Answer:
Step-by-step explanation:
(a) The appropriate formula is C = 2πr. Here r = 14 cm, so
C = 2π)14 cm = 28π cm, or (if we take π to be 22/7), C = 88 cm²
(b) We use the same circumference formula: C = 2πr and solve it for r before inserting numeric values:
C 132 m 7(132 m)
r = -------- and in this case, r = ------------------- = ------------- = 21 m
2π [ 2 * (22/7) ] 44
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
3x - 5y = 16
2x - 7y= 7
O
A. x = 1, y= 7
O
B. No solution
O
c. More than 1 solution
O
D. x = 7, y= 1
Answer:
wrong its actually D. x=7, y=1
i just took the test
The solution of the equation is x=7 and y=1, option D is correct
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are 3x - 5y = 16 and 2x - 7y= 7
we have to solve the equations
6x-10y=32...(1)
6x-21y=21...(2)
6x-10y-6x+21y=32-21
11y=11
Divide both sides by 11
y=1
Now plug in y value in any of equation to get x
3x-5=16
3x=16+5
3x=21
x=7
Hence, the solution of the equation is x=7 and y=1, option D is correct
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Is area the same as surface area?
Answer:
Area is almost the same as surface area. However, surface area is more complicated, and you have to split the object that you are measuring into different parts to get their area before you can find the whole surface area.
Step-by-step explanation:
(I hope this helped you)
Answer: No, it is not
Step-by-step explanation:
AREA DEFINITION: Area is 2-dimensional: it has a length and a width. Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width.
SURFACE AREA DEFINITION: The surface area is the sum of the areas of all six sides. To find the area of adjacent sides (Width x Height) x 2 sides. Find the area of ends (Length x Width) x 2 ends. Add the three areas together to find the surface area.
Find a polynomial function with the zeros -2, 3, 5 whose graph passes through the point (6,48)
Answer:
f(x) = 2x³ - 12x² - 2x + 60
Step-by-step explanation:
Given that the zeros are x = - 2, x = 3, x = 5 , then the factors are
(x + 2), (x - 3), (x - 5)
The polynomial is then the product of the factors, that is
f(x) = a(x + 2)(x - 3)(x - 5) ← a is a multiplier
To find a substitute (6, 48) into the polynomial
48 = a(8)(3)(1) = 24a ( divide both sides by 24 )
a = 2 , thus
f(x) = 2(x + 2)(x - 3)(x - 5) ← expand the last 2 factors using FOIL
= 2(x + 2)(x² - 8x + 15) ← distribute the parenthesis
= 2(x³ - 8x² + 15x + 2x² - 16x + 30)
= 2(x³ - 6x² - x + 30) ← distribute by 2
= 2x³ - 12x² - 2x + 60
Using the factor theorem, it is found that the polynomial function is given by:
[tex]p(x) = 2(x^3 - 6x^2 - x + 30)[/tex]
-----------------------------
Factor theorem:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
-----------------------------
Zeros of -2, 3 and 5 mean that [tex]x_1 = -2, x_2 = 3, x_3 = 5[/tex]The polynomial is given by:
[tex]p(x) = a(x - x_1)(x - x_2)(x-x_3)[/tex]
[tex]p(x) = a(x - (-2))(x - 3)(x - 5)[/tex]
[tex]p(x) = a(x + 2)(x - 3)(x - 5)[/tex]
[tex]p(x) = a(x^2 - x - 6)(x - 5)[/tex]
[tex]p(x) = a(x^3 - 6x^2 - x + 30)[/tex]
-----------------------------
It passes through the point (6,48), thus when [tex]x = 6, p(x) = 48[/tex].This is used to find the leading coefficient.[tex]p(x) = a(x^3 - 6x^2 - x + 30)[/tex]
[tex]48 = a(6^3 - 6(6)^2 - (6) + 30)[/tex]
[tex]24a = 48[/tex]
[tex]a = \frac{48}{24}[/tex]
[tex]a = 2[/tex]
Thus, the polynomial is given by:
[tex]p(x) = 2(x^3 - 6x^2 - x + 30)[/tex]
A similar question is given at https://brainly.com/question/24380382
∠1 and ∠2 are a linear pair. m∠1 = x - 29, and m∠2 = x + 61. Find the measure of each angle.
So,
m<1=45, m<2=135
So the right answer is of option D.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Clark is alone in a cave and eager to leave it. Looking at his map of the cave (shown below), Clark sees that there is a special tunnel close to his current location that would take him directly back to the entrance of the cave. How much shorter would it be for Clark to take the special tunnel than for him to follow the main path out of the cave? Round your final answer to the nearest tenth of a meter. Do not round intermediate calculations. Coordinate values are in meters.
Answer:
6.2m is how much he would save
Step-by-step explanation:
i got it right on khan academy good luck
Answer:
6.2 meters
Step-by-step explanation:
I got it right on a test.
HELP ON GEOMETRY!!! PHOTO ATTACHED
Answer: w = 5
Step-by-step explanation:
Since ST ≅ SV, then ∠SUT ≅ ∠SUV
w + 10 = 3w
10 = 2w
5 = w
Please answer CORRECTLY !! Will mark brainliest !!!
Answer:
I think it's 4 but don't hold me to it
Step-by-step explanation:
Convert 5 kg into grams
Answer:
5000
Step-by-step explanation:
the probability that rahul succeeds at any given free throw is 70%
Answer:
ok? wahts the question?
Step-by-step explanation:
A= anl, where
A = area
a = apothem
n = number of sides
1 = length of sides
If a regular polygon has an area of 180 cm2, an apothem of 6 cm and sides 12 cm in
length, how many sides does it have?
Answer:
5 sides
Step-by-step explanation:
Area=1/2aP
180=1/2(6)(12x)
3(12x)=180
36x=180
x=5
What number is shown by the model?
A. 28
B. 2080
C. 208
o
D. 280
Answer:
280
Step-by-step explanation:
each of those squares are 100 and each bar is 10
add up the squares and you have 200
add up the bars and you have 80
add 200 and 80 and you have your answer. 280
Answer:
D
Step-by-step explanation:
Well, the bars, if you count them are ten for each column.
There are 8 bars on the right, so that is 280 - 80 = 200
There are two squares that are ten by ten, so that is 200 - 100 * 2 = 0
In the talent show, 6 students plan to sing, 7 students plan to dance, and 2 students plan to
tell jokes. Rick said that the ratio of singers to joke-tellers is 6 to 2. Leah said that the ratio of
joke-tellers to singers is 1 to 3. Who is correct? Explain why.
Answer:
Rick is correct
Step-by-step explanation:
Answer:
Rick is correct because there are 6 students that plan to sing and there are only 2 students that plan to tell jokes so the ratio is 6 to 2
Step-by-step explanation:
A Labrador Retriever weighs 48 pounds. A Huskie weighs 755 ounces. Which dog weighs more? By how many ounces more?
Answer:
Step-by-step explanation:
One pound is 16 ounces multiply that with 48. You’d get 768.
Subtract that with 755 and get 13 ounces.
Labrador Retriever weights more
HEY GUYS I NEED HELP PLZZ! 20 POINTS?? Plz explain how yall found yo answer plzz!
Math problem: Mara spent 3/5 of her vacation in British Columbia. While in that province, she spent ½ of her time in Vancouver. What fraction of her vacation did Michaela spend in Vancouver? If her vacation lasted 20 days, how many days did she spend in Vancouver?
Which shows all the critical points for the inequality ? , x = 1, and x = 2 x = –6 and x = 2 x = –4 and x = 2 x = 2
Answer:
The variable is the main part, it is the base of the whole thing
The variable is the main part, it is the base of the whole thing that shows all the critical points for the inequality ? , x = 1, and x = 2 x = –6 and x = 2 x = –4 and x = 2 x = 2.
How do you find the critical points of an inequality?Solve a rational inequality.
Determine the critical points–the points where the rational expression will be zero or undefined. Use the critical points to divide the number line into intervals. Test a value in each interval. Above the number, the line shows the sign of each factor of the rational expression in each interval.
How do you find the critical points of a function?To find the critical points of a function y = f(x), just find x-values where the derivative f'(x) = 0 and also the x-values where f'(x) is not defined. These would give the x-values of the critical points and substituting each of them in y = f(x) will give the y-values of the critical points.
Learn more about critical points for the inequality at
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If the probability of turning left is 0.5 and the probability of
turning right is 0.5 for each mouse, what is the probability that ONLY ONE
of the two mice will turn left? *
Answer:
0.5
Step-by-step explanation:
The probability that the first mouse turns left and the second mouse turns right is 0.5 × 0.5 = 0.25.
The probability that the first mouse turns right and the second mouse turns left is 0.5 × 0.5 = 0.25.
So the probability that only one mouse turns left is:
P = 0.25 + 0.25
P = 0.5
Another way of looking at it: the probability that only one mouse turns left is 1 minus the probability that both turn left or both turn right.
P = 1 − (P(both left) + P(both right))
P = 1 − (0.5 × 0.5 + 0.5 × 0.5)
P = 0.5
Function g can be thought of as a scaled version of f(x)=x^2.
Write the equation for g(x).
Answer:
5x to the 2nd power
Step-by-step explanation:
The equation of the newly translated graph is y = 5x².
What is an equation?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The translated graph is represented by the equation y = 5x². The graph of the two equations is attached with the answer below.
Therefore, the equation of the newly translated graph is y = 5x².
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plzz answer quick will give brainiest
Answer:
$13.58
Step-by-step explanation:
3% of $14 is 0.42.
You do 14 - 0.42
Hope this helps!
PLZ HELP ME FIGURE THIS OUT
Answer:b=8
Step-by-step explanation:14-10=4 then you do 4(2)=8
compare 45 cm and 450mm BEST ANSWER GETS A FOLLOW AND MAYBE BRAINLESST
Answer:
Step-by-step explanation:
10mm is 1cm
100mm is 10cm
200mm is 20cm
300mm is 30cm
400mm is 40cm
450mm is 45cm
So 45cm equals 450mm
Answer:
The answer is 45cm = 450mm.
Step-by-step explanation:
Given that 1cm = 10mm so for this question :
[tex]1cm = 10mm[/tex]
[tex]45cm = 10mm \times 45[/tex]
[tex]45cm = 450mm[/tex]
PLEASE HELP ME ASAP! I NEED HELP PLEASE! I need help with question number 35 please!
Answer:
-2.17 and -7.83
Step-by-step explanation:
[tex]4(x+5)^2=32[/tex]
Divide both sides by 4:
[tex](x+5)^2=8[/tex]
Take the square root of both sides:
[tex]x+5=\pm 2\sqrt{2}[/tex]
Subtract 5 from both sides:
[tex]x=-5\pm 2\sqrt{2}\approx -2.17, -7.83[/tex]
Hope this helps!
Answer:
-92(I think I am wrong, now that I think of it.)
Step-by-step explanation:
4(x+5)^2= 32= 4x+20^2= 32= 4x+400= 32= 4x= -368= -92
20^2= 400
32-400= -368
-368/4= -92
charlotte is about 200 miles from Jefferson NC. How far apart would they be on a map with a scale of 1 in = 19 miles?
Answer:
10.52 inches away
Step-by-step explanation:
200/19
PLEASE ANSWER THIS QUESTION ILL MARK YOU AS THE BRAINLIEST
A fitness club opens with 80 members, Each month the membership increases by 15 members, Which equation represents the relationship between the number of months the club has been opened, x,and the total fitness club Membership,y,?
Answer:
y = 80+ 15*x
members = initial membership + growth* months
y = 80+ 15*x
A bowl contains a total of 26 blue and red marbles. There are two more red marbles than
blue marbles. How many blue marbles are in the bowl?
Which of the following let statements should you use?
Let x = the number of red marbles. Let x + 2 = the number
of blue marbles.
Let x = the number of blue marbles. Let 2x = the number of
red marbles.
Let x = the number of blue marbles. Let x + 2 = the number
of red marbles.
Answer:
There are 26 total marbles. We will call x the number of blue
marbles. So there are x+2 red marbles. If you add them together you
get x + x + 2....and all that equals 26 (subtract 2 from each side
Step-by-step explanation:
Hope this helps
if A= and B=, find BA.
Answer:
Option d.
Step-by-step explanation:
The given matrices are
[tex]A=\begin{bmatrix}3&2&-4\\ \:5&-5&-3\\ \:4&1&1\end{bmatrix}[/tex]
[tex]B=\begin{bmatrix}2&-4&1\\ \:5&-3&2\\ \:4&4&-5\end{bmatrix}[/tex]
We need to find BA.
[tex]BA=\begin{bmatrix}2&-4&1\\ \:5&-3&2\\ \:4&4&-5\end{bmatrix}\begin{bmatrix}3&2&-4\\ \:5&-5&-3\\ \:4&1&1\end{bmatrix}[/tex]
[tex]BA=\begin{bmatrix}2\cdot \:3+\left(-4\right)\cdot \:5+1\cdot \:4&2\cdot \:2+\left(-4\right)\left(-5\right)+1\cdot \:1&2\left(-4\right)+\left(-4\right)\left(-3\right)+1\cdot \:1\\ 5\cdot \:3+\left(-3\right)\cdot \:5+2\cdot \:4&5\cdot \:2+\left(-3\right)\left(-5\right)+2\cdot \:1&5\left(-4\right)+\left(-3\right)\left(-3\right)+2\cdot \:1\\ 4\cdot \:3+4\cdot \:5+\left(-5\right)\cdot \:4&4\cdot \:2+4\left(-5\right)+\left(-5\right)\cdot \:1&4\left(-4\right)+4\left(-3\right)+\left(-5\right)\cdot \:1\end{bmatrix}[/tex]
[tex]BA=\begin{bmatrix}-10&25&5\\ 8&27&-9\\ 12&-17&-33\end{bmatrix}[/tex]
Hence, option (d) is correct.
-7+ 5Y = -37 simplify your answer as much as possible
Answer:
y = -6
Step-by-step explanation:
To simplify this equation as much as possible, we have to get the variable y by itself.
To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.
-7 + 7 + 5y = -37 + 7
The 7s cancel out on the left side because -7+7 = 0 and so we are left with,
5y = -30
Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.
5y/5 = -30/5
y = -6
HELP ASAP!! THE DEAL IS YOU WILL BE BRAINLIEST
Which of the following phrases does not translate to n - 5?
a number minus five
a number subtracted from five
the difference between a number and five
a number decreased by five
Answer:
a number subtracted from five
Step-by-step explanation:
All the other choices mean n - 5, except this one, which means 5 - n.
Answer:
a number subtracted from
from five
is the answer to the question
The product of two rational numbers is ______ rational.
The product of two rational numbers is always rational
Proof:
Let a = p/q and b = r/s be two rational numbers. We will have p,q,r,s be integers where denominators q and s are nonzero. We cannot divide by zero.
Multiplying a and b gives
a*b = (p/q)*(r/s) = (p*r)/(q*s)
Due to the closure property of integer multiplication, the expressions p*r and q*s are integers. The result we get is in the form of integer/integer. Basically we have two integers being divided. Furthermore, q*s is nonzero as neither q nor s is zero.
Therefore, if a and b are rational, then a*b is also rational as well.
Hi how the day the beat ford to eat ?
Answer:
best food to eat is a mixture of non diary and diary like avocado toast
Step-by-step explanation: