Answer:
7.069 in
Step-by-step explanation:
1.5*1.5* 3.14159265359
Answer:
the answer is 14.79... hope this helps
Two consecutive integers have a sum of 195. Find the integeres
Hey ! there
Answer:
First Integer is 97Second Integer is 98Step-by-step explanation:
The question says that two consecutive Integer have a sum of 195 . And we are asked to find the integers.
For finding integers we are assuming them . So ,
Let the first integer be x .Let the second integer be x + 1 ( This is because in question it's given that they are consecutive integers )Solution : -
According to question ,
First Integer + Second Integer = 195So ,
[tex] \dashrightarrow \qquad \: x + x + 1 = 195[/tex]
Step 1 : Adding like terms ( x and x ) on left side :
[tex] \dashrightarrow \qquad \: 2x + 1 = 195[/tex]
Step 2 : Subtracting 1 on both sides :
[tex] \dashrightarrow \qquad \: 2x + \cancel{1} - \cancel{1} = 195 - 1[/tex]
Simplifying it ,
[tex] \dashrightarrow \qquad \: 2x = 194[/tex]
Step 3 : Dividing with 2 on both sides :
[tex] \dashrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{ 2}} = \cancel{\dfrac{194}{2} }[/tex]
On further calculations , We get :
[tex] \dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{ x = 97}}}} \quad \: \bigstar[/tex]
We know that ,
x = first number✰ Therefore , first number is 97 .
x + 1 = second number97 + 1 98✰ Therefore , second number is 98.
Verifying : -
Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,
97 + 98 = 195195 = 195L.H.S = R.H.SHence , Verified .Therefore , our solution is correct .
#Keep Learning- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Two consecutive integers have a sum of 195. Find the integers
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
The integers are 97 and 98.
[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]
If integers are [tex]\textbf{consecutive,}[/tex] they stand right next to each other.
Example:- 7 and 8. 7 and 8 are consecutive integers because they stand right next to each other.
Now, let the integer be n.
The integer next to n is 1 greater than n, or n+1.
So we set up the following equation:-
[tex]\bigstar{\fbox{n+n+1=195}[/tex]
[tex]\textsf{\underline}}[/tex]Add the n's:-
[tex]\Longrightarrow[/tex] [tex]\sf{2n+1=195}[/tex]
Subtract 1 on both sides:
[tex]\sf{2n=195-1}[/tex]
[tex]\sf{2n=194}[/tex]
Divide by 2 on both sides:-
[tex]\bigstar{\fbox{n=97}[/tex]
Now that we've found the first integer, finding the second integer is easy, because we can subtract the first integer from the sum of both integers:-
195-97=98
So the second integer is 98.
Quick Check:-
97 and 98 are consecutiveThey add up to 195:-97+98=195[tex]\textbf{195=195}[/tex]Since the LHS (left-hand side) equals the RHS (right-hand side), the integers are indeed 97 and 98.Good luck.
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Build a number line to show 4/3
The number line with the number 4/3 graphed can be seen at the end of the answer.
How to show the number in a number line?
A number line is something that we use to show the order of the numbers.
Here, we want to show the number 4/3.
Notice that we can write this as:
4/3 = 3/3 + 1/3 = 1 + 1/3
So we need to identify the 1 in the number line, and then move 1/3 to the right. Below you can see a image where the number 4/3 is graphed on the shown number line.
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Find the midpoint of the 2 coordinates (0,5) and (4,17)
Answer:
(2, 11)
Step-by-step explanation:
Using the information you were give, plug it into this formula:
(x₁ + x₂)/2, (y₁ + y₂)/2
This should give you a new coordinate.
What is the probabillity ?
Answer: the chance that a given event will occur
Step-by-step explanation:
What is angle M in degrees?
5 units to the right of -6 is
Answer:
-1
Step-by-step explanation:
To solve the problem, it is suggested to use a number line.
~Please look at image attached
We know the following:
If the change is going to the right of the initial point, the change is a positive integer, and the initial point will be added by the change.If the change is going to the left of the initial point, the change is a negative integer and the initial point will be subtracted by the change.Statement: 5 units to the right of -6.
Therefore, we know the following:
Initial starting point: -6Change: +5Ending point: -6 + 5 = -1
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Number line:Xaiver earns 45$ to walk the neighbors dog 8 hours during the week how much does xaiver earn ler hour
Answer:
$5.625 (per hour)Step-by-step explanation:
45÷8 = 5.625
calculate the volume of a cone whose base radius is 3 and half cm and vertical height 24cm
The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³
Volume of a coneThe volume of a cone can be represented as follows:
volume = 1 / 3 πr²h
where
r = radiush = heightTherefore,
r = 3 1 / 2 cm = 7 / 2 cm
h = 24 cm
Hence,
volume = 1 / 3 × π × (7 / 2 )² × 24
volume of a cone = 1 / 3 × π × 49 / 4 × 24
volume of the cone = 1 / 3 × π × 1176 / 4
volume of the cone = 1176 / 12 π
volume of the cone = 98π
volume of the cone = 307.72 cm³
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Calculate the portion of each mix that is peanuts, again expressing your answer as a percent. Which recipe has the greatest concentration of peanuts?
Answer:
Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.
Step-by-step explanation:
Chocolate Chunks:
Recipie A calls for a total of ten cups. So 3 cups of chocolate chips are used in Recipe A. The percentage of chocolate chips in the mix is given by 3/10, which can be written as 30%. Recipie B now has a total of 20 cups. So in Recipe B 5/20, which can be written in percentages as 25%. Recipe C now has a total of 25 cups. So 6 cups of chocolate chips are used in the recipe. The percentage of chocolate chips in the mix is given by 6/25, which can be written as 24 percent. Recipie A has the highest percentage of chocolate chips of the three recipes.
Peanuts:
Recipie A calls for a total of ten cups. So, according to the recipe, A 2 cups are peanuts. The amount of peanuts in the mixture is given by 2/10, which can be written as a percentage of 20%. Recipie B calls for 20 cups. So there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/20, which can be written as 35%. Recipie C has a total of 25 cups, so there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/25, which is equivalent to 28 percent in percentages. The recipie b contains the highest percentage of peanuts of the three.
As a result, Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.
a steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one what is the volume of the steel drum in cubic feet
If the height of the cylinder is 3 feet and the base radius of the cylinder is 1 foot. Then the volume of the cylinder will be 9.43 cubic feet.
What is a cylinder?A cylinder is a closed solid with two parallel circular bases and a curving surface connecting them.
A steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one.
Then the volume of the cylinder will be
The volume of the cylinder is given as
Volume = πr²h
where r is the radius and h is the height of the cylinder.
We have
h = 3 ft
r = 1 ft
Then the volume of the cylinder will be
Volume = π x 1² x 3
Volume = π x 3
Volume = 9.4247
Volume ≅ 9.43 cubic ft
Then the volume of the cylinder will be 9.43 cubic feet.
More about the cylinder link is given below.
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4.what is the equation of the line perpendicular to y = 3/4x + 2 and goes
through the point (6, 3)?
a.y = 3/4x + 11
ob.y = 4/3x - 5
o c. y = -3/4x - 5
od. y = -4/3x +11
if sin x =cos 60° what is the value of x
Which inequality describes the graph?
The graph is a linear inequality, and the inequality that describes the graph is y < 2x - 1
How to determine the inequality?From the graph, we have the following features:
y-intercept, b = -1It passes through the points (0,-1) and (1,1)The line is a dotted line and the lower region are shaded; so, we make use of the < inequalityNext, we calculate the slope using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{1 + 1}{1 - 0}[/tex]
m = 2
The inequality is then calculated using:
y < mx + b
This gives
y < 2x - 1
Hence, the inequality that describes the graph is y < 2x - 1
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Please and thank you?
Let's learn the relationship
Area=Length×BreadthSo Area is directly proportional to length
The Garden B has largest area
But hang on this is incorrect it's rectangle other side might be too long .
Spare way(Accurate and correct)We can calculate also
For garden A
2(L+B)=1202(25+B)=120.25+B=60B=35Area
LB
35(25)875ft²For garden B
2(50+B)=12050+B=60B=10Area
50(10)500ft²Surprisingly assumption at first turned right
Garden A has highest area not Garden B
Answer:
Garden A
Step-by-step explanation:
Formula
Perimeter of a rectangle = 2(w + l)Area of a rectangle = w × l(where w is the width and l is the length)
Garden AGiven:
Perimeter = 120 ftOne side length = 25 ftUsing the formula for the perimeter to calculate the missing side length:
Perimeter = 2(w + l)
⇒ 120 = 2(25 + l)
⇒ 120 = 50 + 2l
⇒ 2l = 70
⇒ l = 35 ft
Therefore, the dimensions of Garden A are:
width = 25 ftlength = 35ftArea = w × l
⇒ Area of Garden A = 25 × 35
= 875 ft²
Garden BGiven:
Perimeter = 120 ftOne side length = 50 ftUsing the formula for the perimeter to calculate the missing side length:
Perimeter = 2(w + l)
⇒ 120 = 2(w + 50)
⇒ 120 = 2w + 100
⇒ 2w = 20
⇒ w = 10 ft
Therefore, the dimensions of Garden B are:
width = 10 ftlength = 50 ftArea = w × l
⇒ Area of Garden B = 10 × 50
= 500 ft²
ConclusionAs 875 > 500, Garden A has the largest area.
Question attached and investigates relationship between zeroes and tangents of cubic function
The tangent lines of the cubic function f(x) = x(x - 2)(x - 6) at the zeros 0, 2 and 6 are y = 12x, y = -8x + 16 and y = 24x - 144
Part A: The tangent lines of f(x) = x(x - 2)(x - 6)The cubic function is given as:
f(x) = x(x - 2)(x - 6)
Expand
f(x) = x³ - 8x² + 12x
Differentiate the function
m = 3x² - 16x + 12
At the point x = 0, we have:
m = 3(0)² - 16(0) + 12
m = 12
Also, we have:
f(0) = 0
A linear equation is represented as:
y = m(x - x₁) + y₁
So, we have:
y = 12(x - 0) + 0
y = 12x
At the point x = 2, we have:
m = 3(2)² - 16(2) + 12
m = -8
Also, we have:
f(2) = 0
A linear equation is represented as:
y = m(x - x₁) + y₁
So, we have:
y = -8(x - 2) + 0
y = -8x + 16
At the point x = 6, we have:
m = 3(6)² - 16(6) + 12
m = 24
Also, we have:
f(6) = 0
A linear equation is represented as:
y = m(x - x₁) + y₁
So, we have:
y = 24(x - 6) + 0
y = 24x - 144
The above means that the tangent lines are:
y = 12x, y = -8x + 16 and y = 24x - 144
From the attached graph, we can see that the tangent lines at the zero values x = 0 and x = 2 intersect the graph of f(x) at the zero value x = 6
Part B: The tangent lines of f(x) = (x - a)(x - b)(x - c)The equation is given as:
f(x) = (x - a)(x - b)(x - c)
To prove the statement using a computer algebra system, simply follow the next steps:
Set values for a, b and cInclude the following vertices in the plane: (a,f(a)), (b,f(b)) and (c,f(c))Differentiate f(x) i.e g(x) = f'(x)Include the following vertices in the plane: (a,g(a)), (b,g(b)) and (c,g(c))Lastly, plot the following equations: y = g(a)(x - a) + f(a), y = g(b)(x - b) + f(b) and y = g(c)(x - c) + f(c)See attachment (2) for proof
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pls help!!!
math
what the value??
--
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ - 25} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ - 1 \times 25} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {i}^{2} \times 25} [/tex]
[tex]\qquad \sf \dashrightarrow \: 5i[/tex]
so, correct choice is D
[tex] \sqrt{ - 25} [/tex]
To find:The equivalent value from the given options.
Solution:[tex] \sqrt{ - 25} [/tex]
[tex] = \sqrt{ - 1\times 25} [/tex]
[tex] = \sqrt{ {i}^{2} \times 25 } [/tex]
[tex] = 5i[/tex]
Therefore, the correct answer is option D
Select the correct answer.
Based on the data in this two-way table, which statement is true?
Type of Flower/Color Red Pink Yellow Total
Rose 40 20 45 105
Hibiscus 80 40 90 210
Total 120 60 135 315
A. A flower being pink and a flower being a rose are independent of each other.
B. A flower being pink is dependent on a flower being a rose.
C. A flower being a rose is dependent on a flower being pink.
D. A flower being pink and a flower being a rose are the same.
Answer: The answer would be A. A flower being pink and a flower being a rose are independent of each other.
Step-by-step explanation:took the test and it was correct on edmentun!!
Eric is painting & wooden cylinders. Each cylinder has a radius of 6.2 inches and a
height of 12.4 inches. Eric can paint 50 square inches of wood using one pint of paint.
How much paint will Eric need to paint all the wooden cylinders?
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST
When a shape has 4 inside angles, the sum of the angles need to equal 360 degrees. This shape has 2 90 degree angles.
Angle DAB = 360 - 90-90 -155 = 25
Answer: 25 degrees,
Answer:
I got u, maybe.
In a triangle, all angles add up to 180, so it might be 180, you already got 155.
Step-by-step explanation:
PLEASE SOMEBODY HELP! I’ve been stuck on this question for nearly 5 hours because I literally have no idea what to do somebody please help
Answer:
Well We need to get rid of 1200 mb so your estimated guess would be to delete~2523~ photos If i get this wrong Im very sorry.
Step-by-step explanation:
Find the missing measures in each parallelogram
help!!
Answer:
y=8
Step-by-step explanation:
SR=2×SG
AND SG=GR
3y-16=2×4
3y-16=8
3y=8+16
3y=24
y=8
The point P has coordinates (5, 7) The point Q has coordinates (-1,-1) Find the length of the line segment PQ.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad Q(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-1 - 5]^2 + [-1 - 7]^2}\implies PQ=\sqrt{(-6)^2 + (-8)^2} \\\\\\ PQ=\sqrt{36+64}\implies PQ=10[/tex]
Pls help me this is hard!!
Answer:
27.5
Step-by-step explanation:
<DAC is an inscribed angle that subtends a half circle, so m<DAC = 90°.
Triangle DAC is a right triangle.
CD = 30
AD = 12
(AC)² + (AD)² = (CD)²
(AC)² + 144 = 900
AC = √756
AC = 27.5
The diameter of a circle is 10 ft. Find the circumference to the nearest tenth to the nearest tenth. (Urgent)
Answer:
31.42ft
Step-by-step explanation:
diameter = 10
radius = diameter ÷ 2
r = 10 ÷ 2
r= 5
Circumference = 2(pie)(r)
= 2(22÷7)(5)
= 31.42ft
Answer:
C ≈ 31.4 ft
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
C = π × 10 = 10π ≈ 31.4 ft ( to the nearest tenth )
Fiona can type 60 words a minute.
How many words can be typed in 10.5 minutes?
Answer:
630 word
10.5 minute: 10×60+0.5×60=600+30=630 second
60 word 60second
? word 630 second
?=630
Step-by-step explanation:
630 words !?! Because 10.5×60=630
Maths question
Write an algebraic expression for each of the following
Answer:
a) 3n+5
b) n+16
c) [tex]\frac{n-9}{2}[/tex]
d) [tex]\frac{x-u}{x+u}[/tex]
helppp need answers asap
The number of cookies baked by Tanya in 12 batches of 18 cookies per batch including 70 cookies of Monday is 286.
What is mathematical model or function?A mathematical model or function is the model which is used to explain any system, the effect of the components by study and estimate the functions of systems.
The total number of cookies made by Tania on the Monday is 70 and want to make more than this on Tuesday.
The capacity of the pan is to cook 18 cookies per batch. The function she used to predict the number of cookies is,
y=70+18(x)
Here, x is the number of batches.
The cookies baked by her in 12 batches,
y=70+18(x)
y=70+18(12)
y=286.
Thus, the number of cookies baked by Tanya in 12 batches of 18 cookies per batch including 70 cookies of Monday is 286.
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Find the sum or type "impossible" [3 -8]+[4 -5 -6]
Algebra 2 (On Acellus)
The sum of the given expression will be equal to -12.
What is an Algebra?
Algebra is the study of mathematical symbols and the rules for manipulating them in formulas; it is a common thread that runs through practically all of mathematics.
The solution of the given expression will be:-
= [ 3 - 8 ] + [ 4 - 5 - 6 ]
= [ -5 ] + [ -7 ]
= [ -12 ]
Therefore the sum of the given expression will be equal to -12.
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2)
8q+6=4q-14
What is The answer ?
Answer:
q=-5
Step-by-step explanation:
8q+6=4q-14
Remove q from one side
8q+6=4q-14
-4q -4q
4q+6=-14
Remove 6 from both sides
4q+6=-14
-6 -6
4q=-20
Divide 4 to isolate q
4q/4=-20/4
q=-5
Please someone help me with this
Answer:Around 14.7 minutes
Step-by-step explanation:
if q= the amount of time, and p=18 you do 12*18 is 216 and radical 216 is 14.6969, (nice). Please let me know if i am inncorrect i am not 100% sure.
