−np − 6 ≤ 3(c − 5)Which of the following solves for n
Answers
Given:
\(-np-6\le3(c-5)\)\(\begin{gathered} -np\le3c-15+6 \\ -np\le3c-9 \\ np\ge9-3c \\ n\ge\frac{9-3c}{p} \end{gathered}\)Related Questions
Find the length of the third side. If necessary, round to the nearest tenth. 8 12
Answers
The length of the third side is 14.4 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We find the third side of a triangle by using Pythagoras theorem.
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
8²+12²=x²
64+144=x²
208=x²
Take square root on both sides
x=14.4
Hence, the length of the third side is 14.4 units.
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Which has the greater value? The sum of 89 and 45 or the difference between 89 and 45
Answers
Answer:
The sum of 89 and 45
Step-by-step explanation:
Because the sum of 89 and 45 is 134 and the difference of 89 and 45 is 44. And 134 > 44
Given: with median segments , , and Prove: Medians meet at point O. It is given that has median segments , , and . Because ___________, then , , and . The ratios of to is 1, of to is 1, and of to is 1 by substitution. Therefore, , , and are similar to each other. Then the medians meet at point O. What is the reasoning for the second step? A. medians intersect at multiple points B. medians divide each side of the triangle into two parts C. medians intersect at one point D. medians divide each side of the triangle in half
Answers
Answer:
A:medians divide each side of the triangle in half
Step-by-step explanation:
on plato
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow. Their answers are shown below:
Blue
Red
Red
Green
Yellow
Red
Red
Red
Complete the frequency table.
Colour
Red
Blue
Red
Yellow
Red
Blue
Green
| Yellow 1111
Green
Blue
Green
Blue
Tally
Un Un
un
Analysing and Displaying Data
Yellow
Yellow
Blue
Red
Frequency
Red
Red
Blue
Yellow
Answers
The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
It is given that:
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow
From the data given in the question.
Red : 6
Blue: 4
Green: 8
Yellow : 1 (half of 2)
Pink: 1 (half of 2)
Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
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What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 137.5 seconds. Assuming drive-through times are normally distributed with a standard deviation of 27 seconds, complete parts below:
Answers
To solve this problem, we need to standardize the drive-through time using the formula z = (x - μ) / σ, where x is the drive-through time, μ is the mean, and σ is the standard deviation. Then we can look up the area under the standard normal curve corresponding to a z-score of z using a standard normal distribution table or a calculator.
In this case, we want to find the probability that a randomly selected car spends more than 2 minutes in the drive-through, which corresponds to a drive-through time of x > 120 seconds. To standardize this value, we use:
z = (x - μ) / σ = (120 - 137.5) / 27 = -0.648
Looking up the area under the standard normal curve corresponding to a z-score of -0.648, we find:
P(z > -0.648) = 0.7406
Therefore, the probability that a randomly selected car spends more than 2 minutes in the drive-through is approximately 0.7406 or 74.06%.
b) What is the probability that a randomly selected car spends between 90 and 150 seconds in the drive-through?
To find the probability that a randomly selected car spends between 90 and 150 seconds in the drive-through, we need to standardize these values using the formula z = (x - μ) / σ, where x is the drive-through time, μ is the mean, and σ is the standard deviation. Then we can find the area under the standard normal curve between the corresponding z-scores using a standard normal distribution table or a calculator.
To standardize 90 seconds and 150 seconds, we use:
z1 = (90 - 137.5) / 27 = -1.7593
z2 = (150 - 137.5) / 27 = 0.4629
Using a standard normal distribution table or a calculator to find the area under the standard normal curve between z1 = -1.7593 and z2 = 0.4629, we get:
P(-1.7593
(I hope that helps you)
Some triangles can have more than one right angle true or false
Answers
Answer:
False
Step-by-step explanation:
Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.
Merge onto Highway 40 and drive 3/5
mile. Stop and pay the toll. Then
continue on Highway 40 for twice this.
distance. How much longer will you be
on Highway 40 after you pay the foll?
Answers
Distance traveled after toll payment is 1.2 miles on highway 40.
What is Distance ?The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.
Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.
The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.
Distance traveled before toll payment =3/5 miles on highway 40
Distance traveled after toll payment =2*3/5 = 6/5 =
1.2 miles on highway 40.
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Gentry Industries has the following information about maintenance costs in the past six months.
Month Machine _Hours Amount
January 200 $2,800
February 350 3,000
March 450 4,000
April 500 5,000
May 600 5,200
June 580 5,800
How much would Gentry pay if maintenance machine hours are 550?
Answers
Answer:
Total cost= $5,425
Step-by-step explanation:
Giving the following information:
Month Machine _Hours Amount
January 200 $2,800
February 350 3,000
March 450 4,000
April 500 5,000
May 600 5,200
June 580 5,800
First, we need to calculate the fixed and variable costs. To do it, we will use the high-low method:
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (5,800 - 2,800) / (600 - 200)
Variable cost per unit= $7.5 per hour
Fixed costs= Highest activity cost - (Variable cost per unit * HAU)
Fixed costs= 5,800 - (7.5*600)
Fixed costs= $1,300
Fixed costs= LAC - (Variable cost per unit* LAU)
Fixed costs= 2,800 - (7.5*200)
Fixed costs= $1,300
Now, we can determine the total cost for 550 hours:
Total cost= 1,300 + 7.5*550
Total cost= $5,425
A cylindrical steel pipe with a liquid is 21 cm long with radius 0, 4 cm and its hollow part is of radius 0, 1 cm. What is the volume of liquid, in litres, in the pipe? A. 9000 litres B. 9400 litres C. 9900 litres D. 10100 litres
Answers
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.
To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.
Given:
Length of the cylindrical steel pipe (hollow part) = 21 cm
Radius of the solid cylinder = 0.4 cm
Radius of the hollow cylinder = 0.1 cm
First, let's calculate the volume of the solid cylinder (hollow part):
V1 = π × \(r1^2\) × h
V1 = π × \((0.4 cm)^2\) × 21 cm
Next, let's calculate the volume of the hollow cylinder:
V2 = π × \(r2^2\) × h
V2 = π × \((0.1 cm)^2\) × 21 cm
Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:
Volume of liquid = V1 - V2
Let's calculate these values:
V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³
V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³
Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³
To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:
Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.
Therefore, none of the options A, B, C, or D provided is the correct answer.
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pls help its urgent!
Answers
Since each term can be written as the previous term divided by three, this is a geometric sequence.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
For this problem, we have that each term can be written as the previous term multiplied by one third or divided by three, hence the division of consecutive terms is always the same and this is a geometric sequence.
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if instead the triangle on the left had the same area as the circle on the right
Answers
If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.
Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.
This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.
Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.
Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.
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lonnie has 32 inches of wood to make a wooden rectangular picture frame. what are all of the possible whole numbers dimensions for the picture frame
Answers
The possible whole numbers dimensions are (1, 15), (2, 14), (3, 13), (4, 12), (5, 11), (6, 10), (7, 9) and (8, 8)
What are all of the possible whole numbers dimensionsLet's assume that the length of the rectangular frame is L inches and the width is W inches.
We know that the perimeter of a rectangle is given by the formula:
P = 2(L + W)
And we also know that the perimeter of the wooden frame should be equal to the length of the wood that Lonnie has, which is 32 inches.
So, we have
2(L + W) = 32
Divide
L + W = 16
The integers that add up to 16 are (1, 15), (2, 14), (3, 13), (4, 12), (5, 11), (6, 10), (7, 9) and (8, 8)
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A salesman normally makes a sale (closes) on % of his presentations. Assuming the presentations are independent, find the probability of the following. a) He fails to close for the first time on his attempt. b) He closes his first presentation on his attempt. c) The first presentation he closes will be on his second attempt. d) The first presentation he closes will be on one of his first three attempts.
Answers
Answer:
\((a)\ 0.0864\)
\((b)\ 0.096\)
\((c)\ 0.24\)
\((d)\ 0.936\)
Step-by-step explanation:
Given
\(p \to\) close
\(q \to\) fail to close
\(p = 60\%\)
\(p = 0.60\)
First, calculate the value of q
Using complement rule
\(q = 1 - p\)
\(q = 1 - 0.60\)
\(q = 0.40\)
So, we have:
\(p = 0.60\) and \(q = 0.40\)
Solving (a): Fails to close on the 4th attempt
This means that he closes the first three attempts. The event is represented as: p p p q
So, we have:
\(Pr = p*p*p*q\)
\(Pr = p^3*q\)
\(Pr = 0.60^3*0.40\)
\(Pr = 0.0864\)
Solving (b): He closes for the first time on the 3rd attempt
This means that he fails to close the first two attempts. The event is represented as: q q p
So, we have:
\(Pr = q * q * p\)
\(Pr = q^2 * p\)
\(Pr = 0.40^2 * 0.60\)
\(Pr = 0.096\)
Solving (c): First he closes is his 2nd attempt
This means that he fails to close the first. The event is represented as: q p
So, we have:
\(Pr = q * p\)
\(Pr = 0.40 * 0.60\)
\(Pr = 0.24\)
Solving (d): The first he close is one of his 3 attempts
To do this, we make use of complement rule
The event that he does not close any of his first three attempts is: q q q
The probability is:
\(Pr = q*q*q\)
\(Pr = q^3\)
The opposite is that the first he closes is one of the first three
So, we have:
\(Pr' = 1- Pr\) --- complement rule
\(Pr' = 1- q^3\)
\(Pr' = 1- 0.40^3\)
\(Pr' = 1- 0.064\)
\(Pr' = 0.936\)
4x3 = -5x - 21 solve for x
Answers
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
The table shows the number of songs and the length of the playlist on an iPad. Each song is the same leng
Answers
Answer:4 minutes
Step-by-step explanation:
16/4 is 4
36/9 is 4
64/16 is 4
IN CASE YOU ARE LOOKING FOR THE ANSWER
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. Earth has a radius of 3959 mi.
What is the climber's distance to the horizon?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answers
Answer: The answer is 171.2 Miles
Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.
Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.
Let sin(2x) = cos(x), where 0° ≤ x < 180°. What are the possible values for x?
30° only
90° only
30° or 150°
30°, 90°, or 150°
Answers
Double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
So rewrite the equation as
sin(2x) = cos(x)
2 sin(x) cos(x) = cos(x)
2 sin(x) cos(x) - cos(x) = 0
cos(x) (2 sin(x) - 1) = 0
There are two cases,
cos(x) = 0 or 2 sin(x) - 1 = 0
cos(x) = 0 or sin(x) = 1/2
In the interval 0º ≤ x < 180º, we have cos(90º) = 0 and sin(30º) = sin(150º) = 1/2, so the possible values are 30º, 90º, or 150º.
Answer:
D. 30°, 90°, or 150°
Step-by-step explanation:
got it right on edge :)
Please help .... I’ll give the brainliest
Answers
What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?
Answers
Answer:
Step-by-step explanation:
1. regroup terms
\(125x^3+343+525x^2+735x\)
2. Rewrite \(125x^3\) as \((5x)^3\) and 343 as \(7^3\)
\((5x)^3+7^3+525x^2+735x\)
3. Since both terms are perfect cubes, factor using the sum of cubes formula, \(a^3+b^3 = (a+b)(a^2-ab+b^2)\), where \(a=5x\) and \(b=7\)
\((5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x\)
\((5x+7)(25x^2-35x+49)+525x^2+735x\)
4. Factor \(105x\) out of \(525x^2+735x\)
\((5x+7)(25x^2-35x+49)+105x(5x+7)\)
5. Regroup
\((5x+7)(25x^2-35x+49+105x)\)
\((5x+7)(25x^2+70x+49)\)
6. Factor again
\((5x+7)(5x+7)^2\)
\((5x+7)^3\)
Answer:
(5x+7)^3
Step-by-step explanation:
(a+b)^3=a^3+3a^2b+3ab^2+b^3
125x^3 + 525x^2 + 735x + 343=(5x)^3+3*(5x)^2*7+3*5x*7^2+7^3=(5x+7)^3Assume one individual from the group is randomly selected. Find the probability of getting someone who tests negative, given that he or she had the disease. the probability is approximately?
Answers
Answer:
\(P(Negative | Yes) = 0.0486\)
Step-by-step explanation:
Given
\(\begin{array}{ccc}{} & {Yes} & {No} & {Positive} & {137} & {24} & {Negative} & {7} & {132} \ \end{array}\)
Required
\(P(Negative | Yes)\)
This is calculated as:
\(P(Negative | Yes) = \frac{n(Negative\ n\ Yes)}{n(Yes)}\)
So, we have:
\(P(Negative | Yes) = \frac{7}{137+7}\)
\(P(Negative | Yes) = \frac{7}{144}\)
\(P(Negative | Yes) = 0.0486\)
e the function.
R
ƒ(x) = −x² – 10x + 16
Find f(-7)
Submit Answer
Answers
Answer
37
Step by Step explanation
replace x with -7
which gives
-(-7)^2-10(-7)+16
= 37
Joseph's lunch at a restaurant costs $13.00. without tax. He leaves. the waiter a tip of 17% of the cost of the lunch, without tax what is the total cost of the lunch, including the tip, without tax? is a math word problem I'm in 7th grade so pls dont make it that hard to explain.
Answers
Joseph's lunch costs $13 without tax.
He leaves the waiter a tip of 17% OF THE COST OF THE LUNCH. This means Joseph leaves a tip of
13 + (13 x 17%) = Total cost
Remember, the question specificies that his lunch is paid without tax. Therefore;
\(\begin{gathered} \text{Cost}=13.00 \\ \text{Tip}=13\times0.17\text{ (equals 2.21)} \\ (\text{Note that 17\% is mathematically written as 0.17)} \\ \text{Total cost of lunch}=\text{Cost}+\text{Tip} \\ \text{Cost}+\text{Tip}=13+2.21 \\ \text{Cost}+\text{Tip}=15.21 \\ \text{Total cost of lunch=\$15.21} \end{gathered}\)The total cost of the lunch is $15.21
BRAINLIST AND EXTRA POITS
Answers
Answer:
(4.75, 2.25)
Step-by-step explanation:
When reflected across the x-axis, the y-coordinate becomes its opposite.
So if the pair given was after the reflection, the original will have the same x-value, and the opposite y-value.
(4.75 , -2.25) = (4.75 , 2.25)
(4.75, 2.25)
Step-by-step explanation:
When reflected across the x-axis, the y-coordinate becomes its opposite.
So if the pair given was after the reflection, the original will have the same x-value, and the opposite y-value.
(4.75 , -2.25) = (4.75 , 2.25)
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7x + 8y = 25 9x + 10y =35 elimination method please
Answers
\(7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 79 ~ \text{and do (ii) - (i):}\\\\\dfrac 79 (9x +10y) - (7x +8y) = \dfrac 79 (35) - 25\\\\\\\implies 7x +\dfrac{70y}9 - 7x -8y = \dfrac{245}9 -25\\\\\\\implies - \dfrac{2y}9 = \dfrac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\\)
\(\\\text{Hence}~ (x,y) = (15,-10)\)
The function f(x) = –StartRoot x EndRoot is represented by the graph. What is the range of the given function? {y | all real numbers} {y | y ≤ 0} {y | y ≥ 0}
Answers
Answer:
{y | y ≤ 0}
Step-by-step explanation:
The vertical extent of the graph is all values of y less than or equal to zero:
{y | y ≤ 0}
Answer: {y | y ≤ 0}
Step-by-step explanation: It is the correct answer <3 have an amazing day.
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is mZDEF?
Answers
Answer: \(m\angle DE F=90^{\circ}\)
Step-by-step explanation:
The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).
The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).
Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).
Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. WILL MAKE BRAINLIEST!!
tan G = ?
tan H = ?
Answers
The tangents of the acute angles in the right triangle gives:
tan(G) = 2
tan(H) = 1/2
How to find the tangents of angles?It should be noted that tangent is the ratio of opposite over adjacent. Thus:
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A + B = 90 degrees
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23. A machine is made up of 3 components: an upper part, a mid part, and a lower part. The
machine is then assembled. 5 percent of the upper parts are defective; 4 percent of the mid
parts are defective; 1 percent of the lower parts are defective. What is the probability that a
machine is non-defective?
A. 0.100
B. 0.903
C. 0.900
D. 0.0002
E. 0.912
Answers
The probability that the machine is non defective is 0.900
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Probability = sample space / total outcome
The probability that the upper part is defective = 5/100 = 0.05
The probability that the middle part is defective =
4/100 = 0.04
The probability that the lower part is faulty = 1/100 = 0.01
total probability = 0.01 + 0.04 + 0.05 = 0.10
Probability that the machine is non defective = 1-0.10 = 0.900
Therefore the probability that the machine is not defective is 0.900
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Help me out with number 9 (geometry)
Answers
Answer:
The answer to the question provided is 37.5.