Answer:
370,000 centimeters
Step-by-step explanation:
1. There are 1000 meters in a kilometer.
2. 3.7 kilometers x 1000 = 3,700 meters
3. There are 100 centimeters in a meter
4. 3,700 x 100 = 370,000 centimeters
what is a factor of x^4 + 8^x 3 + 17 x^2 − 2x − 24 ?
Answer:
factors are (x-1),(x+2),(x+4),(x+3)
Write the equation of the line in fully simplified slope-intercept form.
2H990 S4321
12
11
10
8
7
6
5
-12-11-10-9-8-7-6-5-4-3-2-1₁ 1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
-X
Answer:
what is the price of an article costing rs 2000 after levying 13 value added tax find it
Rebecca earned $115 in simple interest for 8 months at an annual interest rate of 3%. How much money did she start with in her account?
Answer:
$5750
Step-by-step explanation:
For simple interest,
I = prt
115 = p × 0.03 × 8/12
p = 5750
Please solve this question
Hello,
[tex]\boxed{P(X = k) =( {}^{n} _{k}) \times p {}^{k} \times (1 - p) {}^{n - k} }[/tex]
[tex]P(X= k) = ( {}^{12} _{6}) \times 0.51 {}^{6} \times (1 - 0.51) {}^{12 - 6} [/tex]
We have :
[tex]( {}^{n} _{k}) = \frac{n!}{k!(n - k)!} [/tex]
[tex]( {}^{12} _{6}) = \frac{12!}{6!(12 - 6)!} = \frac{12!}{6!6!} = \frac{12 \times 11 \times 10 \times ... \times 1}{2(6 \times 5 \times 4 \times... \times 1) } = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 }{6 \times 5 \times 4 \times 3 \times 2 \times 1} = 924[/tex]
[tex]P(X = k) = 924 \times 0.51 {}^{6} \times 0.49 {}^{6} = 0.2250[/tex]
A muffin recipe that deals 50 muffins and use is 3 tablespoons of baking powder is being scale to heal 100 muffins how much baking powder will be needed convert to smallest measure
The quantity of baking powder needed to bake 100 muffins is 6 tablespoons of baking powder
RatioNumber of muffins : quantity of baking powder
= 50 : 3
How much baking powder is needed for 100 muffins
let
number of baking powder needed = bEquate the ratio of muffins to baking powder
50 : 3 = 100 : b
50/3 = 100/b
cross product50 × b = 3 × 100
50b = 300
b = 300/50
b = 6 tablespoons
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what is the probability that the next person chosen will be in the 40-49 or 50-59 age groups
The probability that the next person chosen will be in the 40-49 or 50-59 age groups is 0.32
How to determine the probability?The frequency table is added as an attachment
From the attached image, we have:
40 - 49 or 50 - 59 = 6869 + 6323
40 - 49 or 50 - 59 = 13192
The probability that the next person chosen will be in the 40-49 or 50-59 age groups is then calculated as:
P = 13192/41557
Evaluate
P = 0.32
Hence, the probability that the next person chosen will be in the 40-49 or 50-59 age groups is 0.32
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Help me with this please!!
Using the permutation formula, it is found that the probability that the CDs end up in alphabetical order is:
[tex]p = \frac{1}{8,204,716,800}[/tex]
For this problem, the order in which the CDs are chosen is important, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
8 CDs are chosen from a set of 21, hence the number of ways they can be chosen is:
[tex]P_{(21,8)} = \frac{21!}{13!} = 8204716800[/tex]
Only one arrangement is in alphabetical order, hence the probability is:
[tex]p = \frac{1}{8,204,716,800}[/tex]
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Analyze the diagram below and complete the instructions that follow.
find m
a.66
b.71
c.21
d.26
Answer:
71°
Step-by-step explanation:
84+(2x-1)+(x+8)+(x+5)=360 [angles in a quadrilateral add to 360°]4x+96=360 [combine like terms]4x=264 [subtract 96 from both sides]x=66 [divide both sides by 4]So, angle A measures 66+5=71°
Emil is running a lemonade stand. He sells half of his lemonade in the morning, a quarter of what was left at lunchtime, and a third of what ws left in the afternoon. When he closes for the day, he has 4 liters left. How many liters of lemonade did he start the day with? math
Emil starts the day with 16 liters of lemonade if he is left with 4 liters by the end of the day. Computed using the fractional values given.
Let the initial quantity of lemonade with Emil be x liters.
Quantity sold by Emil in the morning = Half of his lemonade = (1/2)x liters, that is half fraction of x.
Quantity left with Emil = x - x/2 = x/2 liters, that is half fraction of x.
Quantity sold by Emil at lunchtime = Quarter of what was left = (1/4)(x/2) liters = x/8 liters, that is the one-eight fraction of x.
Quantity left with Emil = x/2 - x/8 = 3x/8 liters, that is the three-eight fraction of x.
Quantity sold by Emil in the afternoon = One-third of what was left = (1/3)(3x/8) liters = x/8 liters, that is the one-eight fraction of x.
Quantity left with Emil = 3x/8 - x/8 = x/4 liters, that is the quarter fraction of x.
Now, we are said that Emil closes for the day with 4 liters remaining.
Therefore, x/4 = 4, or, x = 4*4 = 16 liters.
Therefore, Emil started the day with 16 liters of lemonade.
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9. Find the value of the
underlined digit in the
following number.
739,485 the three is underlined
Answer:
30,000
Step-by-step explanation:
place value of 3 is tens of thousands (10,000)
therefore its total value is : 3×10,000=30,000
find x and y
can someone pls help
Answer:
x = 25, y = 10
Step-by-step explanation:
I'll add a drawing of my own so that it's easier for me to explain, and for you to understand.
Since line BC and line DE are parallel and line AE is being shared, angle ACB and angle CED will be the same. So the square will also be 3y.
Since line AB and line CD are parallel and line AE is being shared, angle CAB and angle ECD will be the same. So the heart will be 2x.
Now that we figured out two unknown angles, we can see that the two triangles share two angles with the same value. Since angles in a triangle add up to 180 (Added angles in every triangle are the same), the triangle shape (I drew) will be 4x.
We have a few clues to find the value of x and y.
1) 2x + 4x + 3y = 180 (all angles in a triangle add up to 180)
2) 3y + 2x = 180 - 100 (If you look near point C, we can see that 3y + 100 + 2x equals a flat line. A flat line equals 180)
We can use substitution. 3y + 2x can be replaced with 80.
So our new equation will be: 4x = 100
x = 25.
Now we can replace x with 25 in our second clue.
3y + 2(25) = 80
3y + 50 = 80
3y = 30
y = 10.
We can conclude that x = 25, and y = 10
Answer:
x = 25 and y = 10
Step-by-step explanation:
The arrows on the line segments mean the lines are parallel.
Therefore, the diagram shows two similar triangles, which means their interior angles are the same size. (Refer to the attached diagram).
Interior angles of a triangle sum to 180°:
⇒ 2x + 4x + 3y = 180
⇒ 6x + 3y = 180
⇒ 3(2x + y) = 180
⇒ 2x + y = 60
⇒ 2x = 60 - y
Angles on a straight line sum to 180°:
⇒ 3y + 100 + 2x = 180
⇒ 2x + 3y = 80
⇒ 2x = 80 - 3y
Substitute the first equation into the second equation, and solve for y:
⇒ 60 - y = 80 - 3y
⇒ 60 + 2y = 80
⇒ 2y = 20
⇒ y = 10
Substitute the found value of y into one of the equations and solve for x:
⇒ 2x = 60 - 10
⇒ 2x = 50
⇒ x = 25
Therefore, x = 25 and y = 10.
What is DC to the nearest tenth
Answer:
DC= 32.3 units
Step-by-step explanation:
Use Pythag theorem to find BC first
15 ^2 + BC ^2 = 22^2 then BC = sqrt 259
Then use the Pythagorean Theorem again to find DC
DC^2 = 28^2 + sqrt(259)^2
DC=32.3
The scatter plot shows the relationship between the amount of rain received in a year and the average diameter of a fruit in a particular orchad that year
The regression equation is mathematically given as
[tex]\=Y = 5 + 0.3 X[/tex]
This is further explained below.
What is the Regression equation?The line is passing through (0, 5) and (15, 10).
Generally, the equation for Slope is mathematically given as
[tex]S=\frac{ (10 - 5)}{(15 - 0) }[/tex]
Therefore
S= 5/15
S= 1/3
S= 0.3
Intercept = 5
In conclusion,Regression equation:
[tex]\=Y = 5 + 0.3 X[/tex]
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Two years ago, Lisbeth's age was a fifth of Olivia's age. In four years, Olivia's age will be three times Lisbeth's age. How old are they now?
Answer:
Olive's age = 32
Lisbeth's age = 8
Step-by-step explanation:
Declaration
Let Eisbeths present age = x
Let Olive's age = y
Equations
(x - 2) = 1/5 (y - 2)
x + 4 = 1/3(Y + 4)
Solution
1st equation
(x - 2) = 1/5 (y - 2) Multiply both sides by 5
5(x - 2) = y - 2 Remove the brackets
5x - 10 = y - 2 Add 10 to both sides
5x -10+10 = y - 2+10 Combine
5x = y + 8 Subtract 8 from both sides
5x - 8 = y + 8 - 8 Combine
5x - 8 = y
2nd Equation
x + 4 = 1/3(y + 4) Multiply both sides by 3
3(x + 4) = y + 4 Remove the brackets
3x + 12 = y + 4 Subtract 3 from both sides
3x + 12 - 4 = y + 4 - 4 Combine
3x + 8 = y
Note Since y is the same in both equations, the left side of each can be thought of as equal to each other.
3x + 8 = 5x - 8 Add 8 to both sides
3x + 8 + 8 = 5x - 8 + 8 Combine
3x + 16 = 5x Subtract 3x from both sides
3x - 3x + 16 = 5x - 3x Combine
16 = 2x Divide by 2
16/2 = 2x/2
8 = x
y = 3x + 8
y = 32
Consider the following system of two linear equations:
2x + 3y = 12
2x – 3y = 0
Select the graph that correctly displays this system of equations and point of intersection.
Answer: 1st graph (3,2)
Step-by-step explanation:
Yesterday, Jennifer walked several laps around a track. She made Graph 1 to describe the relationship between time and distance. Today, Jennifer alternated walking one lap and running one lap. She made Graph 2 to describe the relationship between time and distance.
Select True or False for each statement.
Graph 1. First quadrant of a coordinate plane with the X axis labeled Time and the Y axis labeled Distance. A line begins at 0, 0 and goes up and to the right. Graph 2. First quadrant of a coordinate plane with the X axis labeled Time and the Y axis labeled Distance. A graph made up of several line segments that vary in steepness begins at 0, 0 and goes up and to the right.
A
Graph 1 shows a proportional
relationship because the graph
is a line.
True False B
Graph 2 shows a proportional
relationship because the graph
passes through the origin.
True False C
Graph 2 does not show a
proportional relationship
because the graph is not a line.
True False D
Graph 1 shows a proportional
relationship because the graph
is a line that passes through the origin.
True False E
Graph 2 shows a proportional
relationship because the graph
is made up of lines.
True False F
Graph 2 shows a proportional
relationship because the graph
is increasing.
True False
The answers to the statements that have been made here are:
False falsetruetruefalsefalseHow to check for the answers.The first statement is false because the proportional relationship is not due to the fact that it is a line.The second is also false given that the graph is not proportional as it goes through the origin of the graph.True The graph in 2 does not show the proportional relationship given that it does not go by the origin.This is true. It passes through the origin.The lines contained in the graph would have to be similar first before it can show this relationship hence false.The graph is not increasing and cannot show the relationship hence false.Read more on graphs here:
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1/6z= -10
A. -60
B. -4
C. -5/3
D. -16
Answer:
z = -60
Step-by-step explanation:
1/6z= -10
To find the value for z, multiply each side by 6
6*1/6z= -10*6
z = -60
Otto has some whipping cream that is 30%, butterfat, and some milk that is 2%, butterfat. He wants to make a 500 ML mixture of them that is 12%, percent butterfat.
What does point J represent in this context?
CORRECT (SELECTED)
The mixture has more than the intended volume and has the intended percent of butterfat.
Explanation: Point JJJ is on line aaa, so it represents a scenario where the mixture has 12\%12%12, percent butterfat. Also, point JJJ is above line bbb, so it represents a scenario where the mixture has a volume of more than 500 \,\text{mL}500mL500, start text, m, L, end text.
The point J connote that the mixture has more than the expected volume and has the optimal butterfat percentage.
What is the point implying?Note that in the question, it was supplied that Otto intended to make a mixture of 12% butter fat.
Since:
Milk = 2% butter fat
Whipping cream = 30% butter fat.
This implies that the milk contains the smallest of butter fat and it also implies that Otto would require a lot more milk than cream, to be able to attain the 12% mixture.
This is known to be when point J is said to meet, and by using that data from point J, Otto require more of milk than the cream to get what he wants.
Therefore, The point J connote that the mixture has more than the expected volume and has the optimal butterfat percentage.
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HELP PLS ACELLUS IM ALMOST DONE W SUMMER SCHOOOL
Answer:
y = 95
Step-by-step explanation:
x + 120 = 180
25 + x + y = 180
flipping the first equation 180 - 120 = 60 so x is 60.
so plug in 60 into the second equation
25 + 60 + y =180 --> 85 + y =180 flip equation 180 - 85 = 95
so y is 95
W+3/5= 6 1/4
Solve W
Answer: W = 113/20
Explanation:What we know:
We need to find the value of W6 1/4 - 3/5 = WThe fractions need to be equivalent denominatorsProcess:
Set up equation W + 3/5 = 6 1/4
Expand W + 3/5 = 6*4+1 /4
Simplify W + 3/5 = 25/4
Common denominator W + 3*4/5*4 = 25*5 / 4*5
Simplify W + 12/20 = 125/20
Subtract -12/20 -12 /20
Solve W = 113/20
Answer: W = 113/20Check:
By converting our answers into decimals, we can see if the sides are equal:
113/20 = 5.65
3/5 = 0.6
5.65 + 0.6 = 6.25
Does 6.25 = 6 1/4?
1/4 = 0.25
6 + 0.25 = 6.25
6.25 = 6.25
Therefore, W = 113/20 is the correct answer.
Can someone help me
Step-by-step explanation:
1. Right angled triangle , scalene triangle
2. isosceles triangle, obtuse angled triangle
3. equilateral triangle
4. right angled triangle, isosceles triangle
5. scalene triangle, obtuse angled triangle
6. scalene triangle, acute angled triangle
Answer:
Step-by-step explanation:
Use the function below to find F(3).
Hello !
[tex]F(x) = \frac{1}{3} \times {4}^{x} [/tex]
[tex]F(3) = \frac{1}{3} \times {4}^{3} \\ = \frac{1}{3} \times 64 \\ = \frac{64}{3} [/tex]
==> B
Have a nice day ;)
Hello,
Answer: 64/3
B
Step-by-step explanation:
F(x) = 1/3 × 4ˣ
F(3) = 1/3 × 4³ = 1/3 × 64 = 64/3
60 - 48 divided by 6 x 7 will equal to
Answer:
4
Step-by-step explanation:
i dont cap
The solution of the expression [tex]\dfrac{60-48}{6\times 7}[/tex] is [tex]\dfrac{2}{7}[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expression is solved as,
[tex]\dfrac{60-48}{6\times 7}= \dfrac{12}{42}[/tex]
Solve the fraction [tex]\dfrac{12}{42}[/tex].
[tex]\dfrac{60-48}{6\times 7}= \dfrac{2}{7}[/tex]
Therefore, the solution of the expression [tex]\dfrac{60-48}{6\times 7}[/tex] is [tex]\dfrac{2}{7}[/tex].
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Question 2 of 10
What is the point-slope form of a line with slope -4 that contains the point
(-2, 3)?
Help me please T^T
Solve for m.
m+1/3<-2 1/4
Answer:
B
Step-by-step explanation:
subtract 1/3 from both sides
m< -2 7/12
Isabella uses the equation V = one-third (12) squared (9) pi to find the volume of the cone below.
A cone has a height of 9 centimeters and base of 12 pi centimeters squared.
What is Isabella’s error?
Isabella should have divided 12 by 2 before squaring to get V = one-third (6) squared (9) pi.
Isabella should have squared 9 instead of 12 to get V = one-third (9) squared (12) pi.
Isabella should have divided the product of 12 and 9 by 3 to get V = StartFraction 12 (9) Over 3 EndFraction.
Isabella should have divided the product of 12 pi and 9 by 3 to get V = StartFraction 12 pi (9) Over 3 EndFraction.
Isabella’s error is Isabella should have divided the product of 12π and 9 by 3 to get V = 12π(9)/3 option fourth is correct.
What is a cone?It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]
Isabella equation:
[tex]\rm V = \dfrac{1}{3}(12)^2(9)\pi[/tex]
The area of the base = 12π square cm
[tex]\rm V = \dfrac{12\pi (9 )}{3}[/tex]
Thus, Isabella’s error is Isabella should have divided the product of 12π and 9 by 3 to get V = 12π(9)/3 option fourth is correct.
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Complete the factorization of 3x2 – 5x 2. which two factors can be multiplied together to make this trinomial?
The two factors multiplied together to make a trinomial is (x-1)(3x-2).
Given equation is 3x²-5x+2.
An algebraic equation which of the second degree in x is known as quadratic equation. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
In the given equation,
Multiply the first coefficient 3 with the last coefficient 2 so we get 2×3=6
Use any two numbers which on multiply give 6 and on adding or subtracting give -5.
Such two numbers are -2 and -3
On multiplying, (-3)×(-2)=6
On Adding, -3-2=-5
So, break -5x into -3x and -2x and we get
3x²-3x-2x+2
Taking out 3x common from the first two terms and -2 from the last two terms as
3x(x-1)-2(x-1)
Taking out the common term (x-1) as common and get
(x-1)(3x-2)
Hence, the two factors of the equation 3x²-5x+2 that can be multiplied together to make this trinomial is (x-1)(3x-2).
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The clinic has collected data finding that the total number of people in their service area is 50,000, 27% of the community is over the age of 65 and immunocompromised, and 11% of the community under 65 is immunocompromised. While the clinic wishes to market to all members of the community, immunocompromised people over 65 are their current priority.
Express the total number of people to which the health clinic must do outreach.
Explain in a one well-written paragraph, how you will analyze the data in this scenario to arrive at the answer you will provide in number 2.
The company should focus attention on 17515 people.
What is the percentage?The term percentage means a denominator of 100. We can proceed to find the people to which the company must reach as follows;
The percentage that is over the age of 65, and immunocompromised = 27%
so;
27/100 × 50,000 = 13500 people
50,000 - 13500 = 36,500
Now;
11% of this number are under 65 and immunocompromised so;
11/100 × 36,500 = 4015 people
Total number that the company should reach = 13500 + 4015 = 17515 people
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Graphing proportional relationships
Problem
Graph the line that represents a proportional relationship betweenddd andttt with the property that an increase of 0.20.20, point, 2units intttcorresponds to an increase of1.81.81, point, 8units inddd.
What is the unit rate of change ofdddwith respect tottt? (That is, a change of 111unit intttwill correspond to a change of how many units ind?d?d, question mark)
The unit rate of change is
.
Graph the line.
a. The unit rate is 9 d per t
b. Find the graph in the attachment
To graph the line, we need to find its gradient or unit rate
a. How to calculate the unit rate of change of d with respect to t?Since t has an increase of 0.20 units in t corresponds to an increase of 1.8 units in d.
The gradient or unit rate of change is m = change in d/change in t
= Δd/Δt
Since
Δd = +1.8 units and Δt = +0.2 unitsSo, substituting the values of the variables into the equation, we have
m = Δd/Δt
= + 1.8 units/+ 0.2 units
= 9 d per t
So, the unit rate is 9 d per t
b. The graph of the line
To graph the function, we need to know the equation of the graph.
So, the equation of a graph in gradient form is
m = (y - y')/(x - x') where (x', y') = (0, 0) since the graphs both start at the origin
Since m = 9, we have
m = (y - y')/(x - x')
9 = (y - 0)/(x - 0)
9 = y/x
y = 9x
So, the equation of the line is y = 9x
Find the graph in the attachment.
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Find the integrals:
∫1÷(x(㏑x-π)^4)dx
Answer:
[tex]C-\frac{1}{3(lnx- \pi)^3}.[/tex]
Step-by-step explanation:
[tex]\int\ {\frac{1}{x(lnx- \pi)^4} } \, dx=\int\ {\frac{d(lnx- \pi)}{(lnx- \pi)^4}} \, dx=-\frac{1}{3(lnx- \pi)^3} +C.[/tex]