y/x =2
Which means the slope of the line that passes through the points (2,-4) and (5,2) is 2.
Hope this helps! Sorry it took so long! ⸜(｡˃ ᵕ ˂ )⸝ xx
The slope of the line that passes through the points (2, -4) and (5, 2) is 2.
What is Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
The slope of the line that passes through the points (2, -4) and (5, 2) can be calculated as shown below,
Slope = (y₂-y₁)/(x₂-x₁) = [2 - (-4)] / (5 - 2)= 6/3 = 2
Hence, the slope of the line that passes through the points (2, -4) and (5, 2) is 2.
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A company is replacing cables with fiber optic lines in rectangular casing bcde. if segment de = 2.5 cm and segment be = 3 cm, what is the smallest diameter of pipe that will fit the fiber optic line? round your answer to the nearest hundredth.
3.9 cm is the smallest diameter of pipe that will fit the fiber optic line.
What is diameter?
Diameter is the full length of the circle running from the edge, through the midpoint, all the way to the other side. That is this whole length right here. The diameter of a circle is represented by the letter d.we know that
The diameter of the circle is equal to BD
Applying the Pythagoras Theorem
BD² = BE² + DE²
substitute the given values
BD² = (3)² + (2.5)²
BD² = 9 + 6.25
BD² = 15.25
BD = √15.25
BD = 3.9 cm
Therefore , 3.9 cm is the smallest diameter of pipe that will fit the fiber optic line.
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3(x - 5) = 2(x - 5) + x
Solve for x please helppp
Answer: No solution
Distribute the parenthesis
3x-15=2x-10+x
Combine like terms
3x-15=3x-10
This answer has no solution for x.
5. Mr. Griffin asked the students to form the number eighty-four million, five
hundred thirty thousand, two hundred sixteen. Ben still had the number card
with the 3. In what place was Ben standing? Show your work in the space
below. Remember to check your solution.
Answer:
Ten thousands place
Step-by-step explanation:
84 530 216
Frm here u can see that the 3 is in the ten thousands place
Determine the most probable next term in each list of numbers.
Answer:
23. 216
24. 56
25. 52
for 26, 27 i'll try to calculate the answer, sorry
A boardwalk game of chance costs $1 to play. you have a 25% chance of winning $1 back, a 20% chance of winning $2 (your $1 back, plus an additional $1), and a 10% chance to win $5 (a gain of $4). what is the expected value of playing the game if you lose your bet 45% of the time?
Expected value of playing the game = $0.8
What is cost ?
Cost denotes the amount of money that a company spends on the creation or production of goods or services. It does not include the markup for profit. From a seller's point of view, cost is the amount of money that is spent to produce a good or product.
Cost of playing = $2
Expected return
10% chance to win $1 = $1 10% = $0.1
25% chance to win back $2 = $2 25% = $0.5
50% chance to win $5 = $5 50% = $2.5
15% chance to lose $2 (being cost) = $2 15% = ($0.3)
= $0.1 + $0.5 + $2.5 - $0.3 = $2.8
Now for this we have to pay fixed cost $2
Thus, expected value of playing game = $2.8 - $2 = $0.8
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Measure of angle TRV?
Answer:
130 degrees
Step-by-step explanation:
We know (x-10)+(2x+10) is 180 degrees.
So first we need to find x. (x-10)+(2x+10)=3x
3x=180
x=60
Angle TRV is 2x+10.
If we input 60 in the place of x, it is 2(60)+10=120+10=130.
The answer is 130 degrees.
Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.
p(x) = –7x2 + 42x + 17
p(x) = –7(x2 – 6x) + 17
(StartFraction negative 6 Over 2 EndFraction) squared = 9; p(x) = –7(x2 – 6x + 9) + 17
p(x) = –7(x – 3)2 + 17
When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?
In step 1, he did not put the function in standard form correctly.
In step 2, he should have also factored –7 from the constant term, 17.
In step 3, he did not subtract –7(9) to keep the function equivalent.
In step 4, he did not write the perfect square trinomial correctly as a binomial squared.
Answer:
step 3
Step-by-step explanation:
he should have subtracted 9 to the outside.
whatever you do to the inside you must do to the opposite to the outside
so your final form must be -7(x-3)^2 + 8
Which equation shows the commutative property of addition? 4 3 = 3 4 1(3) = 3 (2 7) 12 = 2 (7 12) 4 0 = 4
The equation which shows the commutative property of addition is (A) 4+3=3+4.
What is the commutative property of addition?The commutative property is concerned with arithmetic operations such as addition and multiplication. It indicates that switching the order or position of two numbers while adding or multiplying them has no effect on the outcome. For example, 4 + 5 equals 9, and 5 + 4 equals 9.So,
The commutative property for addition states that, a + b = b + a .
Where a, b is any number.
The above condition is satisfied by the equation
4 + 3 = 3 + 47 = 7Therefore, the equation which shows the commutative property of addition is (A) 4+3=3+4.
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The correct question is given below:
Which equation shows the commutative property of addition?
A. 4+3=3+4
B. 1(3)=3
C. (2+7)+12=2+(7+12)
D. 4+0=4
During the season, the Rangers played 25 games. They won 14 of the games.
What fraction and percent of the games did they lose? Show your work in the
space below. Remember to check your solution.
Answer:
See below
Step-by-step explanation:
Out of 25 games, they won 14
Fraction won = won / total = 14 / 25
Percent won = won /total * 100 % = 14/25 * 100 = .56 * 100 % = 56 %
To find the number of games lost
25-14 = 11
Fraction won = won / total = 11 / 25
Percent won = won /total * 100 % = 11/25 * 100 = .44 * 100 % = 44 %
To check your work, the percent total should be 100
56+44 = 100
What tow numbers have a product of 52 and,when the larger number is divided by the smaller number, a quotient 4?
The numbers are 14.42 and 3.6055.
What is a dividend?It is the whole which is to be divided into different equal parts. For example, if 10 divided by 2 is 5, then 10 is the dividend here, which is divided into two equal parts whereas 2 is the divisor, the quotient is 5 and the remainder is 0.
We can write the system of equations
x*y=52 .......(1)
[tex]\frac{x}{y}[/tex]=4 ........(2)
We can use substitution to solve
From equation (2) we get,
x = 4y .......(3)
now substitute in equation (1)
4y*y = 52
[tex]4y^{2} = 52[/tex]
[tex]y^{2} = \frac{52}{4}[/tex]
[tex]y = \sqrt{13}[/tex]
y = 3.605
We can solve for x = ?
from equation (3)
x = 4y
x = 4*3.605
x = 14.42
Hence, The numbers are 14.42 and 3.6055.
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PLS HELP ITS MATH PLS
[tex] \: \: \: \: \: \: \: y = \frac{ - 7x}{8} + 4 \\ \: \: \: \: \: \: multiply \: all \: by \: 8 \\ \: \: \: \: \: \: \: \: 8y = - 7x + 32 \\ \: \: \: \: \: \: \: \: \: 7x + 8y = 32[/tex]
( 7 , 8 , 32 )where should i place the points!! help please
What is the volume of this rectangular prism? 1cm,6cm,2cm
Step-by-step explanation:
The result is 12 cm³ because to get the volume of a figure you have to multiply all the characters
Given y = [tex]\frac{2x-5}{x^{2} -2}[/tex], find the value of [tex]\frac{dy}{dx}[/tex] at x = 2.
▪ [tex]\bold{\dfrac{2x-5}{x^{2} -2}}[/tex]
▪ [tex]\bold{\dfrac{dy}{dx}}[/tex]
[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]
» [tex] \tt{For \: \: y,}[/tex]
[tex]\longrightarrow\sf{y=v \dfrac{2x - 5}{ {x}^{2} - 2} }[/tex]
[tex]\longrightarrow\sf{\dfrac{dy}{dx} = \cfrac{ ( {x}^{2} - 2)(2) - (2x - 5)(2x)}{( {x}^{2} - {2}^{2} )}}[/tex]
[tex]\longrightarrow\sf{\cfrac{2 {x}^{2} - 4 - {4x}^{2} + 10x}{ ({x}^{2} - {2}^{2} )}}[/tex]
[tex]\longrightarrow{={ \boxed{\sf \cfrac{ - 2 {x}^{2} - 4 + 10x}{ ({x}^{2} - {2}^{2} )}}}}[/tex]
» [tex] \tt{At \: \: x = 2,}[/tex]
[tex]\longrightarrow\sf{ \dfrac{ - 2(2) {}^{2} + 10(2) - 4 }{( {2}^{2} - 2 {)}^{2} } }[/tex]
[tex]\longrightarrow\sf{\dfrac{ - 8 + 20 - 4}{4} }[/tex]
[tex]\longrightarrow\sf{ \dfrac{8}{4} }[/tex]
[tex]\longrightarrow{\sf = \boxed{\sf {2}}}[/tex] ✓
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
◆ The value of the given differential function at [tex]\sf{x=2}[/tex] is [tex]\sf{2.}[/tex]
Find u special 4 A. 22‾√ 2 2 B. 4 C. 2 D. 2‾√
The value of u in the special triangle is 2√3
How to solve for u in the special triangle?The complete question is added as an attachment
From the attached figure, the value of u can be calculated using the following sine trigonometry ratio
sin(x) = Opposite/Hypotenuse
Where
x = 30
Opposite = u
Hypotenuse = 4√3
Substitute the known values in the above equation
sin(30) = u/4√3
Multiply both sides of the equation by 4√3
u = 4√3 * sin(30)
Evaluate the trigonometry expression sin(30)
u = 4√3 * 1/2
Evaluate the product
u = 2√3
Hence, the value of u in the special triangle is 2√3
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