Answer:
Hi,
Step-by-step explanation:
Let's say y=a*b^x the equation of the exponential function.
0.9=a*b^1 (1)
1.62=a*b² (2)
(2)/(1) ==> b=1.62/0.9=1.8
and
0.9=a*1.8 ==> a=0.5
y=0.5*1.8^x
Suppose you have two bags of marbles that are in a box. bag 1 contains 7 white marbles, 6 black marbles, and 3 gold marbles. bag 2 contains 4 white marbles, 5 black marbles, and 15 gold marbles. the probability of grabbing the bag 1 from the box is twice the probability of grabbing the bag 2.
create a simulation to estimate the probability of pulling a gold marble. assume you put the marble back in the bag each time you pull one out. make sure to run the simulation enough times to be confident in your final result.
A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a 23% chance of drawing an orange marble and a 48% chance of drawing a white marble. What is the probability of choosing a purple marble? Express your answer as a percent.
The probability of choosing a purple marble from the given parameters is given as; 29%
How to find the Probability?
We are given;
Probability of drawing an orange marble = 23% = 0.23
Probability of of drawing a white marble = 48% = 0.48
Thus, probability of drawing a purple marble is;
P(purple marble) = 100% - (23% + 48%)
P(purple marble) = 29%
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A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find a) the distance travelled by motorcycle. b) the displacement
The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.
What is Distance and Displacement ?Distance and Displacement both are the measure of the movement of an Object from one point to another.
Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.
Distance travelled will always be positive but Displacement can be positive , negative and zero.
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure
The missing figure is attached with the answer.
(a) The distance covered by the motorcycle is
2πr = 2 * 3.14 * 5 = 31.4 km
(b) The displacement will be equal to 0 as the starting and the ending point is same.
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Graph a line that contains the point (6, -5) and has a slope of -2/3.
We know that the equation of the line is in the form [tex]y=-\frac{2}{3}x+b[/tex]. To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.
[tex]-5=-\frac{2}{3}(6)+b\\-5=-4+b\\b=-1[/tex]
Hence, the equation of the line is [tex]y=-\frac{2}{3}x-1[/tex], and its graph looks something like follows.
Step by Step Explanation:
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 - 2m6+5m²n4 - m³n³ + n6 - 4m6 + 9m²n4 - mn5 - 4m³n³ O n6 + 7mn5 + 14m²n4 - 5m³n³ - 6m6 O -2m6 - 5m³n³ + 14m²n4 + 7mn5 + n6 O 14m²n4 + 7mn5 - 6m6 - 5m³n³ + n° On6 - 6m6 + 7mn5 + 14m²n4 - 5m³n³ Mark this and return Next Submi Sa Exitve an
d
Option A is the correct option. The polynomial correctly combines the like terms and expresses the given polynomial in standard form is,
f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶
What is the polynomial equation?A polynomial equation is an equation in which the unknown variable is one and the highest power of the unknown variable is n. Here n can be any real number.
Given information-
The polynomial equation given in the problem is,
8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
Let the above polynomial is. Thus,
f(m,n) = 8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
The terms with the same base and exponents can be added or subtracted from each other. Thus solve the equation further as,
f(m,n) = ( 8mn⁵ - mn⁵ ) -2m⁶ + ( 5m²n⁴+9m²n⁴ ) - ( m³n³-4m³n³) + n⁶-4m⁶
f(m,n) = 7mn⁵ - 2m⁶ + 14 m²n⁴ - 5 m³n³ + n⁶- 6m⁶
Arrange it as,
f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶
Thus the polynomial correctly combines the like terms and expresses the given polynomial in standard form is,
f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶
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what is the median of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?
Answer:
45
Step-by-step explanation:
median is the middle number after arranging a set of numbers in ascending or descending order.
let's arrange the set of numbers above in ascending order
10, 10, 20, 30, 30, 40 50, 60, 70, 80, 90, 110
since there are 12 digits in total, count out five digits starting from extreme left and also count out five digits starting from extreme right.
the two numbers left in the middle are 40 and 50.
median 40+50/2 = 90/2= 45
solve for x -
[tex]x {}^{2} - 6x + 5= 0[/tex]
ty! ~
Answer:
x = 5, x = 1
Step-by-step explanation:
Hello!
We can solve this quadratic by factoring.
Solve[tex]x^2 - 6x + 5 = 0[/tex][tex]x^2 - 5x - x + 5 = 0[/tex][tex]x(x - 5) - 1(x - 5) = 0[/tex][tex](x - 5)(x - 1) = 0[/tex]Use the zero product property:
x - 5 = 0x = 5, or x = 1
The students in Dale's grade voted to select a guest speaker. 3 students voted for a famous
athlete. The other 22 students in Dale's grade voted for a famous actor. What percentage of
the students voted for the athlete?
Answer:
12
Step-by-step explanation:
3/(22 + 3) voted for athelete
multiply everything by 4 to get fraction over 100
12/(88 + 12) voted for athelete
that means 12 percent voted for athelete
Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. consider the logarithmic function f(x) = log10(x). the value of f(50), rounded to nearest hundredth, is .
It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.
What is logarithmic?Logarithmic functions are defined as the inverses of exponential functions.
Hence, exponential functions can be expressed in logarithmic form
Given that f(x) = log₁₀(x)
we need to find the value of f(50),
we have to substitute x to be 50 in the logarithm function,
f(50) = log₁₀(50)
f(50) = log₁₀(5 x 10)
f(50) = log₁₀(5) + log₁₀(10)
f(50) = 1 + log₁₀(5)
f(50) = 1 + 0.70
f(50) = 1.70
Hence, It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.
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Find the area please
=202 in²
Divide the shape into 2.
Area of a rectangle= Length * Width
So..
The first shape = 13in*4in = 52in²
The second shape = 15in * 10in = 150in²
150 + 52 = 202in²
The circular fountain in
front of the courthouse has a radius of
9.4 feet. What is the circumference of
the fountain? Round to the nearest
tenth.
Answer:
59.1 feet
Step-by-step explanation:
The formula for the circumference of a circle in C=2πr. Since the radius of the circle is given, all you have to do is plug it into the equation.
C=2πr
C=2π(9.4)
C=18.8π feet <-- this is the exact answer
C=59.1 feet
1. A group of 20 students: 2 freshmen, 4 sophomores, 6 juniors and 8 seniors - are trying to get onto a
committee to select a new math teacher. How many different groups of six can be chosen?
Answer:
38760 ways
Step-by-step explanation:
20 C 6 = 38760
may someone help me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's find the value of given expression for x = 5 ~
[tex]\qquad \sf \dashrightarrow \:3(3x + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:9x + 15[/tex]
now, plug in the value of x as 5
[tex]\qquad \sf \dashrightarrow \:9(5) + 15[/tex]
[tex]\qquad \sf \dashrightarrow \:45 + 15[/tex]
[tex]\qquad \sf \dashrightarrow \:60[/tex]
so, the equivalent value is 60
The triangles below are similar because of the:
Answer:
AA similarity postulate
Explanation:
For triangle XZY, the angles are 90°, 40°, 50°.
For triangle AXB, the angles are 90°, 40°, 50°.
Which states that all the angles are of equal measure in the triangles.
This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.
You are a travel agent contacted by the Alonzo family who plans for a three-day summer vacation in Hong Kong. You are to present to them a variety of transportation packages within their allotted budget. The package should interest all the members of the family, namely: Mr. and Mrs. Alonzo; Joshua, their 24-year old son; and Bea, their 12-year old daughter. Create a diagram showing the variety of transportation options for all the family members to choose from. Explain how you arrived at those options.
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
magpakailanman
[tex]\pink{\rule{1pt}{999999pt}}[/tex]
Which statements are true about the solution 2< x -7
First one to give CORRECT answer within 5 minutes gets-
12 points
Brainlist
Answers:
x > 9
Graph has open circle
Arrow points to the right
======================================
Reason:
Add 7 to both sides to go from the original inequality to 9 < x, which is the same as x > 9
The graph will involve an open circle at 9. We don't include this endpoint because there isn't "or equal to" in the inequality sign.
We shade to the right due to the "greater than"
This visually shows all values larger than 9.
a) Work out the size of angle x. b) Give reasons for your answer. + A E C xº B F 105° G D H
Check the picture below.
a) Complete the table of values for y = 2x + 3
x,,-2,,-1,,0,,1,,2,,3
y,,,?,,,1,,,,?,,?,,7,,?
Answer:
Step-by-step explanation:
Because the slope of y = 2x + 3 is 2, y increases by 2 for every unit increase in x.
Substituting the given x-value -2 into y = 2x + 3 results in y = -1.
If we now increase x by 1, from -2 to -1, y increases by 2: the new
y value is y = -1 + 2 or y = 1. which agrees with the +1 in the list of y-values.
Again, y = ?,,,1,,,,?,,?,,7,,? becomes y = -1, 1, ?,,?,,7. Note that -1 + 2 = 1;
1 + 2 = 3; 3 + 2 = 5; 5 + 2 = 7 (which agrees with the given 7); 7 + 2 = 9.
So the given incomplete table of values
x,,-2,,-1,,0,,1,,2,,3
y,,,?,,,1,,,,?,,?,,7,,?
becomes:
x,,-2,,-1,,0,,1,,2,,3
y,,, -1,,1,,,3,,5,,7,,9
Please help, sigma notations please big project 100 points
Answer:
I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )
Step-by-step explanation:
[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]
2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]
3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]
4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]
5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]
6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]
7. The answer should be: [tex]3B_{\left(i\right)}[/tex]
Hope this helps...
1. explain the steps to use coordinates in
calculating the perimeter and area of
polygons? explain your procedure when
working with diagonal sides and irregular
shapes on the coordinate plane. 2. explain
how the distance formula and slope formula
are used to classify various quadrilaterals and
triangles.
We need to explain the steps to use coordinates in calculating the perimeter and area of the polygon.
We need to explain the procedure when working with diagonal sides and irregular shapes on the coordinate plane.
The location of a point in the XY-plane is determined by coordinates. The vertex, which is the point where two lines of a shape meet to form a corner, is a unique place. We can determine the perimeter and area of a figure after we have the coordinates for all of its vertices.
Steps to calculate the perimeter and area of a polygon:
Step 1: Plot the given points on the graph.
Step 2: Connect the points and identify the figure.
Step 3: Determine lengths by counting the grid lines.
Step 4: Use a formula to calculate the perimeter and area if one exists.
Step 5: If there are no formulas for a figure, the perimeter can be calculated by summing the lengths of the sides. We might estimate the area without an area formula by counting the number of small squares enclosed.
Note: If you are using diagonal to calculate the area, then use the distance formula to calculate the length of the diagonal.
We need to explain how the distance formula and slope formula
are used to classify various quadrilaterals and triangles.
Distance formula: [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]
The length of a triangle's sides can be calculated using the distance formula. If the lengths of all three sides are equal, the triangle is said to be equilateral.An isosceles triangle is formed when the lengths of any two sides are equal.If the length of the opposite sides is equal, then the quadrilateral could be a rectangle or a parallelogram.If the length of all sides is equal, then the quadrilateral could be a square or a rhombus.Now, we use slope to find the angles i.e. If:
The product of two slopes is -1, then the lines are perpendicular and so, form right angle between them.If the slope of two lines is equal, then the lines are parallel.So, this gives us that the option 'Use the slope to check whether sides are perpendicular and form right angles' is correct.Since some quadrilaterals have the property that the diagonals are perpendicular bisectors of each otherUse the distance formula to measure the lengths of the sides.Use the slope to check whether the sides are perpendicular and form right angles.Use the slope to check whether the diagonals are perpendicular to eachTo learn more about coordinate geometry visit:
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A. 3/5
B. 3/10
C. 1/5
D. 1/2
Find the value of x in the given
right triangle.
7
X
10
x = [ ? ]
The value of x in the given right triangle is approximately 7.14
How to find unknown side in a right triangle?Hypotenuse = 10opposite = xAdjacent = 7Hypotenuse² = opposite² + adjacent ²
10² = x² + 7²
100 = x² + 49
100 - 49 = x²
51 = x²
x = √51
x = 7.14142842854284
Approximately,
x = 7.14
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The cost of an apple is $1.20. What is the cost of 5 apples?
Answer:
0.24
Step-by-step explanation:
$1.20 ÷ 5 = 0.24
To check that we are going to multiply [tex]5 x 0.24 = $1.20\\[/tex]
I hope this helps and have a great day!
Find the area of AAOB
9√3 un²
3√3 un²
4.5√3 un
Answer:
Step-by-step explanation:
The area of the equilateral triangle is [tex]\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}[/tex]
The graph of which of the following will be perpendicular to the graph of y = 2x – 4? A. 2x + y = 4 B. 4x – 2y = 4 C. y = –2x + 8 D. 2x + 4y = 1 Please select the best answer from the choices provided
200 Points !!!!!!
The linear function that has a graph perpendicular to y = 2x – 4 is given by:
D. 2x + 4y = 1
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.If two lines are perpendicular, the multiplication of their slopes is of -1. The line y = 2x + 4 as a slope of 2, hence the slope of the perpendicular line will be given by m as such:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2} = -0.5[/tex]
Hence option D is correct, as:
2x + 4y = 1
4y = -2x + 1
y = -0.5x + 0.25
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Solve each equation.
1. x+6=4
2.x- -4 = -6
3.2(x-1)=-200
4.2x+-3=-23
Step-by-step explanation:
1) x+6 =4
x. =4-6
x. =-2
2) x-(-4) =-6
x+ 4. =-6
x. =-6-4
x. =-10
3)2(x-1)=-200
2x-2 =-200
2x. = -200+2
2x. = -198
x. = -198/2
x. = -99
4)2x+(-3) =-23
2x-3. =-23
2x. =-23+3
2x. =-20
x. =-20/2
x. = -10
A mass of water at 100°c is added to another mass Q of water at a temperature T and the resulting temperature is theta. Describe an expression for theta in terms of the quantities (specific heat capacity of water is 4.2JKg-¹K-¹).
Answer:
Use the formula Where 1. q = Heat Energy 2. m = Mass 3. c = Specific Heat 4. ΔT = Change in temperature. 14640 J = (300 g)(2.44 J/g·°C)ΔT Solve for ΔT: 1. ΔT = 14640 J/(300 g)(2.44 J/g·°C) 2. ΔT = 20 °C 3. ΔT = Tfinal - Tinitial 4. Tfinal = Tinital+ ΔT 5. Tfinal= 10 °C + 20 °C 6. Tfinal= 30 °C Answer:The final temperature of the ethanol is 30 °C.
Mark Brainliest ;)which graph represents a function
Answer:
I think it's the one in the middle
Step-by-step explanation:
Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1? 6, 1, –4, –9, –14, … f (n 1) = f(n) 5 f (n 1) = f(n) – 5 f (n) = f(n 1 ) – 5 f (n 1) = –5f(n)
The recursive formula is f(n+1)= f(n)-5.
What is recursive function?
Given sequence :
f(1)= 6, n≥1.
Let f(n) denote the nth term of the given sequence.
f(1)= 6
f(2)= 1 = f(1)-5
f(3)= -4 = 1-5= f(2) -5
f(4)= -9 = 1-10 = f(2)-10
and so on
Hence, the recursive formula is f(n+1)= f(n)-5.
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Use the standard deviation values of the two samples to find the standard deviation of the sample mean differences.
sample standard deviation
red box 3.868
blue box 2.933
then complete each statement.
the sample size of the session regarding the number of people would purchase the red box,
n
1
, is .
the sample size of the session regarding the number of people would purchase the blue box ,
n
2
, is .
the standard deviation of the sample mean differences is approximately .
The standard deviation of the sample mean differences is 4.854
How to determine the standard deviation of the sample mean differences?The table of values is given as:
Sample Standard deviation
Red box 3.868
Blue box 2.933
The standard deviation of the sample mean differences is calculated using:
[tex]\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}[/tex]
This gives
[tex]\sigma = \sqrt{3.868^2 + 2.933^2}[/tex]
Evaluate the expression
[tex]\sigma = 4.854[/tex]
Also, the table of value do not give any information regarding the sample size.
This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown
Hence, the standard deviation of the sample mean differences is 4.854
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