The equation that has the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are as follows;
2.3p – 10.1 = 6.49p – 4 230p - 1010 = 649p - 400How to rewrite an equation?2.3p – 10.1 = 6.5p – 4 – 0.01p
The equation that has the same solution as above can be found as follows;
2.3p – 10.1 = 6.5p – 4 – 0.01p
combine like terms
2.3p – 10.1 = 6.5p – 0.01p - 4
2.3p – 10.1 = 6.49p – 4
Multiply through by 100.
Therefore,
230p - 1010 = 649p - 400
learn more on equation here: https://brainly.com/question/26005958
#SPJ1
Figure 1 is a rhombus and Figure 2 is a rectangle. Neither figure is a square.
Which transformation can be used to map Figure 1 onto itself and can also be used to map Figure 2 onto itself?
A. A reflection over a line through the center of the figure that is parallel to one of the sides of the figure.
B. A rotation of 90° clockwise about the center of the figure.
C. A reflection over one of the diagonals of the figure.
D. A rotation of 180° about the center of the figure.
Answer:
Option (D)
Step-by-step explanation:
Figure (1) is a rhombus and figure (2) is a rectangle.
Figure (1) will overlap onto itself by the rotation of 180° about the center.
Figure (2) will overlap onto itself by 2 possible ways.
1). Reflection across a line passing through the center of the figure and parallel to one of the sides.
2). Rotation of the figure by 180° about the center.
Therefore, common transformation of both the figures will be,
A rotation of 180° about the center.
Option (D) will be the answer.
We want to see which transformation maps a rhombus into itself and a rectangle into itself.
The correct option D, a rotation of 180° about the center of the figure.
So we have two figures that are parallelograms, but neither are a square. This means that rotations of 90° will not map the figures into the same figures, as for example, for the rectangle, a rotation of 90° changes the length into the width.
But if we apply another rotation of 90°, we have that change again, this means that after two rotations of 90° (or a single rotation of 180°) we map the length into the length and the width into the width (same thing for the rhombus).
Then the transformation that maps the figures into the same figure is a rotation of 180° about the center of the figure, thus the correct option is D.
If you want to learn more, you can read:
https://brainly.com/question/19617363
The circumference of the target above is 5,947.16 mm. What is the diameter of the target? (Use 3.14 for .)
Answer:
1892.8 mm
Step-by-step explanation:
Given data
Circumference of target= 5,947.16 mm
The formula for circumference is
C= 2πr
Substiute
5,947.16= 2*3.142*r
r= 5,947.16/2*3.142
r = 5,947.16/6.284
r= 946.397 mm
Hence the diameter is
r=946.397*2
r= 1892.8 mm
write the equation in fully simplified slope intercept form
Answer:
y=-6x+3 can i have brainliest pls :)
Step-by-step explanation:
The first thing you have to do is find two points on the graph, in order to calculate the slope: (0,3) (1,-3)
Then use the slope formula= -3-3 / 1-0=-6 / 1= -6
then we use substitution to substitute a set of coordinate points with the slope by using slope-intercept form, y=mx+b
3=-6(0)+b (Simplify)
b=3
y=-6x+3
Evaluate Fonctions (Level 1)
Given g(x) = -3x + 3, find g(-2)
Answer:
g(-2) = 9
Step-by-step explanation:
g(x) = -3x + 3
g(x) = g(-2)
g(-2) = -3(-2) + 3
g(-2) = 6 + 3
g(-2) = 9
Ceiling Height: Suppose the ceiling of a home is 3.06 meters above the floor. Express the height of the ceiling in centimeters.The ceiling is ? centimeters tall.
One meter is equal to 100 centimeters.
Now, we need to know 3.06 meters in centimeters:
Use the rule of three to find this value
1meter-------------------- 100cm
3.06------------------------- x cm
Where x is = (3.06*100)/1
Then x=306
The ceiling is 306 centimeters tall.
Solve for X. -ax + 2b > 8 
Can someone explain to me how to do this please? I think the answer is C but I am not sure
Answer:
x < ( -2b+8)/-a
Step-by-step explanation:
-ax + 2b > 8
Subtract 2b from each side
-ax + 2b-2b >-2b+ 8
-ax > -2b+8
Divide each side by -a, remembering to flip the inequality
-ax /-a < (-2b+8)/ -a
x < ( -2b+8)/-a
the apothem of a regular polygon is 7. and the polygon's perime- ter is 56. find the polygon's area.
Answer:
A = 196 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A = \(\frac{1}{2}\) perimeter × apothem
here perimeter = 56 and apothem = 7 , then
A = \(\frac{1}{2}\) × 56 × 7 = 28 × 7 = 196 units²
Consider the angle 0 3 a. To which quadrant does 0 belong? (Write your answer as a numerical value.) b. Find the reference angle for 0 in radians. c. Find the point where 0 intersects the unit circle.
Angle 0 is in the 1st quadrant, its reference angle is 0 radians, and it intersects the unit circle at the point (1, 0).
Define Angle ?
In mathematics, an angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex.
a. The angle 0 is measured from the positive x-axis in a counterclockwise direction. In the Cartesian coordinate system, the positive x-axis lies on the right side of the coordinate plane. Since the angle 0 starts from this position, it falls within the 1st quadrant. The 1st quadrant is the region where both x and y coordinates are positive.
b. The reference angle is the positive acute angle between the terminal side of an angle and the x-axis. Since the angle 0 lies entirely on the positive x-axis, the terminal side coincides with the x-axis. In this case, the reference angle for 0 radians is 0 radians itself. The reference angle is always positive and its value is less than or equal to π/2 radians (90 degrees).
c. To find the point where 0 intersects the unit circle, we consider the trigonometric functions cosine and sine. The unit circle is a circle with a radius of 1 centered at the origin (0, 0) in the Cartesian coordinate system.
For angle 0, the cosine function gives the x-coordinate on the unit circle, and the sine function gives the y-coordinate. Since 0 lies on the positive x-axis, the x-coordinate is 1 (cos(0) = 1), and the y-coordinate is 0 (sin(0) = 0). Therefore, the point of intersection with the unit circle for angle 0 is (1, 0).
In summary, angle 0 is in the 1st quadrant, its reference angle is 0 radians, and it intersects the unit circle at the point (1, 0).
Learn more about radians :
https://brainly.com/question/28990400
#SPJ4
PLEASE PLEASE PLEASE HELP I WILL GIVE BRAINALIST AND EXTRA POINTS FIRST PERSON
Answer:
$66.14
Step-by-step explanation:
(2) An aquarium's base has an area
of 120 square inches. Its height is
11 inches. Calculate the volume.
Answer:
1320 in³----------------------
The volume is the product of base area and height.
Find the volume:
V = base * heightV = 120*11V = 1320 in³An aquarium's base has an area of 120 square inches. Its height is 11 inches, then the volume of the aquarium will be 1320 cubic inches.
To calculate the volume of an aquarium, we need to know the area of the base and the height. Given that the base has an area of 120 square inches and the height is 11 inches, we can proceed with the following calculation:
The formula for calculating the volume of a rectangular prism, which applies to an aquarium, is given by:
Volume = Area of Base * Height
In this case, the area of the base is 120 square inches, and the height is 11 inches. Substituting these values into the formula, we have:
Volume = 120 square inches * 11 inches
To multiply these values, we multiply the numerical values and keep the unit "cubic inches" for volume:
Volume = 1320 cubic inches
Therefore, the volume of the aquarium is 1320 cubic inches.
For more such information on: volume
https://brainly.com/question/27710307
#SPJ11
The population of Greensboro (in thousands) was 4,922 in 2004 and 9,100 in 2010. Assume that the relationship between the population (y) and the year (t) is linear, and t=0 represents 2004. a. Write the linear model for this data. b. Use the model to estimate the population in 2015.
The linear model for this data is y = 0.63t + 4.922 and the estimated population of Greensboro in 2015 was 11,530
What is slope?
Slope is a measure of the steepness of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate between any two points on the line.
a. To find the linear model for this data, we need to determine the equation of the line that passes through the two given points: (0, 4.922) and (6, 9.1). The slope of this line can be calculated as:
slope = (change in y) / (change in t)
slope = (9.1 - 4.922) / (6 - 0)
slope = 0.63
Using the point-slope form of a linear equation, we can write the equation of the line as:
y - 4.922 = 0.63(t - 0)
Simplifying, we get:
y = 0.63t + 4.922
Therefore, the linear model for this data is y = 0.63t + 4.922.
b. To estimate the population in 2015, we need to find the value of y when t = 11 (since 2015 is 11 years after 2004). Substituting t = 11 into the linear model, we get:
y = 0.63(11) + 4.922
y = 11.53
Therefore, the estimated population of Greensboro in 2015 was 11,530 (rounded to the nearest whole number).
To know more about slopes visit:
brainly.com/question/14548961
#SPJ1
what is the diameter of the semi circle whose perimeter is 54
Answer:
The diameter will be equal to twice the radius. Therefore, Hence, the radius and the diameter are equal to 10.5 cm and 22 cm
x+3y=4 4x + 5y =2
Find the x and y
find the X and y
for (x)
\( = \: \: x = 4 - 3y\)
for (y)
\(y = \frac{2}{5} - \frac{4}{5} \)
hope it helps
see the attachment
Question: Help plsss
Answer:
I hope it help............
A market research firm calls a simple random sample of customers to determine whether they are satisfied with their current internet service provider. Out of 500 people surveyed, 389 say they are satisfied. If we are going to create a confidence interval for the percent of customers in the population who are satisfied, we will need a box model. Fill in the blank: The number of tickets in the box labeled 1 is a quantity that is _______.
a. fixed and known
b. fixed and estimated
c. random and known
d. random and estimated
d. random and estimated. The number of tickets in the box labeled 1 represents the number of customers in the population who are satisfied with their internet service provider.
This quantity is not fixed or known, as we are using a sample to estimate the proportion of the population who are satisfied. The tickets in the box are randomly selected from the population, and the number in the box is estimated based on the proportion of satisfied customers in the sample. Therefore, the quantity is both random and estimated. we can calculate the sample proportion and construct a confidence interval to estimate the true proportion of satisfied customers in the population.
Learn more about number here:
brainly.com/question/16195818
#SPJ11
which of the following is not an advantage of using a sample versus a census? question 3 options: smaller dataset to analyze cost ready access to respondents population size
Out of the given options, the one that is not an advantage of using a sample versus a census is population size. The reason for this is that whether you use a sample or a census, the population size remains the same. However, there are several advantages to using a sample over a census.
Firstly, a sample generates a smaller dataset to analyze, which can save time and resources. Secondly, using a sample can be less expensive than conducting a census, which involves surveying every member of the population. Lastly, using a sample provides ready access to respondents, as it is often easier to reach a smaller group of people than an entire population. However, it is important to note that using a sample also has its limitations, such as the potential for sampling bias and the need to ensure that the sample is representative of the population being studied. Overall, the choice between using a sample or a census depends on the research question, available resources, and the level of accuracy and precision required.
Know more about census here:
https://brainly.com/question/28839458
#SPJ11
calculate the probability of flipping a coin 20 times and getting 20 heads. round your answer to the nearest millionth
The probability of flipping a coin 20 times and getting 20 heads is approximately 0.000001 or 1 in a million.
Hi! I'd be happy to help you calculate the probability of flipping a coin 20 times and getting 20 heads.
Understand the problem
We have a coin with two possible outcomes, heads or tails. We want to find the probability of getting heads 20 times in a row in 20 flips.
Determine the probability of a single event
The probability of getting heads in a single flip is 1/2, as there are two equally likely outcomes (heads and tails).
Calculate the probability of the desired outcome
Since each flip is an independent event, we can find the probability of getting 20 heads in a row by multiplying the probability of getting heads in each flip. In this case, we need to multiply the probability of getting heads (1/2) by itself 20 times:
(1/2)^20
Simplify the expression
When we calculate (1/2)^20, we get:
0.000000953674316
Round to the nearest millionth
Rounding this number to the nearest millionth, we get:
0.000001
In conclusion, the probability of flipping a coin 20 times and getting 20 heads is approximately 0.000001 or 1 in a million.
for more questions on probability
https://brainly.com/question/24756209
#SPJ11
How to find average growth?
To find the average growth, you'll need to analyze data points over a specific period of time and calculate the growth rate between each point. Here's a step-by-step guide:
1. Gather data: Collect the data points you want to analyze. These can be values related to population, financial performance, or any other growth-related metric.
2. Calculate the growth: For each pair of consecutive data points, calculate the growth rate using the formula: (New Value - Old Value) / Old Value.
3. Sum up the growth rates: Add up all the growth rates you've calculated in step 2.
4. Divide by the number of periods: To find the average growth, divide the sum of growth rates by the number of periods (data points - 1). This will give you the average growth rate for the entire time period.
Remember, the average growth rate helps you understand the overall trend of growth, but it doesn't necessarily reflect the actual growth rate at each specific point in time.
To know more about Average Growth visit:
https://brainly.com/question/28026065
#SPJ11
if the scale is 1 cm to 5 ft, and the real life wall is 200 feet, what is the length on the scale drawing?
Answer:
700 ft
Step-by-step explanation:
help guys can you help me
Answer:
Help guys can you help me
Find the slope and y -intercept of each line.. y=0.4-0.8 x
The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Given: y = -0.8x + 0.4
As we know that the slop-intercept form of the equation of a line is given by: y = mx + c, where
m = slope of the linec = y-intercept of the lineOn comparing the given equation of line with the above form of equation of line, we get: m = -0.8 and c = 0.4.
Hence, The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.
To learn more about equation of a line to a curve, refer to the link: https://brainly.com/question/13763238
#SPJ4
Corrine ran 4 miles in 28 minutes yesterday and
5 1/2 miles in 32 minutes
todoy Did she run
foster today or
yesterday?
Answer:
Step-by-step explanation:
First things first, you need to find out how many minutes it took Corrine to run one mile each day. To do this, you divide 4 by 4 and 28 by 4
4 ÷ 4 = number of miles
4 ÷ 4 = 1 mile
28 ÷ 4 = number of minutes for one mile
28 ÷ 4 = 7 minutes for one mile
Next, you need to divide 5.5 by 5.5 and 32 by 5.5
5.5 ÷ 5.5 = number of miles
5.5 ÷ 5.5 = 1 mile
32 ÷ 5.5 = number of minutes for one mile
32 ÷ 5.5 = 5.81818181818
So, Corrine ran one mile in 7 minutes yesterday and ran one mile in 5.81818181818 today.
All in all, Corrine ran faster today than yesterday.
Hope this helps!
Find the missing length.
Assume that all intersecting sides meet at right angles. Be sure to include correct unit i. your answer
Answer:
11cm
Step-by-step explanation:
5+6=11
hopefully this helps :)
Answer:
the answer would be 35cm
Step-by-step explanation:
7+6+8+5+15=35
I need help and if you know it I would really appreciate it!
Answer:
B
Step-by-step explanation:
A non-proportional linear expression is when it's not going over the origin.
Once can set up a spreadsheet to compute the iterations of Euler's method for approximating solutions to first-order ODEs. True or false
Can be a useful tool for exploring the behavior of the solution to the ODE and understanding the accuracy of the approximation. The given statement is true.
True. It is possible to set up a spreadsheet to compute the iterations of Euler's method for approximating solutions to first-order ordinary differential equations (ODEs).
Euler's method is a numerical method used to approximate solutions to first-order ODEs. It involves approximating the solution to the ODE at discrete time steps using a simple iterative formula.
To set up a spreadsheet to compute the iterations of Euler's method, we can use the following steps:
Set up the time step, h. This is the distance between the discrete time points at which we will approximate the solution. We can choose a small value for h to get more accurate approximations, but this will increase the number of iterations needed.
Set up the initial condition. This is the value of the solution at the initial time point, t_0.
Define the ODE. This is the equation that describes how the solution changes with time. For example, if we are approximating the solution to the ODE dy/dt = f(t,y), we would enter the function f(t,y) in a cell.
Set up the iterative formula. Euler's method uses the formula y_(n+1) = y_n + hf(t_n,y_n), where y_n is the approximate solution at time t_n, and y_(n+1) is the approximate solution at time t_(n+1) = t_n + h.
Fill in the spreadsheet with the initial condition and the iterative formula. We can use the copy and paste functions to quickly fill in the formula for each time step.
Finally, we can graph the approximate solution to the ODE using the spreadsheet's graphing capabilities.
In summary, it is indeed possible to set up a spreadsheet to compute the iterations of Euler's method for approximating solutions to first-order ODEs. This can be a useful tool for exploring the behavior of the solution to the ODE and understanding the accuracy of the approximation.
To learn more about approximating visit:
https://brainly.com/question/30707441
#SPJ11
In the accompanying diagram, what is sin E?
Answer:
what diagram
Step-by-step explanation:
Does the graph represent an exponential growth
or an exponential decay function?
Answer:
Ummmm... I'm sorry but there is no graph or equation, so I can't answer this question with them...
an amusement park has two types of season passes. plan 1 charges a one-time fee of $145.00 for admission plus $10.00 every trip for parking. plan 2 charges a one-time fee of $115.00 for parking plus $15.00 every trip for admission. for what number of trips is the cost of these plans the same? 2 trips 6 trips 3 trips 14 trips
The given information are:Plan 1 charges a one-time fee of \($145.00\) for admission plus\($10.00\)every trip for parking.Plan 2 charges a one-time fee of \($115.00\) for parking plus \($15.00\) every trip for admission.
The question is asking for the number of trips that the cost of these plans will be equal.Let's assume that the cost of both plans is the same, then;Plan 1: \(Cost = 145 + 10n\), where n is the number of trips.Plan 2:\(Cost = 115 + 15n\).To find the number of trips for which the cost of the plans will be the same, we will set the two equations equal to each other\(.145 + 10n = 115 + 15n\)
Simplifying the above equation by collecting the variables on one side, we get;\(145 - 115 = 15n - 10n30 = 5n6 = n\)Therefore, the cost of these plans will be the same for 6 trips.Answer: 6 trips.
To know more about cost visit:
https://brainly.com/question/14566816
#SPJ11
Can someone help me please
Answer:
0.19 50% 15/20 9/10 95%
Step-by-step explanation:
I know
You got 7 questions correct and 3 questions wrong on your test. What was your score as a percent?
Answer:
70%
Step-by-step explanation:
Correct/total questions --> Formula for this problem
Correct questions - 7
Total questions - 10
So, 7/10=70%!
Hope this helps you!