The number that could be divided up either into bags of 18 marbles or into bags of 42 marbles is 126.
How to find that number?
The number that could be divided up either into bags of 18 marbles or into bags of 42 marbles, with no marbles left over in each case, is the lowest common multiple between these two numbers.
By decomposing these numbers as a product of primes, we get:
18 = 2*3*3
42 = 2*3*7
Notice that the first two prime factors are the same, but the third one changes. To get the first common multiple, we need to multiply both numbers by the third factor (the different one) of the other.
We will get:
18*7 = 126
42*3 = 126
Then 126 is the smallest number that can be divided by 18 and 42.
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Which of the following functions is graphed below?
The option that is the functions is graphed below is known as option A = Y= (x+4) -2.
What is the function about?The function graphed above is Y=|x+4|-2 because when you solve for the graphs, the number in the x-axis is always changed or turned to the other side and there one can see that it would be -4 would be +4, and +4 and also -4.
Note that
Y = (x+4) -2.
x = (0 + 4) - 2
x = 4-2
x =2
Therefore, plug x into the equation.
Y = (x+4) -2.
= ( 2 + 4) - 2
= (6) -2
= 4
Therefore, The option that is the functions is graphed below is known as option A = Y= (x+4) -2.
See full question in the image attached.
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Find the maclaurin series for f(x) using the definition of a maclaurin series. [assume that f has a power series expansion. Do not show that rn(x) → 0. ] f(x) = 5(1 − x)−2
Recall that for |x| < 1, we have
[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]
Differentiating both sides gives
[tex]\displaystyle \frac1{(1-x)^2} = \sum_{n=0}^\infty n x^{n-1} = \sum_{n=0}^\infty (n+1) x^n[/tex]
so that the Maclaurin expansion of the given function is
[tex]\displaystyle \frac5{1-x} = \boxed{\sum_{n=0}^\infty 5(n+1) x^n} = 5 + 10x + 15x^2 + 20x^3 + \cdots[/tex]
Use the figure below to find the missing sides and angles.
Answer:
AC = BC = 5
AB = 5√2
∠A = ∠B = 45
∠A = 90
Step-by-step explanation:
AC = 5 ( Reason : 5 squares are present in between A and C )
Similarly,
BC = 5
By Pythagoras theorem,
(AB)² = (AC)² + (BC)²
= 5² + 5²
= 2 * 5²
(AB)² = 2 * 5²
AB = 5√2
Since, sides AC and BC are equal,
∠A = ∠B = 45
Since, AC is perpendicular to BC,
∠A = 90
What is the value of X and the Segment AC is
Answer:
d)14
Step-by-step explanation:
use Pythagoras
a² = b² ,+ c²
50² = 48² + c²
2500 - 2304 = c²
196 = c²
√196 = c
c=14
Anyone mind helping me solve this inequality? Step by step
By decomposing the figure in simpler shapes, we will see that the total area is:
a = 180 cm²
How to find the area of the composite figure?
Remember that the area of a rectangle of width W and length L is:
A = L*W
And the area of a triangle with base B and height H is:
A = B*H/2.
Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.
So the area of that part is:
A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²
Now, the bottom triangle has a base of 12 cm, and a height of:
15cm - 6cm = 9cm
Then its area is:
A' = 12cm*9cm/2 = 54cm²
This means that the total area of the figure is:
total area = 54cm² + 54cm² = 108cm²
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For the polynomial function, find the requested value: f (x) = 10x2 − 4x − 5; f (−2)
The value of f(-2) in the polynomial is 43
How to evaluate the polynomial?The polynomial function is given as:
f(x) = 10x^2 − 4x − 5;
To calculate f (−2), we substitute -2 for x in f(x).
So, we have:
f(-2) = 10(-2)^2 - 4(-2) - 5
Evaluate the expression
f(-2) = 43
Hence, the value of f(-2) in the polynomial is 43
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I will give BRAINLIEST
Half of the road the boy walked at a speed of 6 m / min, the other half - at a speed of 4 m / min. Calculate the average walking speed of a boy
Answer:
5
Step-by-step explanation:
6 + 4 is 10
Half of 10 is 5
a scientist notes that the number of bacteria in a colony is 50.3, hours later she notes that the number of bacteria has increased to 80. if this rate of growth continues, how much more time will it take for the number of bacteria to reach 1119?
The time it would take for the bacteria to reach 1119 is 5.83 hours
Calculations and Parameters:Given the function:
[tex]Pt= P_0e^k^t[/tex]
Initial amount= 50amount after 3 hours= 80To find the exponential growth;
80 = [tex]50e^k^*^3[/tex]
[tex]k= 1.6/3\\k= 0.533[/tex]
If there is a constant growth, then to get to 1119:
1119= [tex]50e^0^.^5^3^3^*t[/tex]
3.8 = 0.533*t
t= 5.83 hours
Therefore, it would take 5.83 hours for the bacteria to increase to 1119.
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Howwwww????????
Howwwww
Answer:
How?
I don't know
haha
thanks for the points
Find the area of a circle with diameter 14 m.
Use the value 3.14 for , and do not round your answer.
Be sure to include the correct unit in your answer.
14 m
Answer:
138.16
Step-by-step explanation:
Answer:
153.86 sq m
Step-by-step explanation:
Area if a circle is:
A = pi•r^2
You have diameter = 14, so the radius (the r in the formula) is HALF the diameter. The radius for your circle is 7.
Area = pi•7^2
The directions said to use 3.14 for pi and do not round.
A = 3.14•7^2
A = 3.14•49
A = 153.86m^2
The units are square meters.
80 volunteers take a meningitis test to help doctors see how accurate this test is at identifying whether someone has meningitis or not.
A positive result means the test has identified you as having meningitis.
Of the volunteers, only 16 people have meningitis.
The results show 2 people who have meningitis gets a negative result and 2 people who don't have meningitis get a positive result.
What was the accuracy of the test?
Using it's formula, considering the results, it is found that the accuracy of the test is of 0.95 = 95%.
What is the accuracy of a test?It is given by the number of correct results divided by the number of tests.
In this problem, there were 80 tests, of which 80 - 2 - 2 = 76 had correct results, hence the accuracy is given by:
A = 76/80 = 0.95 = 95%.
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In the figure below, find the value of cose:
8
-|- -|X X|L
A. 1
О в.г
OC. 1
O D.
X
Answer:
D
Step-by-step explanation:
cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{r}[/tex]
Pls help
The question is in the image below
Answer:
retang gular figure of 7 ft and 12 ft
Step-by-step explanation:
i want 100 thx
3(x + 4)(x - 5) answer to that
Answer:
3(x + 4)(x - 5) = 3x² - 3x - 60.
Step-by-step explanation:
3(x + 4)(x - 5)
Combine x + 4 and x - 5 using FOIL, or first, outer, inner, last.
F: x * x = x²
O: x * -5 = -5x
I: x * 4 = 4x
L: 4 * -5 = -20
3(x² - 5x + 4x - 20)
Simplify inside the parenthesis.
3(x² - x - 20)
Distribute the 3 into the equation.
3x² - 3x - 60
The bar graph shows the numbers of reserved campsites at a campground for one week. What percent of the reservations were for Friday or Saturday? Write the percent as a mixed number in simplest form.
Answer:
3/2
Step-by-step explanation:
Write a sine function that has an amplitude of 5, a midline of 3 and a period of 6pi/7
Answer:
y = 5sin(6π/7) + 3
What is the correct expanded form and value!!
Pls hurry asap
Answer:
The answer you selected is correct. Because, [tex]\frac{4}{5} ^{3\\}[/tex]is 4/5, 3 times.
Attached is more explanatory information
Step-by-step explanation:
Answer:
B. [tex]\frac{4}{5}\cdot\frac{4}{5} \cdot\frac{4}{5}=\frac{64}{125}[/tex]
Step-by-step explanation:
(4/5) is raised to a numerical power of 3.
This is NOT [tex]\frac{4}{5}(3)[/tex] and NOT [tex]\frac{4}{5}+\frac{4}{5}+\frac{4}{5}[/tex].Instead, (4/5) is being multiplied by itself 3 times.
This is correctly shown by: [tex]\frac{4}{5}\cdot\frac{4}{5} \cdot\frac{4}{5}[/tex]This can be solved by multiplying the numerators and denominators, which also looks like this: [tex]4^3=64[/tex] and [tex]5^3=125[/tex].The exact form is: [tex]\frac{64}{125}[/tex].The complete expansion is written as: [tex]\frac{4}{5}\cdot\frac{4}{5} \cdot\frac{4}{5}=\frac{64}{125}[/tex]
You have the correct option selected.
Which equation can be used to find marc m n? marc m n 150 = 180 marc m n 150 = 360 marc m n – 150 = 180 marc m n – 150 = 360
The complete question is
"Segment MP is a diameter of circle O. Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.
Which equation can be used to find mArc M N?
mArc M N + 150 = 180, mArc M N + 150 = 360, mArc M N – 150 = 180, mArc M N – 150 = 360"
The Equation m Arc(MN) + 150 = 180 is used to find mArc MN. Thus, the correct option is A.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
It is Given:
Segment MP is the diameter of circle O. Circle O is shown.
Line segment M P is a diameter.
Line segment N O is a radius.
∠NOP = 150°
We need to Find the Equation for m Arc MN
We already know the Diameter subtends 180° as it is the half of Circle 360°
∠NOP = 150°
∴ m(Arc NP) = 150°
The measure of an arc is the measure of its central angle
Therefore,
m Arc Diameter = 180°
m Arc(MN) + m Arc(NP) = 180
m Arc(MN) + 150 = 180
Therefore, the Equation m Arc(MN) + 150 = 180 is used to find mArc MN.
Thus, the correct option is A.
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let x = -5/6 and y 4/3= . select all the expressions that have a positive value. select all that apply: a. x * y b. y/x c. x/y d. x + y e. x - y f. y - x
Step-by-step explanation:
A, ×* y = -10 / 9
B, y / x = -8 / 5
C, x / y = -5 / 8
D, x+ y = 1 / 2
E, x- y = - 13 / 6
F, y- x = 13 / 6
The equation of a circle is given below. Identify the radius and center. Then graph the circle.
x²+(y-2)² =25
The center of the circle is (0,2) and the radius is 5 units
How to determine the radius and the center?The equation is given as:
x² + (y-2)² =25
The equation of a circle is given as:
(x - a)² + (y - b)² = r²
Where:
Center = (a,b)
Radius = r
By comparison, we have:
(a,b) = (0,2)
r² = 25
Evaluate
r = 5
Hence, the center of the circle is (0,2) and the radius is 5 units
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If f(x)=5x^2-3x-1f(x)=5x 2 −3x−1, then what is the remainder when f(x)f(x) is divided by x+10x+10?
Answer:
[tex]5x-53+\frac{529}{x+10}[/tex]
Step-by-step explanation:
Determine the equation of the line with slope 3 that passes through the point M(1, 2).
3x + y = 1
3x - y = -1
3x - y = 1
Ox-3y=-1
Answer:
3x - y = 1
Explanation:
Equation formula:
y - y1 = m(x - x1)
where m is slope, (x1, y1) are coordinates
Find Equation:
⇒ y - 2 = 3(x - 1)
⇒ y = 3x - 3 + 2
⇒ -3x + y = -1
⇒ 3x - y = 1
Equation of line in point slope form
y-y1=m(x-x1)y-2=3(x-1)y-2=3x-3y=3x-13x-y=1
Murat has 2/3 kg of rice that he wants to put into bags that contain 3/10 kg of rice each?
How many bags of rice can Murat fill?
Answer:
Murat can fill 6/13 kg of rice
Step-by-step explanation:
because it has 2/3 kg of rice and 3/10 each and I added 6+2 and 3+10 hope it makes your day
Answer: Murat can fill 6/13 kg of rice
Find the mean from the following data:
1, 8, 3, 2, 8, 8
Answer:
5
Step-by-step explanation:
to find the mean you have to add up all the numbers so
1+8=9
9+3=12
12+2=14
14+8=22
22+8= 30
and then you divide by the amount of numbers which is 30 / 6 = 5
Hope This Helped
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{QUESTION READS}[/tex]
[tex]\large\textsf{Find the mean from the following data:1, 8, 3, 2, 8, 8}}[/tex]
[tex]\huge\textbf{A LITTLE BREAKDOWN OF MEAN}[/tex]
[tex]\large\text{To find the \underline{\underline{mean}} you have to ADD all of the numbers \& DIVIDE}\\\large\text{by the total numbers you have in your data plot..}[/tex]
[tex]\large\text{Here's the formula: }\large\boxed{\rm{\dfrac{the\ sum\ of\ all\ terms}{number\ of\ terms\ you\ have} = your\ \bf mean}}[/tex]
[tex]\huge\textbf{ANSWERING THE QUESTION}[/tex]
[tex]\large\text{Your equation: }\large\boxed{\rm{\dfrac{1 + 8 + 3 + 2 + 8 + 8}{6} = your \ \bf mean}}\\\\\large\boxed{\rm{\dfrac{1 + 8 + 3 + 2 + 8 + 8}{6}}}\\\\\large\boxed{\rm{= \dfrac{9 + 3 + 2 + 8 + 8}{6}}}\\\\\large\boxed{\rm{= \dfrac{12 + 2 + 8 + 8}{6}}}\\\\\large\boxed{\rm{= \dfrac{14 + 8 + 8}{6}}}\\\\\large\boxed{= \rm{\dfrac{22 + 8}{6}}}\\\\\large\boxed{= \rm{\dfrac{30}{6}}}\\\\\large\boxed{\rm{= 5}}[/tex]
[tex]\huge\textbf{MET THE ANSWER OF THE}\\\huge\textbf{QUESTION}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{5}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Find the degrees of freedom in a regression model that has 10 observations and 7 independent variables. a. 2 b. 17 c. 4 d. 3
The degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.
What is a degree of freedom?The amount of rows of training data used to fit the model equals the degrees of freedom.
Total observation = 10
Number of independent variables = 7
Degree of freedom for regression = 10 – 7 - 1
= 2
Thus, the degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.
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Rita is ordering 4 bags of cat food from canada. each bag has a mass of 2.5kg . to determine the shipping costs, rita needs to know the total weight in pounds. what is the weight of the cat food in pounds?
Answer:
total weight in pounds = 22 lb
Step-by-step explanation:
Let's first find out the total weight in kilograms.
total weight = 4 x 2.5 kg = 10 kg
The approximation for kilograms (kg) to pounds (lb) is 1 kg = 2.2 lb.
So if 1 kg is 2.2 lb, 10 kg is 10 times more.
10 kg = 10 x 2.2 lb = 22 lb
ƒ (x) = x² − 2x – 4.
What is the average rate of change for the quadratic function from x = − 1 to x =4
[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= x^2-2x-4 \qquad \begin{cases} x_1=-1\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-1)}{4 - (-1)} \\\\\\ \cfrac{[(4)^2-2(4)-4]~~ - ~~[(-1)^2-2(-1)-4]}{4+1}\implies \cfrac{4~~ - ~~(-1)}{5} \\\\\\ \cfrac{4+1}{5}\implies \cfrac{5}{5}\implies 1[/tex]
Help help help help help me
Answer:
Step-by-step explanation:
Eliminate the parameter:
x = 2cost-1 y = 3sint+ 4
Answer:
Hi,
Step-by-step explanation:
[tex]\left\{\begin {array} {ccc}x&=&2*cos(t)-1\\y&=&3*sin(t)+4\\\end{array}\right.\\\\\\\left\{\begin {array} {ccc}\dfrac{x+1}{2}&=&cos(t\\\dfrac{y-4}{3}&=&sin(t)\\\end{array}\right.\\\\Squaring\\\\\boxed{(\dfrac{x+1}{2})^2+(\dfrac{y-4}{3})^2&=1}\\[/tex]
The curve is an ellipse having (-1,4) as center and half-axis (2 and 6)
5(y+2/5)= -13 i think im solving for y
Answer:
y = -3
Step-by-step explanation:
5(y+2/5) = -13
distributive property ( 5 x y is 5y, 2 divided by 5 is 0.4 x 5 is 2.)
5y + 2 = -13
take away 2 from both sides (2 is currently positive, so doing opposite)
5y + 2 - 2 = -13 - 2
divide by 5 on both sides
5y = -15
y = -3
hope this helps