Answer: 47
Step-by-step explanation:
Amy's bookshelf has 24 inches of space remaining. Each of her notebooks is inches wide, How many notebooks will fit in the remaining space?
Remaining inches=24
Notebook inches=3/8
Notebooks will fit in the remaining space:
\(\frac{24}{\frac{3}{8}}=\frac{24\times8}{3}=64\)We can fit 64 notebooks in the remaining space.
the school environment science club has $500 of funds. each time they go on a field trip. it costs them $80. Write an algebraic expression that represents the money the club has after going on x field trips
Answer:
500 ÷ 80=x
Step-by-step explanation:
If the school environment science club has $500 of funds and it cost $80 divide 500 and 80 and it should give you your answer.
The harbormaster wants to place buoys where the river bottom is 20 feet below the surface of the water. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed. blank = 1/5|s blank|blank
Answer:
The answer is below
Step-by-step explanation:
The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed
Answer:
To solve the problem, the depth of the water would be equated to the position of the river bottom.
\(d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore\)
SECTION 8-11 8-2. Functions of Several Variables and Partial Derivatives 1. Find (-10,4,-3) for fr.v.2) 2-3y² +5²-1. 2. Find (z.g) for f(r.g) 3²+2ry-7y². 3. Find for(2-3) 4. Find C(r.) for C(r.) 3+1ry-8+4r-15y-120.
To find the value of f(r, v) at (-10, 4, -3), substitute the given values into the function: f(-10, 4, -3) = 2 - 3(4)^2 + 5^2 - 1 = 2 - 3(16) + 25 - 1 = 2 - 48 + 25 - 1 = -22.
The value of g(r, g) at (z, g) is 3z^2 + 2rg - 7g^2.
To find the value of g(r, g) at (z, g), substitute the given values into the function: g(z, g) = 3(z)^2 + 2(z)(g) - 7(g)^2 = 3z^2 + 2zg - 7g^2.
The value of f(2 - 3) is not defined as the function requires more than one variable.
The function f(r, v) requires two variables, r and v. Substituting a single value (2 - 3) is not valid for this function.
The value of C(r) at (r, ) is 3 + r - 8 - 15 - 120 = -140.
To find the value of C(r) at (r, ), substitute the given values into the function: C(r) = 3 + 1(r) - 8 + 4(r) - 15 - 120 = 3 + r - 8 + 4r - 15 - 120 = 5r - 140
1. To find the value of a function of several variables at a specific point, substitute the given values into the function and evaluate the expression.
2. Similar to the first question, substitute the given values into the function and calculate the result.
3. This question seems to have an error as the function requires two variables, but only one (2 - 3) is given.
4. Follow the same process as the previous questions: substitute the given values into the function and simplify the expression to find the result.
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How many cubic inches are needed to fill this
rectangular prism?
10 in.
9 in.
5 in.
HELP ASAP
A picture is 7 inches wide and 9 inches long. A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long. What scale factor was used to enlarge the picture?
9/7
7/9
31.5/7
7/31.5
The Scale factor was used to enlarge the picture is 7/ 31.5.
What is Scale factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
A picture is 7 inches wide and 9 inches long.
A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.
So, scale factor is
= Original dimension / Enlarged dimension
= 9/ 40.5
= 90/ 405
= 10/45
= 2/9
Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.
= 7/ 3.15
= 70/31.5
= 2/9
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Which is the product of 7/9 and 6?
A. 1 4/9
B. 3 7/9
C. 4 2/3
D. 7 5/7
Answer:
C. 4 2/3
Step-by-step explanation:
1) Use this rule: a/b * c = ac/b.
7 * 6/9
2) Simplify 7 * 6 to 42.
42/9
3) Simplify.
14/3
4) Convert to mixed fractin form.
4 2/3
Answer:
The product of 7/9 and 6:
\(\\7/9 x 6 \\\\7x6=42\\\\42/9\\4 6/9\\\\4 is the whole number\\6/9 is the fraction that if we remove the 3 from both of us, it gives us the result 2/3\\ The answer is the B \\\)
Step-by-step explanation:
the answer is the B
Because You only had to multiply 6 by 7 and the result, which would be 42 over 9, should be converted to a mixed number, which would be dividing 42 by 9, which is 4, and us over 6, which is four, which is the whole number, and 6 is the numerator and you don't change the nine since it is still the denominator.
Because the 4 is the whole number
And 6/9 is the fraction that if were move the 3 from both of us , it gives us the result is 2/3
So we have 4 2/3
the answer is the B
f(x)
- 4x² + 4x-4
Find f(3)
Find the volume V obtained by rotating the region bounded by the given curves about the specified axis.
y = 3 sin x, y = 3 cos x, 0 ≤ x ≤ (pi/4) about y = 3
V = _____
The volume V obtained by rotating the region bounded by the curves y = 3 sin x, y = 3 cos x, 0 ≤ x ≤ (pi/4) about y = 3 is (105/48)π or 6.9025.
To find the volume V obtained by rotating the region bounded by the curves y = 3 sin x, y = 3 cos x, 0 ≤ x ≤ (pi/4) about y = 3, we can use the disk method.
First, we need to find the equation of the line y = 3, which is the axis of rotation. Since the axis of rotation is a horizontal line, we can simply use y = 3.
Next, we need to find the radius of each disk at each value of x. The radius is the distance between the curve and the axis of rotation. Since we are rotating around y = 3, the radius is given by:
r = 3 - y
Now, we need to integrate the area of each disk over the given interval [0, pi/4]. The area of each disk is given by:
A = πr^2
Substituting r = 3 - y, we have:
A = π(3 - y)^2
The volume V is then given by integrating the area A over the interval [0, pi/4]:
V = ∫[0,pi/4] π(3 - y)^2 dy
V = π ∫[0,pi/4] (9 - 6y + y^2) dy
V = π [9y - 3y^2 + (1/3)y^3] |[0,pi/4]
V = π [(9(pi/4)) - 3((pi/4)^2) + (1/3)((pi/4)^3)]
V = (27/4)π - (9/16)π + (1/48)π
V = (105/48)π
Therefore, the volume V obtained by rotating the region bounded by the curves y = 3 sin x, y = 3 cos x, 0 ≤ x ≤ (pi/4) about y = 3 is (105/48)π.
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Explain how two samples can have the same mean but different standard deviations. Draw a bar graph that shows the two samples, their means, and standard deviations as error bars. PLEASE draw out the graph with the information written.
Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.
This can result in the same mean value for both samples, but different levels of variability.
Here's an example bar graph to illustrate this concept:
Sample 1 Sample 2
╭────────────────╮ ╭────────────────╮
│ Mean │ │ Mean │
├────────────────┤ ├────────────────┤
│ │ │ ╭─╮ │
│ │ │ │ │ │
│ │ │ │ │ │
│ │ │ ╰─╯ │
│ o o o │ │ o o o o o o │
│ │ │ │
│ │ │ │
│ │ │ │
╰────────────────╯ ╰────────────────╯
Std. Dev. Std. Dev.
In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.
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please help will mark brainliest
Answer:
see below
Step-by-step explanation:
2* (4*8) = (2*4) * 8
This is the associative property of multiplication
use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3
Answer:
(1-x2)× (2-3x)2
(1-x2) ×(8-36x+54x2-27x3)
8-36x+54x2-27x3-8x2+36x3-54x4+27x5
8-36x+46x2+9x3-54x4+27x5
Answer: 27x5-54x4+9x3+46x2-36x+8
Step-by-step explanation:
step 1- expand the expression
step 2- remove the parentheses
step 3- collect like terms
step 4- reorder the terms
EMERGENCY
Rectangular prism with base of 4 cm by 3 cm and a height of 5 cm. Square pyramid with a base of 4 cm by 3 cm and a height of 5 cm.
What is the volume of the prism?
What is the volume of the pyramid?
Answer: A = 15cm squared
Step-by-step explanation:
I think :)
Given that the base of the prism is 4 cm by 3 cm and the height is 5 cm, the volume can be calculated as:
The volume of the prism = (length x width x height)
By applying the given values:
Volume of prism = 4 cm x 3 cm x 5 cm
The volume of the prism = 60 cubic cm
That implies the volume of the rectangular prism is 60 cubic cm.
We know that the pyramid's base measures 4 by 3 cm and its height is 5 cm, the base's area may be calculated as follows:
Area of base = length x width
Area of base = 4 cm x 3 cm
Area of base = 12 square cm
The volume of the pyramid can now be calculated as:
Volume of pyramid = (area of base x height) / 3
Volume of pyramid = (12 square cm x 5 cm) / 3
The volume of the pyramid = 20 cubic cm
Therefore, the volume of the square pyramid is 20 cubic cm.
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12x - 2/3 = 83 1/3
12x=?
x=?
Answer:
12x = 84
x = 7
Step-by-step explanation:
12x = 83 1/3 + 2/3
12x = 84
x = 84/12
x = 7
Hope that helps!
Math lib equations of circles
The equation of the circle passing through the point (-6, 3) having center at (5, - 4) is (x - 5)² + (y + 4)² = 170
The general equation of a circle with (h, k) representing the circle's center, and {r} represents the length of its radius is
(x – h)² + (y – k)² = r²
We can write the equation of the circle as -
(x – h)² + (y – k)² = r²
(x - 5)² + (y + 4)² = (11)² + (-7)²
(x - 5)² + (y + 4)² = 121 + 49
(x - 5)² + (y + 4)² = 170
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2x-√x(1-2x) =1
x+√4-x² =2
Answer:
or, 2x-x^2+2x^2=1
or,2x+x^2=1
or,x^2+2x-1=0
or,x^2+x+x-1=0
or,x(x+1)+1(x-1)=0
or,(x+1)(x-1)=0
therefore x=(-1,+1)
a cylindrical tank for refrigerant has an inside diameter of 14 inches and is 16 inches high. what is the volume of the tank in cubic inches?
The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.
The volume of a cylinder can be calculated using the formula:
\(\[ V = \pi r^2 h \]\)
where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.
In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:
\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)
Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.
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uta Software - Infinite Algebra 1 Using the Quadratic Formula Solve each equation with the quadratic formula.
1) m^2 - 5m - 14 = 0
The quadratic formula is a formula used to solve quadratic equations of the form ax^2 + bx + c = 0. It is defined as x = (-b ± sqrt(b^2 - 4ac)) / (2a).
Using the quadratic formula to solve the equation m^2 - 5m - 14 = 0, we get m = (5 ± sqrt(5^2 + 4(1)(14))) / (2(1)) = (5 ± 3) / 2, which gives us m = -2 or m = 7.
The quadratic formula is a useful tool for solving quadratic equations, which are equations that can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable. The quadratic formula is derived by completing the square on the general form of the quadratic equation.
Once we have the quadratic formula, we can use it to solve any quadratic equation by substituting the values of a, b, and c into the formula and simplifying it.
In this specific example, we are given the quadratic equation m^2 - 5m - 14 = 0. To solve this equation using the quadratic formula, we first identify the values of a, b, and c. Here, a = 1, b = -5, and c = -14. We then substitute these values into the quadratic formula and simplify to obtain the solutions, which are m = -2 or m = 7.
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a scientist is interested in studying rainfall. he records the amount of rain each day for a year. he then makes a histogram of the data. what part of the field of statistics has he performed?
The scientist that made histogram of the data of amount of rainfall he collected each day for a year to study rainfall has performed descriptive statistics.
Descriptive statistics involves organizing, summarizing, and presenting data in a way that makes it easy to understand. Histograms are a common tool used in descriptive statistics. They are used to visualize the distribution of a dataset, by showing the frequency of data points within different ranges or bins. In this case, the scientist has organized the data by showing the frequency of days with different amounts of rainfall over the course of a year.
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6 m 11m in area
10yrd 8yd in area
5in 7in in area
4cm 6cm 10cm in area
Please I need answers for all of them
two cards are drawn from a deck of 52 playing cards. the first card is not replace before the 2nd card is drawn. what is the probabilty of drawing a king and another king?
A. 3/676
B. 1/221
C. 1/169
D. 2/169
Answer:
1/221.
Step-by-step explanation:
Probability(first card is a King) = 4/52 = 1/13 (as there are 4 kings in the pack).
Now there are 51 cards left in the pack, 3 of which are Kings, so:
Probability(second card is a King) = 3/51 = 1/17.
These 2 events are independent so we multiply the probabilities:
Required probability =
1/13 * 1/17
= 1/221.
A farmer ha 30 boxe of egg. There are 6 egg in each box. What i the ratio for the number of egg in three boxe to the total number of egg?
The ratio for the number of egg in three boxes to the total number of egg is 1 : 10
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
We use the ratio formula while comparing the relationship between two numbers or quantities. The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b, which is read as 'a is to b'.
According to the question,
Total boxes of eggs a farmer have = 30 boxes of egg
Number of eggs in each box = 6
Total number of eggs in 3 boxes = 6 × 3
=> 18 eggs
Total number of eggs in 30 boxes = 30 × 6
=> 180 eggs
Ratio of number of egg in three boxes to the total number of egg = 18 : 180
=> 1 : 10 is the ratio
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help needed! please and thank uuu! no links please!
Answer:
(2x×3x)+(3x×-3)
Area=L×W
Blue rectangle = 2x×3x
Pink rectangle = 3x×-3
(2x×3x)+(3x×-3)
answerrrrrr plssss ill giveee brainliesttttt
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be_______. a) medium strength. b) low strength. c) high strength. d) 0
In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.
In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.
When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.
In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.
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There are 4 red balls, 6 white balls, and 3 green balls in a bag. If one ball is drawn from the bag at random, what is the probability that it is not white?
A 5
---
6
B. 6
----
13
C 1
----
7
D 7
---
13
Answer: D 7/13
Step-by-step explanation:
4+3=7
7+6=13
P(not white)=7/13
Answer:
See image
Step-by-step explanation:
Plato
Hudson bought snacks for his team's practice. he bought a bag of apples for $1.59 and a 10-pack of juice bottles. the total cost before tax was $7.39. write and solve an equation which can be used to determine xx, how much each bottle of juice cost
The cost of each bottle of juice will be $0.58.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Hudson bought snacks for his team's practice. he bought a bag of apples for $1.59 and a 10-pack of juice bottles. the total cost before tax was $7.39.
The expression will be formed as below:-
10x + 1.59 = 7.39
Here x is the cost of the juice bottle.
10x + 1.59 = 7.39
10x = 7.39 - 1.59
10x =5.8
x = 5.8/10 = $0.58
Therefore, the cost of each bottle of juice will be $0.58.
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This is the full question if you can please solve this it’s really important.
A machine cuts three circles of the same size from a rectangular sheet of
metal as shown.
Answer:
\(\huge\boxed{\sf 11.74\ in.\²}\)
Step-by-step explanation:
Area of Rectangle:
Length = 11.8 in.
Width = 3.6 in.
Area = Length * Width
Area = 11.8 * 3.6
Area = 42.48 in.²
Area of 3 circles:
Diameter = 3.6 in.
Radius = D/2 = 3.6/2 = 1.8 in.
\(\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2\)
Area of 3 circles = 3(10.18) = 30.5 in.²
Area of the figure when the 3 circles are cut:
= Area of the rectangle - Area of 3 circles
= 42.28 - 30.5
= 11.74 in.²
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Margery sells 100 TV top boxes to customers for $90 each. Margery estimates that 6% of the units will be returned for a full refund. Margery should debit sales returns for:
Margery should debit sales returns for $5,400. Margery sells 100 TV top boxes to customers for $90 each. Margery estimates that 6% of the units will be returned for a full refund. In order to determine what she should debit sales returns, we have to do the following calculations
Find out how many of the 100 TV top boxes Margery estimates will be returned 6% of 100 = (6 / 100) × 1006% of 100 = 6 Find the cost of 6 returned boxes Cost of 6 boxes = 6 × $90 The cost of the returned boxes should be debited from the sales. Therefore, Margery should debit sales returns for $5400. Margery sells 100 TV top boxes to customers for $90 each.
If Margery is a wholesaler, then it is possible that this $90 is the wholesale price for the TV top boxes and not the retail price. It is important to note this as wholesalers usually sell to retailers who then mark up the price to sell to customers. In addition, the total cost of the 100 boxes would then be $9,000.
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Find the volumeeeeeeee
Answer:
264 yd³
Step-by-step explanation:
The volume of a triangular pyramid can be found using the formula ...
V = 1/2LWH
where H is the height of the triangular base.
V = 1/2(8 yd)(11 yd)(6 yd)
V = 264 yd³ . . . . volume of the prism