The point at 1/5 of the coordinate points is (-11/5, -7/5)
How to determine the point?The coordinates are given as:
(-3, -2) to (1, 1)?
The location 1/5 can be represented as
m : n = 1 : 4
The location of the point is then calculated as:
P = 1/5 * (mx2 + nx1, my2 + ny1)
This gives
P = 1/5 * (1 * 1 + 4 * -3, 1 * 1 + 4 * -2)
Evaluate
P = 1/5 * (-11, -7)
This gives
P = (-11/5, -7/5)
Hence, the point at 1/5 of the coordinate points is (-11/5, -7/5)
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To prepare for a bake-off, Kim used 580 grams of flour each day for 2 weeks. How many kilograms did Kim use in those 2 weeks?
1 g = 0.001 kg
Answer:
below
Step-by-step explanation:
1 day = 580g
2weeks(14days)= 580×14g
= 8,120g
1g= 0.001kg
8,120g= 8,120 × 0.001(kg)
=8.12kg
Expressions
Evaluate 5x + y for x = 6 and y = 3.
5x+y=
(Type a whole number.)
Answer:
30 + 3
Step-by-step explanation:
We are multiplying 5 and x.
5*x
=5*6
=30
The y is alone.
y
=3
Let's solve it.
30 + 3 = 33.
x=6
y=3
hope this helped.
Solve of xxx
12xxx+33=93
In the equation 12x+33=93, the value of x is 5.
The given equation is 12x+33=93.
Twelve times of x plus thirty three equal to ninety three.
x is the variable in the equation.
We need to solve for x:
Subtract 33 from both sides of the equation:
12x=93-33
12x=60
Divide both sides of the equation by 12:
x=60/12
x=5
Hence, the value of x in the equation is 5.
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The regular price of an item at a store is p dollars. The item is on sale for 25% off the regular price. Select all of the expressions shown below that represent the sale price, in dollars, of the item. p - 0.25p p - 0.25, p 0.75p 0.75, p 0.25p 0.25, p 1 - 0.25p 1 - 0.25, p p - 0.75p p - 0.75, p
To find the sale price, we need to turn the percentage into a fraction and subtract it from the original price.
25% = 0.25
0.25 * p
0.25p (discount)
p - 0.25p (sale price)
Best of Luck!
A cylinder has a height of 13 millimeters and a radius of 13 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
6898.58mm^3
Step-by-step explanation:
volume= π x radius^2 x h
= 3.14 x (13)^2 x 13
= 3.14 x 169 x 13
=6898.58
What is 9% of 80? I really need help I’m failing math class
Answer:
7.2
Step-by-step explanation:
good luck hope it helps
Step-by-step explanation:
To find 9% of 80 you multiply 80 and 0.09(I converted 9% to 0.09).
80x0.09=7.2
Hope it helps!
Tom has 25 bumblebee marbles and Marcus has a few more than Tom. If they have 56 marbles in all, how many bumblebee marbles does Marcus have?
Answer:
56-25
= 31
Step-by-step explanation:
Answer: Marcus has 31 marbles
Step-by-step explanation: Tom has 25 marbles and there is 56 total so you subtract 25 from 56 and it sums up to 31. Your welcome.
what is the probability of not rolling a 3 on a six sided die
Answer:
Step-by-step explanation:
5/6
Answer:
5/6 or approximately 0.8333 (83.33%)
Step-by-step explanation:
This is because there are five possible outcomes that are not a 3 (1, 2, 4, 5, 6) out of a total of six possible outcomes.
please provide a solution its urgent
What are the solutions to 8=|2x|
Answer:
4 and -4
Step-by-step explanation:
:)
Answer:
+4, -4
Step-by-step explanation:
8=2× |x|
2× |x|= 8
|x|= 8÷2
|x|=4
x= +4 , -4
simplify: -(7z-12b+4c)
Answer:
-7z+12b-4c or 12b-4c-7c
3. What was a major impact of the Neolithic Revolution? (1 point)
O Male family members became leaders.
An economic system based upon bartering developed.
O Food surpluses led to population growth.
OWarriors learned how to make weapons.
Answer: Food surpluses led to population growth.
Step-by-step explanation:
Food surpluses led to population growth.
Lies on the terminal arm of an angle of rotation. name the point in each of the other quadrants which has the same reference angle.
The point that lies on the terminal arm of an angle of rotation determines its quadrant. In each of the other quadrants, there is a point with the same reference angle as the original point.
The point that lies on the terminal arm of an angle of rotation determines the quadrant in which the angle is located. The terminal arm is the line segment starting from the origin and extending to the point on the coordinate plane that corresponds to the angle.
In each of the other quadrants, there is a point with the same reference angle as the original point. The reference angle is the acute angle formed between the terminal arm and the x-axis.
For example, if the original point lies on the terminal arm in the first quadrant, the point in the second quadrant with the same reference angle would have the same x-coordinate but a negative y-coordinate. Similarly, the point in the third quadrant with the same reference angle would have negative x and y coordinates, and the point in the fourth quadrant would have a negative x-coordinate but a positive y-coordinate.
In summary, the point on the terminal arm of an angle determines the quadrant, and in each of the other quadrants, there is a point with the same reference angle as the original point.
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if output increases by 5 percent and population growth is 3 percent, per capita output grows by about:
In this case, 5 percent - 3 percent = 2 percent. However, since we are interested in per capita output,the growth relative to the population size. Dividing the 2 percent growth by the population growth rate of 3 percent and multiplying by 100 gives us approximately 1.94 percent.
To provide a more detailed explanation, per capita output refers to the average output per person in a population. It is calculated by dividing the total output by the population size. When output increases, it can be due to factors such as technological advancements, increased productivity, or expanded production capacity. Population growth, on the other hand, refers to the increase in the number of individuals in a population over time.
When output increases by 5 percent, it indicates that the total output has grown. However, to determine the per capita output, we need to account for the population growth as well. If the population is growing at a rate of 3 percent, it means that the number of individuals in the population is increasing. This increase in population should be considered when calculating the per capita output.
By subtracting the population growth rate of 3 percent from the output growth rate of 5 percent, we obtain the net growth in per capita output, which is approximately 2 percent. This means that on average, each person in the population experiences a growth in output of approximately 1.94 percent after accounting for population growth.
It's important to note that these calculations assume that the output growth and population growth rates are constant and apply uniformly across the entire population. In reality, variations in growth rates and population dynamics can lead to different outcomes.
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Jamie wants to know the volume of his gold ring in cubic centimeters. He gets a rectangular glass with a base 3\text{ cm}3 cm3, start text, space, c, m, end text by 2\text{ cm}2 cm2, start text, space, c, m, end text and fills the glass 4 \text{ cm}4 cm4, start text, space, c, m, end text high with water. Jamie drops his gold ring in the glass and measures the new height of the water to be 4.25\text{ cm}4.25 cm4, point, 25, start text, space, c, m, end text. What is the volume of Jamie's ring in cubic centimeters
The volume of Jamie's gold ring in cubic centimeters will be 1.5 cubic centimeters.
The volume of the prism is given as
V = L x W x H
Jamie gets a rectangular glass with a base of 3 cm by 2 cm and fills the glass 4 cm high with water.
Jamie drops her gold ring into the glass and measures the new height of the water as 4.25 cm.
Then the volume of her gold ring in cubic centimeters will be
V = 3 × 2 ×(4.25 - 4)
V = 3 × 2 × 0.25
V = 1.5 cubic centimeters
The volume of her gold ring in cubic centimeters will be 1.5 cubic centimeters.
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HELP QUICK PLS!!!
The nutrition facts label on a box of crackers shows that there are 240 milligrams of sodium in every 36 crackers. You eat 15 crackers. How much sodium do you consume?
Answer:
The answer is 1
The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?
Using the following weights:.3, 2, .5 find the forecast for the next period. Month 1 – 381, Month 2-366, Month 3 - 348. O a. 143 O b. 241 O c. 360 O d. 421
The forecast for the next period using the following weights: 0.3, 2, 0.5 is Option d. 421.
To compute the forecast for the next period, we'll use the weighted moving average (WMA) formula.WMA formula:
WMA = W1Yt-1 + W2Yt-2 + ... + WnYt-n
Where, WMA is the weighted moving average
W1, W2, ..., Wn are the weights (must sum to 1)
Yt-n is the demand in the n-th period before the current period
As we know Month 1 – 381, Month 2-366, and Month 3 - 348.
Weights: 0.3, 2, 0.5
We'll compute the forecast for the next period (month 4) using the data:
WMA = W1Yt-1 + W2Yt-2 + W3Yt-3WMA
= 0.3(381) + 2(366) + 0.5(348)WMA
= 114.3 + 732 + 174WMA
= 1020.3
Therefore, the forecast for the next period is 1020.3, which rounds to 421. Hence, option d is correct.
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Find the value of f(x) at the given value of x: f(x) = (x -4)(x + 3), x = 3
Answer:
-6
Step-by-step explanation:
f(x)= (3- 4)(3+3)
=( -1 )(6)
= -6
Which is not a characteristic of the standard deviation? A. It can be calculated when the data contain negative or zero values. B. It is not applicable when data are continuous. C. It is always the square root of the variance. D. Its physical interpretation is not as easy as the MAD.
The right answer is B. It is not applicable when data are continuous, is not a characteristic of the standard deviation.
The statement "It is not applicable when data are continuous" is not a characteristic of the standard deviation.
The standard deviation is a measure of the dispersion or variability of a dataset. It quantifies how spread out the values are from the mean. Explanation for other parts are as follows:
A. It can be calculated when the data contain negative or zero values:
This is true. The standard deviation can be calculated for datasets that contain negative or zero values. It considers the deviations from the mean, regardless of their sign.
C. It is always the square root of the variance:
This is true. A quadrilateral with exactly two sets of congruent following sides is called a kite. The variance is the average of the squared deviations from the mean.
D. Its physical interpretation is not as easy as the MAD:
This is a subjective statement. The physical interpretation of the standard deviation depends on the context and the familiarity of the user with the concept. However, it is often considered a more widely used and understood measure of dispersion compared to the Mean Absolute Deviation (MAD).
The statement "It is not applicable when data are continuous" is incorrect. The standard deviation can be calculated for both discrete and continuous data. The other options provided (A, C, and D) correctly describe characteristics of the standard deviation.
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- 3m + 6 (m - 2) = 9
Answer:
m=7
Step-by-step explanation:
step 1: -3m+6m-12=9
step 2: 3m-12=9
step 3: 3m=21
step 4: m=7
Answer:
m=7
Step-by-step explanation:
1. Simpilfy both sides of the equation & combine like terms
2. Add 12 to both sides
3. Divide 3 from both sides
21 divided by 3 equals 7.
DE LAS SIGUIENTES IMÁGENES, SELECCIONA CUAL NO REPRESENTA UN CAMBIO QUIMICO *
Answer:
two ways in which the relationship negatively
NEED HELP ASAP!!
BRAINLEST WILL BE THe PRIZE FOR HELPING
Answer:
y=2x+2
Step-by-step explanation:
Answer:
A ; y=2x+2
Step-by-step explanation:
you may simply plug in the given values of x and y into each equation to determine which holds true.
Assume that all taxes in the economy are autonomous totalling 70 million, autonomous consumption is 75 million, and the marginal propensity to save is 0.5.
What is the level of consumption when the level of income is 850?
The level of consumption when the level of income is 850 million is 500 million. We need to use the formula for consumption function, which is C = A + bY, where C is consumption, A is autonomous consumption, b is the marginal propensity to consume, and Y is income.
In this case, we are given that autonomous consumption is 75 million and the marginal propensity to save is 0.5. Since the marginal propensity to consume (MPC) and the marginal propensity to save (MPS) add up to one, we can calculate the marginal propensity to consume as follows:
MPC = 1 - MPS
MPC = 1 - 0.5
MPC = 0.5
Therefore, the consumption function can be written as: C = 75 + 0.5Y
To find the level of consumption when the level of income is 850, we can substitute Y = 850 into the consumption function:
C = 75 + 0.5(850)
C = 75 + 425
C = 500
So the level of consumption when the level of income is 850 is 500 million. In summary, the answer to the question is that the level of consumption when the level of income is 850 is 500 million.
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find each of the following probabilities when n independent bernoulli trials are carried out with probability of success p. a) the probability of no failures b) the probability of at least one failure c) the probability of at most one failure d) the probability of at least two failures
For n independent Bernoulli's trial , with probability of success as "p" then , the
(a) probability of no failure is ⇒ pⁿ ,
(b) at least one failure is ⇒ 1 - pⁿ ,
(c) at most one failure is ⇒ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ,
(d) at least two failure is ⇒ 1 - [ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ] .
In the question ,
it is given that ,
number of Bernoulli's trials is = "n" ;
the probability of success is ⇒ p ;
Part (a)
the probability of No Failure is equivalent to probability of all success .
= pⁿ .
Part(b)
The probability of at least one failure can be written as
= 1 - (probability of all success)
= 1 - pⁿ
Part(c)
the required probability of at most one failure is =
= probability of "No Failure" \(+\) probability of "One Failure"
= ⁿCₙpⁿ(1-p)⁰ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)¹
= pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)
Part(d)
the probability of at least two failure is =
= 1 - probability of "at most one failure" ...substituting from part(c)
= 1 - [ ⁿCₙpⁿ(1-p)⁰ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)¹ ]
= 1 - [ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ]
Therefore , the required probabilities are (a) pⁿ ,
(b) 1 - pⁿ ,
(c) pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) and
(d) 1 - [ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ] .
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Write a linear equation given the two points: (-3, -9) and (4, -2)
Find the surface area
HELP
Step-by-step explanation:
4×2=8
4/2×3.54=7
:.8+7=15
i need help right now!!!!
Choose Yes or No to tell whether each statement is correct.
Coordinate plane showing triangle A B C with coordinates A 4, 1; B negative 1, 4; and C negative 1, 1.
BC is 2 units long.
Choose...
CA is 5 units long.
Choose...
BC is shorter than BA.
Choose...
AC is 2 units longer than BC.
Choose...
Answer:
no, yes, yes, no
Step-by-step explanation:
BC is 3 units long, CA is 5 units long, BC is shorter than BA by a little over 3 units (use pythagorean theorem), and AC is longer than BC by 3 units not 2.
What is the equation of the tangent to the parabola y=4+2x-x^2 such that:
PLEASE HELP 100 POINTS+ BRAINLIEST
Answer:
\(\textsf{1)} \quad y=x+\dfrac{17}{4}\)
\(\textsf{2)} \quad y=2x+4\)
Step-by-step explanation:
Differentiation is an algebraic process that finds the gradient (slope) of a curve.
At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.
Given function:
\(y=4+2x-x^2\)
Differentiate the given function:
\(\implies \dfrac{\text{d}y}{\text{d}x}=2-2x\)
If the tangent to the parabola forms an angle of 45° with the negative direction of the x-axis, then the gradient of the tangent is 1.
Set the differentiated function to 1 to find the x-value of the point where the gradient of the tangent is 1:
\(\implies \dfrac{\text{d}y}{\text{d}x}=1\)
\(\implies 2-2x=1\)
\(\implies -2x=-1\)
\(\implies x=\dfrac{1}{2}\)
Substitute x = 1/2 into the given function to find the y-value of the point:
\(\implies y=4+2\left(\dfrac{1}{2}\right)-\left(\dfrac{1}{2}\right)^2=\dfrac{19}{4}\)
Therefore, the point at which the tangent of the parabola forms an angle of 45° with the negative direction of the x-axis is:
\(\left(\dfrac{1}{2},\dfrac{19}{4}\right)\)Substitute the found point and slope into the point-slope formula to create an equation of the tangent:
\(\implies y-y_1=m(x-x_1)\)
\(\implies y-\dfrac{19}{4}=1\left(x-\dfrac{1}{2}\right)\)
\(\implies y=x+\dfrac{17}{4}\)
--------------------------------------------------------------------------------------
Given function:
\(y=4+2x-x^2\)
Differentiate the given function:
\(\implies \dfrac{\text{d}y}{\text{d}x}=2-2x\)
If the tangent to the parabola is parallel to the line y = 2x - 4 then the gradient of the tangent is 2 (since parallel lines have the same gradient).
Set the differentiated function to 2 to find the x-value of the point where the gradient of the tangent is 2:
\(\implies \dfrac{\text{d}y}{\text{d}x}=2\)
\(\implies 2-2x=2\)
\(\implies -2x=0\)
\(\implies x=0\)
Substitute x = 0 into the given function to find the y-value of the point:
\(\implies y=4+2\left(0\right)-\left(0\right)^2=4\)
Therefore, the point at which the tangent of the parabola is parallel to the line y = 2x - 4 is:
(0, 4)Substitute the found point and slope into the point-slope formula to create an equation of the tangent:
\(\implies y-y_1=m(x-x_1)\)
\(\implies y-4=2\left(x-0\right)\)
\(\implies y=2x+4\)
Ms.Mendoza's monthly income was increased by 15%. If her salary last month was 10,000,how much is her salary now
Answer:
11500
Step-by-step explanation:
15÷100 = 0.15
0.15 × 10000 = 1500
10000 + 1500 = 11500