Answer:
10-5g >80
Step-by-step explanation:
10-5g >80
This is the statment if u want it.
the circle below is centered at the point 8.4 and has a radius of length 4 what is its equation
Answer:
16
Step-by-step explanation:
(x-8)^2 + (y-4)^2= 16
Algebra question: Laila is 10 years older than her younger sister, Kylie. Seventeen years ago Laila was triple Kylie's age. How old are Laila and Kylie currently?
Answer:
Step-by-step explanation:
Let's assume Kylie's current age to be x.
According to the problem, Laila is 10 years older than Kylie, so her current age would be (x + 10).
Seventeen years ago, Laila's age would have been (x + 10 - 17) = (x - 7), and Kylie's age would have been (x - 17).
The problem also states that Laila's age 17 years ago was triple Kylie's age 17 years ago, so we can set up the equation:
(x - 7) = 3(x - 17)
Solving for x, we get:
x - 7 = 3x - 51
2x = 44
x = 22
Therefore, Kylie's current age is x = 22, and Laila's current age is (x + 10) = 32.
So, Laila is currently 32 years old and Kylie is currently 22 years old.
Answer:
Laila is currently 32 years old.
Kylie is currently 22 years old.
Step-by-step explanation:
To find the current ages of Laila and Kylie, create and solve a system of linear equations using the given information.
Define the variables:
Let L be the current age of Laila.Let K be the current age of Kylie.Given Laila is 10 years older than Kylie:
L = K + 10Given 17 years ago, Laila was triple Kylie's age:
L - 17 = 3(K - 17)Substitute the first equation into the second equation and solve for K:
⇒ (K + 10) - 17 = 3(K - 17)
⇒ K - 7 = 3K - 51
⇒ K - 7 - K = 3K - 51 - K
⇒ -7 = 2K - 51
⇒ -7 + 51 = 2K - 51 + 51
⇒ 44 = 2K
⇒ 44 ÷ 2 = 2K ÷ 2
⇒ K = 22
Substitute the found value of K into the first equation and solve for L:
⇒ L = K + 10
⇒ L = 22 + 10
⇒ L = 32
Therefore, Laila is currently 32 years old and Kylie is currently 22 years old.
Which inequality doesn't belong?
5/4≤2 8.5≥0.95 8.5≤7 10.00≤100
Answer:
8.5 < 7
Step-by-step explanation:
8.5 is less than 7.
doesn't verify mathematically.
need help asap. pls somebody help.
Answer:
D
Step-by-step explanation:
why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.
x²
-x²
-x -x
x x x x (clearly that means 4x)
-1 -1 -1
1 1
so, we see it is D.
The figure to the right shows the distance-time graph for a muscle car accelerating from a standstill. Use the information in the figure to answer parts (a) and (b). The table below lists the coordinates of the points.
The acceleration of the car is 8 m/s^2.
The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.
Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.
(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m
(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2
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Which of the following is false about the central limit theorem (CLT)? O If we take more samples from the original population, the sampling distribution is more likely to be nearly normal. O If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. O As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution. O The CLT states that the sampling distribution will be centered at the true population parameter.
Only the first statement is false. The rest are true statements about the Central Limit Theorem.
The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.
It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.
The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.
Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.
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If anyone understands this pls helpp me
Answer: D - Mr. Lopez and Mrs. Foster
Step-by-step explanation: Mr. Lopez had 95% of his class show up. Mrs. Foster also had 95% show up, since 19 divided by 20 is .95. Mrs. Kelly had 90% of students in her class
Carmen wants to put two matching flower pots on her front porch.the flower posts cost $24.95 each the total amount of potting soil she needs cost $12.50 and the flowers she likes cost $3.25 each.what will it cost Carmen to buy the potting soil, two matching pots, and three flowers for each pot?
Answer:
$81.90
Step-by-step explanation:
You can add or multiply either way let me show you:
Add:
24.95 + 24.95
12.50
3.25 + 3.25 + 3.25 + 3.25 + 3.25 + 3.25
After that add
49.9 + 12.5 + 19.5
this equals
$81.90
_________________________________________________________
or you could do
24.95 x 2 + 12.50 + 3.25 x 6
after that muliply
49.9 + 12.5 + 19.5
now add.... this equals
$81.90
Write an equation that shows the relationship 30% of 140 is x.
0.3 what is the answer here 140= x
A+
BX
C-
D/
The equation that shows the relationship is x = 30% * 140
Writing an equation that shows the relationshipFrom the question, we have the following parameters that can be used in our computation:
30% of 140 is x.
Of means multiplication
So, we have
30% * 140 is x
Express as equation
So, we have
30% * 140 = x
rewrite as
x = 30% * 140
Hence, the equation is x = 30% * 140
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The distribution of values taken by a statistic in all possible samples of the same size from the same population is None of the above The population parameter The sampling distribution of the statistic The probability that the statistic is obtained The variance of the values
The sampling distribution of a statistic is the distribution of values taken by the statistic in all possible samples of the same size from the same population.
The population parameter is the true value of the statistic for the entire population. The probability that the statistic is obtained is the probability that it will be obtained in a single sample from the population. The variance of the values is the amount of variation among the values of the statistic in the sample. The formula for calculating the variance is the sum of the squared deviations from the mean, divided by the number of values in the sample. This can be written mathematically as: Variance = Σ (x - X)2/ n, where x is each value in the sample, X is the mean value, and n is the number of values in the sample.
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Find the measure of angle A.
60x
O 60°
O 30°
O 23°
O 37°
30x
A
Answer:
Step-by-step explanation:
sum of angles in a triangle=180º
90+60x+30x=180
90+90x=180
90(1+x)=180
1+x=2
x=1
angle A=30º
Sumi earns $6.30 in 1/2 hr at her job at the Pet food store. If she works for 60 hours how much will she make in total?
Answer:
$756.00
Step-by-step explanation:
6.30 x 2 = 12.60/hour
12.60 x 60 = $756.00
Write three equivalent ratios for 14/2
Answer:
4/8 4/6
Step-by-step explanation:
those are the only ones I could give but there should be more the step by step is pay attetion in class but if u looks at those they are equal vent so therefore they are its equals
An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?
Carli is getting new carpet for her rectangular bedroom. Her room is 14 feet long and
10 feet wide.
If the carpet costs $2.50 per square foot, how much will it cost to carpet her room?
Therefore, it will cost $350 to carpet Carli's rectangular bedroom with carpet that costs $2.50 per square foot.
What is area?Area is a measure of the size of a two-dimensional surface or region. It is usually expressed in square units, such as square meters (m²) or square feet (ft²). To calculate the area of a shape, you need to multiply its length by its width or use an appropriate formula for the specific shape. The concept of area is important in many fields, including mathematics, geometry, physics, engineering, architecture, and more. It is used to quantify the space occupied by objects or regions, to determine the amount of material needed to cover a surface, or to calculate the amount of paint or wallpaper required to decorate a room, among other applications.
Given by the question.
The area of Carli's rectangular bedroom can be calculated by multiplying its length by its width:
Area = Length × Width
Area = 14 ft × 10 ft
Area = 140 sq ft
The cost of carpeting her room can be found by multiplying the area of the room by the cost per square foot of carpet:
Cost = Area × Cost per square foot
Cost = 140 sq ft × $2.50/sq ft
Cost = $350
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I need help with questions 1,2, and 3. This class is microeconomics
Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.
What is budget?A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.
What is consumption?Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.
According to the given information:
To draw Ben's indifference curves, we need to plot different combinations of cookies and coffee that give Ben the same level of satisfaction. Since the slope of all his indifference curves is constant at -2, they will be downward-sloping straight lines. We can plot several indifference curves by varying the level of satisfaction they represent. The budget constraint is a straight line that represents all possible combinations of cookies and coffee that Ben can purchase with his $12 budget. The slope of the budget constraint is the ratio of the prices of coffee and cookies, which is 2:1. Ben optimally purchases the point where his budget constraint is tangent to his highest attainable indifference curve. In other words, he maximizes his satisfaction subject to his budget constraint. In the graph above, this point is labeled as "Optimal Consumption." At this point, Ben purchases 2 cookies and 2 coffees, spending $8 on coffee and $4 on cookies, which exhausts his $12 budget.To optimize his consumption, Ben should allocate his budget between cookies and coffee such that the ratio of their marginal utilities equals their prices. In other words, Ben should choose the combination of cookies and coffee where the marginal utility per dollar spent is the same for both goods. At his current consumption level of 3 coffees and 0 cookies, Ben's marginal utility per dollar spent on cookies is 2/2 = 1, and his marginal utility per dollar spent on coffee is 1/4 = 0.25. Since the marginal utility per dollar spent on cookies is higher than that of coffee, Ben should decrease his consumption of coffee and increase his consumption of cookies to achieve the optimal consumption level. He should continue adjusting his consumption until the marginal utility per dollar spent on each good is equal.To know more about budget and consumption visit:
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please help asap!!!!!!
Therefore, we can say that there is a 95% chance that a randomly selected light bulb will last between 675 and 900 hours.
What is probability?Probability is a measure of the likelihood of an event occurring. It is a mathematical concept that is used to quantify the chance of a specific outcome in a given situation. Probability is typically expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.
Here,
To solve this problem, we can use the z-score formula:
z = (x - mu) / sigma
where x is the value we want to find the probability for (in this case, between 675 and 900 hours), mu is the mean (750 hours), and sigma is the standard deviation (75 hours). We can then use a standard normal distribution table or calculator to find the probabilities associated with the calculated z-scores.
First, let's find the z-score for x = 675:
z = (675 - 750) / 75
= -1
Next, let's find the z-score for x = 900:
z = (900 - 750) / 75
2
Since the data is normally distributed, we can use this rule to estimate the probability that a randomly selected light bulb will last between 675 and 900 hours.
Thus, the probability that a randomly selected light bulb will last between 675 and 900 hours is approximately:
P = 95%
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9-12 Use the properties of logarithms to expand the quantity.
11. \(\ln \frac{x^{2}}{y^{3} z^{4}}\)
Step-by-step explanation:
lnx² - lny³ - lnz⁴
2lnx - 3lny -4lnz
Ginny's account after withdrawal?
Account balance of Ginny after withdrawal = $ 20 .
Given : Ginny's account balance before withdrawal ie . $ 40
Her withdrawal amount ie . $ 20
To find : account balance after withdrawal
Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .
After withdrawal ( taking out ) of $ 20 ,
Ginny has 40 - 20 = $ 20 left .
After adjustment , final amount = $ 20 .
Therefore , account balance of Ginny after withdrawal = $ 20 .
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Write the equation of the link that passes through point A and the origin
Answer: Choice B
y + 3 = (1/2)(x + 6)
===================================================
Explanation:
Point A is located at (x1,y1) = (-6,-3)
The origin is located at (x2,y2) = (0,0)
Find the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = ( 0 - (-3) )/( 0 - (-6) )
m = ( 0 + 3 )/( 0 + 6 )
m = 3/6
m = 1/2
Now turn to point slope form
y - y1 = m(x - x1)
y - (-3) = (1/2)(x - (-6))
y + 3 = (1/2)(x + 6)
Note: We could easily swap (x1,y1) and (x2,y2) to get an equivalent equation.
Find m∠CXY
Please help with this, this is for my test review!!!
Answer:
137°
Step-by-step explanation:
All angles in a triangle add up to 180° always.
Now imagine the two smaller shapes as a bigger triangle, CED. The measure of angle CED is 89°, and CDE is 48°. Do the math, and angle DCE is 43°.
But notice how the corresponding sides of the two smaller shapes are congruent. (CX=XE, and DY=YE) Meaning, the measure of angle C is equal to the measure of angle YXE.
We're almost there. CXY (what we're looking for) and YXE are supplementary angles, meaning the angle measures add up to 180. 180-43 = 137°.
The governor of state A earns $47,535 more than the governor of state B. If the total of their salaries is $299,115, find the salaries of each.
Movimiento en linea recta
El movimiento en línea recta se refiere al desplazamiento de un objeto en una trayectoria rectilínea, es decir, sin cambios de dirección.
En este tipo de movimiento, la velocidad y la aceleración del objeto pueden variar, pero su dirección se mantiene constante a lo largo del recorrido.
El movimiento en línea recta puede ser uniforme o no uniforme. En el caso del movimiento uniforme, la velocidad del objeto es constante, lo que implica que el desplazamiento realizado en intervalos iguales de tiempo es también constante.
Por otro lado, en el movimiento no uniforme, la velocidad cambia a lo largo del tiempo, resultando en diferentes desplazamientos en intervalos de tiempo iguales.
La descripción matemática del movimiento en línea recta se basa en conceptos como la posición, la velocidad y la aceleración. La posición se refiere a la ubicación del objeto en relación a un punto de referencia, la velocidad representa la tasa de cambio de la posición y la aceleración indica la tasa de cambio de la velocidad.
El estudio del movimiento en línea recta es fundamental en la física y tiene aplicaciones en diversas áreas, como la mecánica, la cinemática, la dinámica y la física de partículas.
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Advertising a business. Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
Show all work
The inequality representing the given situation is -
300x + 700y ≤ 7500
What is advertising?Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.
Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
We can write the inequality as -
300x + 700y ≤ 7500
where -
{x} - number of online ads posted
{y} - number of TV ads poste
Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.
Therefore, the inequality representing the given situation is -
300x + 700y ≤ 7500
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4.
The sum of two odd consecutive integers is 88. Find the integers.
Answer:
43 and 45
Step-by-step explanation:
→ State an expression for 2 odd consecutive numbers
2x + 1 and 2x + 3
→ Find the sum
4x + 4
→ Equate to 88
4x + 4 = 88
→ Minus 4 from both sides
4x = 84
→ Divide both sides by 4
x = 21
→ Substitute into original expressions
43 and 45
(12, 6), (28, 8) slope
Step-by-step explanation:
slope, m = ( y1-y2) / (x1-x2) = ( 6-8) / (12-28) = -2 / -16 = 1/8
Regina writes the expression y + 9 ● 3 / 4 Which expression is equivalent to the one Regina writes?
Answer:
so you do 4 times 9 and 3 and they add them to whatever y is
Step-by-step explanation:
Answer:
hello! its (9 x 3 divided by 4) + y
Step-by-step explanation:
yw lol
The functionſ is defined by f(x) = x.
Write down the expression for h (x).
Answer:
h(x) = |x + 4| - 2
Step-by-step explanation:
Translation of functions:
- 4 on the x-axis ⇒ |x + 4|
- 2 on the y-axis ⇒ -2
If a system of linear equations has no solution, what does this mean about the two lines?
Answer:
The two lines do not intersect, and are parallel to one another on a graph.
Step-by-step explanation:
A system of equations consists of two or more equations with two or more variables. The solution to these variables must satisfy all of the variables in the equations in the system at the same time. Usually, all the equations in the system are considered and solved simultaneously. A linear equation might have a unique solution, an infinite solution, or no solution at all.
A system with exactly one solution is called a consistent system, and it is said to be independent, and the graph of its lines intersects at the point that is the solution to the equations. A system with an infinite number of solution is said to be dependent and the lines are coincident on a graph.
If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, and the lines are parallel to one another on the graph.
For two lines of linear equations to have no solution, they must be parallel to each other i.e they must have the same slope.
The standard form of writing linear equation is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
For two lines of linear equations to have no solution, they must be parallel to each other i.e they must have the same slope.
For instance, the system of equations y = 2x + 7 and y = 2x - 3 have no solutions because they have the same slope.
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Give the most precise name for the polygon formed by points A, B, C, and D.
Step 1. The figure formed by the points A, B, C, and D is shown in red in the following image:
We need to determine the most precise name for this figure.
Step 2. The options we are given are:
-Trapezoid
-Isosceles triangle
-Rhombus
-Parallelogram
A diagram of these 4 figures:
The figure is not a trapezoid, and it is also not an isosceles triangle.
Step 3. To distinguish between the rhombus and the parallelogram we consider the following property of these figures:
In a rhombus all of the sides are equal, and in a parallelogram, sides can be different but opposite sides are equal.
Therefore, we need to determine the length of the sides of our figure.
Step 4. The top side and the bottom side have a length of 5:
To find the length of the diagonal side, we use the Pythagorean theorem:
Therefore, the length of the diagonal sides is:
\(\begin{gathered} \sqrt{3^2+4^2} \\ \downarrow \\ \sqrt{9+16} \\ \downarrow \\ \sqrt{25} \\ \downarrow \\ 5 \end{gathered}\)The diagonal sides are also 5,
Therefore, since all of the sides are equal, the figure is a rhombus.
Answer:
C. rhombus