Answer: The cost per pound for bananas is $1.5 per pound.
Step-by-step explanation:
To get this answer you will divide the cost by the amount of bananas you have.
6) 1,1,3,8,19, 41
a) 60
b) 81
c) 90
d) 101
Analogias
The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.
To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:
1 1 3 8 19 41
0 2 5 11 22
Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.
Let's check if the differences between consecutive terms are square numbers:
2 = 1²
5 = 2² + 1²
11 = 3² + 2²
22 = 4² + 3²
Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:
41 + 57 = 98
Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.
Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.
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Which expression is equivalent to (x^1/2 y^-1/4 z)^-2 ?
Answer:
\( {( {x}^{ \frac{1}{2} }. {y}^{ - \frac{1}{4} } .z) }^{ - 2} \\ = (x. {y}^{ - \frac{1}{2} } . {z}^{ - 2} )\)
Solve the radical equation, if possible.
Answer: C
Step-by-step explanation:
3x-3 ≥ 0 ==> x ≥ 1
3x+6 ≥ 0 ==> x ≥ -2
So: condition x ≥ 1
\(\sqrt{3x-3} +1=\sqrt{3x+6} \\\\\sqrt{3x+6} -\sqrt{3x-3} =1 \ squaring\\\\3x+6+3x-3-2\sqrt{(3x+6)(3x-3)} =1\\\\6x+2=2\sqrt{(3x+6)(3x-3)}\\\\\sqrt{(3x+6)(3x-3)}=3x+1\ squaring \\\\(3x+6)(3x-3)=(3x+1)^2\\\\9x^2+18x-9x-18=9x^2+6x-1\\\\3x=19\\\\x=\dfrac{19}{3} \\\\sol=\{\dfrac{19}{3}\}\\\\Answer\ C\\\)
(a) A company that makes crayons is trying to decide which colors to include in a promotional mini-box of crayons. The company can choose the mini-box colors from its collection of colors. How many mini-boxes are possible?
Complete Question
The complete question is shown on the first uploaded image
Answer:
The number of color are possible \(\left n} \atop }} \right. C _r = 1215450\)
Step-by-step explanation:
From the question we are told that
The number of colors is r = 4
The sample size n = 75
The number of color that are possible can be mathematically evaluated as
\(\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}\)
substituting values
\(\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}\)
\(\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}\)
\(\left n} \atop }} \right. C _r = \frac{75 *74 * 73* 72 * 71!}{ (71)! (4*3*2 *1)}\)
\(\left n} \atop }} \right. C _r = 1215450\)
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
Suppose you are flying a kite at the park on a windy day. You notice that the height of the kite, h, is
affected by the speed of the wind, w. You decide to measure the height of the kite at different wind
speeds to determine the relationship between the two variables. After some experimentation, you
measure the height of the kite at three different wind speeds: 10 mph, 15 mph, and 20 mph. You
measure the height of the kite to be 50 feet at 10 mph, 75 feet at 15 mph, and 100 feet at 20 mph.
Determine the equations that relate the height of the kite to the speed of the wind.
The equation that relates the height of the kite to the speed of the wind is: h = 5w.
What is slope?
In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.
To determine the relationship between the height of the kite and the speed of the wind, we can use linear regression to fit a line to the data points we have measured. The line will take the form y = mx + b, where y is the height of the kite, x is the speed of the wind, m is the slope of the line, and b is the y-intercept.
Using the three data points we have, we can calculate the slope of the line as follows:
m = (y2 - y1) / (x2 - x1)
= (75 - 50) / (15 - 10)
= 25/5
= 5
Therefore, the equation for the line is y = 5x + b. To find the value of b, we can use one of the data points.
For example, using the point (10, 50):
50 = 5(10) + b
b = 0
So the equation that relates the height of the kite to the speed of the wind is:
h = 5w
where h is the height of the kite in feet, and w is the speed of the wind in mph.
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g select which case each of the possible values will match. refer to cases by the provided numbers, i.e case 1, case 2, case 3, case 4, case 5
Value: 4; Case: Case 4
Case 4 matches the value 4, which is the number of days in a week.
Case 4 matches the value 4, which is the number of days in a week. This means that for any given week, there are always four days. To determine which case corresponds to which value, we must first understand the context of the cases. Case 1 is the number of sides on a square, Case 2 is the number of legs on a spider, Case 3 is the number of sides on a triangle, Case 4 is the number of days in a week, and Case 5 is the number of sides on a pentagon. By understanding the context of each case, we can easily determine which case each value matches. In this example, the value 4 matches Case 4, which is the number of days in a week.
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The demand of boxes of chocolates per week for a store is given by x^2 + p^2 = 2450 where p is the price in dollars and x is the quantity of boxes demanded. Find the rate of change of the quantity demanded when the price increases at a rate of $0.10 per week per box of chocolates at the point where the price is $7.
In linear equation, $-0.0143 is the rate of change of the quantity demanded when the price increases .
What in mathematics is a linear equation?
An mathematical equation with only a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
the demand function:
x² + p² = 2450
Differentiating both sides of the demand function with respect to time t using the chain rule, we get:
2x * dx/dt + 2p * dp/dt = 0
We also know that at the point where the price is $7, p = 7 and x satisfies:
x² + p² = 2450
Substituting p = 7 into the demand function, we get:
x² + 7² = 2450
x² = 2450 - 49x²
x = 49
substitute x = 49, p = 7, and dp/dt = $0.10 into the differentiated demand function and solve for dx/dp
2x * dx/dp + 2p * dp/dx = 0
2(49) * dx/dp + 2(7) * 0.10 = 0
98 dx/dp + 1.40 = 0
dx/dp = $-0.0143
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Find the area of this composite figure
Answer:
23.9425 (Round if needed)
Step-by-step explanation:
This is 2 half circles so you can find the area of a circle and divide it by 2.
First circle has a diameter of 6 cm
6/2=3 cm
So, circle has radius of 3.
Area of circle= 3.14(pi) radius^2
3.14 x 3^2= 28.26
28.26/2=14.13 cm
Area of first half circle= 14.13
Repeat that process for the second circle.
3.14 x 2.5^2=19.625
19.625/2=9.8125
14.13+9.8215=23.9425
Area=23.9425
A truck's position relative to a Carr's position is 60 feet. The car and the truck move in the same direction, but the car moves 5 feet per second faster for 8 seconds. What operation could be used to find the truck's relative position after 8 seconds?
In linear equation ,The truck's relative position with respect to the car is 100 feet
What is linear equation ?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.If the truck is moving at a seed "V" then its position after 8 seconds is going to be:
XT = V* t = V * 8 = 8 V
The car, which is initially 60 feet ahead of the truck and starts moving at 5 m/s faster than the truck, would have a speed given by: V + 5
And its position (relative to the truck's) would be:
XC = 60 + (V + 5) * t = 60 + (V + 5) * 8 = 60 + 40 + 8 V = 100ft + 8 V
then the position of the truck relative to that of the car would be given by the difference:
XT - XC = 8 V - (100 +8 V) = 8 V - 8 V - 100ft = -100 feet
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Which side measures will not make a triangle
With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.
a. 3, 4, 8 - will not make a triangle
3 + 4 = 7 > 8 = false
3 + 8 = 11 > 4 = true
4 + 8 = 12 > 3 = true
b. 7, 6, 12 - will make a triangle
7 + 6 = 13 > 12 = true
7 + 12 = 19 > 6 = true
6 + 12 = 18 > 7 = true
c. 5, 11, 13 - will make a triangle
5 + 11 = 16 > 13 = true
5 + 13 = 18 > 11 = true
11 + 13 = 24 > 5 = true
d. 4, 6, 12 - will not make a triangle
4 + 6 = 10 > 12 = false
4 + 12 = 16 > 6 = true
6 + 12 = 18 > 4 = true
e. 4, 6, 10 - will not make a triangle
4 + 6 = 10 > 10 = false
4 + 10 = 14 > 6 = true
6 + 10 = 16 > 4 = true
Hope this helps!
Jasmine wants to make more cleaning solution
Answer:
here
Step-by-step explanation:
Method 1 Method 1 of 3: Making Liquid Cleaners
Mix equal parts water and vinegar in a spray bottle. Use distilled white vinegar and, if possible, distilled or filtered water.
Add lemon juice to disinfect surfaces. Mix one part lemon juice, one part white vinegar and two parts water in a spray bottle.
Add dish soap for persistent stains on carpet. ...
Tackle tough stains and grime with undiluted vinegar. ...
The oblique pyramid has a square base.
An oblique pyramid has a square base with a base edge length of 2 centimeters. The vertical height of the pyramid is 3.75 centimeters.
What is the volume of the pyramid?
2.5 cm3
5 cm3
6 cm3
7.5 cm3
Answer:
5cm^3
Step-by-step explanation:
What is the total surface area
Answer:
Step-by-step explanation:
May someone please help me solve this and explain? thanks:)
Given:
Mean,
\(\mu=46\)Standard deviation,
\(\sigma=7\)To find: The indicated values
Explanation:
The values are calculated as follows,
\(\begin{gathered} \mu-3\sigma=46-3(7) \\ =46-21 \\ =25 \\ \mu-2\sigma=46-2(7) \\ =46-14 \\ =32 \\ \mu-\sigma=46-7 \\ =39 \\ \mu=46 \\ \mu+\sigma=46+7 \\ =53 \\ \mu+2\sigma=46+2(7) \\ =46+14 \\ =60 \\ \mu+3\sigma=46+3(7) \\ =46+21 \\ =67 \end{gathered}\)Final answer: The values are,
\(\begin{gathered} \mu-3\sigma=25 \\ \mu-2\sigma=32 \\ \mu-\sigma=39 \\ \mu=46 \\ \mu+\sigma=53 \\ \mu+2\sigma=60 \\ \mu+3\sigma=67 \end{gathered}\)For x + 5= 20, what could you do to both sides to find the value of x that will make the equation true?
15 is the value of x that will make the linear equation true .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
x + 5= 20
X = 20 - 5
x = 15
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A rectangular fish tank is 50 cm long, 40 cm wide, and 20 cm high. a) How many cubic centimeters of water will the tank hold? b) How many milliliters of water will the tank hold? c) How many liters of water will the tank hold?
Answer:
40 litres
Step-by-step explanation:
V = l x w x h
50 x 40 x 20 = 40000
40000 cm^3
1cm^3 = 1ml
40000 cm^3/ 1cm^3 = 40000ml
40000 x 10^-3 = 40 litres
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
I not understand this any help please answer and explain please
The length the line segment DF is 21 units
What is Similarity of Triangles?
Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.
Since, the question is incomplete I can only assume that the traingles are similar
So, by rule of similarity we can say that ED/BA = DF/AC
by this 15/5 = DF/7
This implies that the length of DF is 21 units
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Evaluate:........
\( \frac{3}{4} + \frac{5}{6} + \frac{7}{8} \)
Answer:
\( \large \rm \frac{3}{4} + \frac{5}{6} + \frac{7}{8} \)
LCM of 4,6 and 8=2×2×3×2=24Converting each of them into equivalent like fractions,\( \large \rm \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} \)
\( \large\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \)
\(\large \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} =\frac{59}{24}=2\frac{11}{24}\)
\( \dashrightarrow\dfrac{3}{4} + \dfrac{5}{6} + \dfrac{7}{8} \\ \\ \)
\( \\ \\ \)
\( \sf \dashrightarrow \dfrac{\frac{3 \times 24}{4} + \frac{5 \times 24}{6} + \frac{7 \times24}{8}} {24} \\ \\ \)
\( \\ \\ \)
\( \sf \dashrightarrow \dfrac{3 \times 6 +5 \times 4+ 7 \times 3} {24} \\ \\ \)
\( \\ \\ \)
\( \sf \dashrightarrow \dfrac{18 +20+ 21} {24} \\ \\ \)
\( \\ \\ \)
\( \sf \dashrightarrow \dfrac{18 +41} {24} \\ \\ \)
\( \\ \\ \)
\( \sf \dashrightarrow \dfrac{59} {24} \\ \\ \)
\( \\ \\ \)
\( \sf \dashrightarrow 2.4 \\ \\ \)
\( \\ \\ \)
Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
decrease 1.894 by 0.954
Answer: 0.94
Step-by-step explanation: This is the same as saying subtract 0.954 from 1.894.
1.894 - 0.954 = 0.94
10p + £1.45 + £1.00 + 15p +20p +50p +10p + +£1.50 + 70p + 20p + £1.00 + £1.00 + £2.75
I’m not bothered to work it out lol
Answer:
£10.65
Step-by-step explanation:
Just add all of thek together and you get to £10.65.
An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
∠︎3 is a complement of∠︎4, and m∠︎3=46(degrees). Find m∠︎4
why does it take more cubes with 1 3 unit side lengths to fill the prism than it does with cubes with 1 2 unit side lengths
Answer:
It takes 135 of the 1/3 unit cubes to fill the prism. How many cubes with 1/3 unit side lengths can fit in a cube with 1-unit side lengths? There are 27 cubes with 1/3 unit side lengths in 1 cubic unit
Answer:
Below.
Step-by-step explanation:
1x3 side lengths consists of 3 cubes. 1 by 2 side length consists of 2 cubes. 3 >2
5/9 - 1/2 (fractions) step by step please
Answer:
1/18
Step-by-step explanation:
5/9 × 2/2 == 10/18. 1/2 × 9/9 = 9/18.... 10/18 - 9/18 = 1/18.
A square has been divided into a equal-sized pieces. Four of the peices are shaded.
Answer:
it is now 1 whole
Step-by-step explanation:
What is the meaning of "The usual notation makes this identification transparent by writing every sequence (x1, x2, ..., xn) as a product or word x1x2· · · xn in the alphabet X"?
The statement refers to the way that symbols are represented in sequences, a common practice in formal language theory, by employing a notation that makes symbols a part of the sequence.
How is sequence notation and language related?In formal language theory, a language is often defined as a set of strings over an alphabet. By representing any alphabetic sequence of symbols as a single string using the notation outlined in the statement, we are able to recognise the language that comprises that sequence as a collection of strings. A subset of the language having all possible strings over the alphabet (a, b, and c) is the set of strings abc, which may be used to represent the language including the sequence (a, b, and c). So, this notation offers an easy approach to discuss languages and the sequences that make up such languages.
Hence, the statement relates the symbols and sequences.
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Graciela begins the month with $300 and is spending $20 per
week. Her brother Sergio begins the month with $150 and is saving $10 per week. Sergio wants to know when they will have the same amount of money.
W
Let represent the number of weeks since the beginning of the
month. Which equation represents this situation?
Answer:
300-20w=?
150+10w=?
Step-by-step explanation:
Answer:
Step-by-step explanation:
320