Answer: 14 ounces
Step-by-step explanation:
To find the mean, we add up all the values and divide by the number of values.
[tex]\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces[/tex]
Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
Please and this question ASAP. Multiply 31.5 percent times 600
Answer:
189
Step-by-step explanation:
To multiply 31.5 percent by 600, you need to convert the percentage to a decimal by dividing it by 100 and then multiply it by 600.
31.5 percent = 31.5/100 = 0.315
Multiplying 0.315 by 600 gives us:
0.315 * 600 = 189
Therefore, 31.5 percent of 600 is equal to 189.
Type the correct answer in the box.
Fill in the missing term in the equation.
(1 + 2)(2+1) + blank
= 5(2+i)
What is the quantity of goods and services that sellers are willing and able to sell known as?
The quantity of goods and services that sellers are willing and able to sell is known as the quantity supplied.
What is quantity supplied of goods by a seller?Quantity supplied is defined as the amount of goods and services that a supplier is able to produce and sell at a given market price.
The quantity supplied differs from the actual amount of supply as price changes influence how much supply producers actually put on the market.
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Need help with those 3 questions
The general form of the solutions of the recurrence relation is
[tex]a_n = (A + B n + C n^2 + D n^3) 1^n + (E + F n + G n^2) (-2)^n + (H + I n) 3^n + (J + K n) (-4)^n,[/tex]
We are given that;
Series=1, 1, 1, 1, -2, -2, -2, 3, 3, -4
Now,
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
If the characteristic equation has repeated roots, then the general solution is modified by multiplying each term by a polynomial in n whose degree is equal to the multiplicity of the root minus one. For example, if r is a root of multiplicity m, then the corresponding term in the general solution is
[tex]a_n = (A + B n + C n^2 + … + Z n^(m-1)) r^n,[/tex]
where A, B, C, …, Z are arbitrary constants.
In this question, the characteristic equation has roots 1, 1, 1, 1, -2, -2, -2, 3, 3, -4. The root 1 has multiplicity 4, the root -2 has multiplicity 3, and the roots 3 and -4 have multiplicity 2 each.
[tex]a_n = (A + B n + C n^2 + D n^3) 1^n + (E + F n + G n^2) (-2)^n + (H + I n) 3^n + (J + K n) (-4)^n,[/tex]
where A, B, C, D, E, F, G, H, I, J and K are arbitrary constants.
Therefore, by the equation answer will be [tex]a_n = (A + B n + C n^2 + D n^3) 1^n + (E + F n + G n^2) (-2)^n + (H + I n) 3^n + (J + K n) (-4)^n,[/tex]
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ery Test
What is the solution of this equation?
1
-3+
4
z = 1
Enter the correct answer.
The solution of this equation is z = 3.
We are given that;
1-3+4z = 1
Now,
To solve for z, we need to isolate it on one side of the equation. We can do this by following these steps:
Subtract −31
from both sides to eliminate it from the left side.
Multiply both sides by z to eliminate the fraction on the left side.
Divide both sides by 4 to isolate z on the left side.
Let’s see how this works:
−31+z4=1
−31+z4=1
z4=1+31
z4=34
4=4/3 z
z=3*4/4
z=4/4×3
z=3
Therefore, by the equation answer will be z = 3.
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For the athletic banquet one adult ticket cost $15.00 and one student ticket cost $10.00. One hundred forty tickets were sold for a total of $1600. How many students tickets were sold
Answer:160 students
Step-by-step explanation:
did I do it
(your answer needs to be more than 20 characters long)
dos aviones de parte de una ciudad a las 8 AM el primer avión quiso regresar a la ciudad 5 horas y el segundo avión regresa casa 3 horas en cuanto tiempo volverán a dentrar a la ciudad
Both planes will reach the city at the same time again at 11 PM.
How to deal with periodic events?Considering periodic events, they will repeat on the same day for the least common factor of the periods of each event.
The periods for this problem are given as follows:
5 hours.3 hours.As 5 and 3 are prime numbers, the least common factor is given as follows:
5 x 3 = 15.
15 hours after 8 AM is of 11 PM.
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Graph the line. y=3x-8
By connecting these points with a straight line, we can graph the line y = 3x - 8.
The line should have a positive slope, rising from left to right.
To graph the line y = 3x - 8, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this equation, m represents the slope of the line, and b represents the y-intercept.
Comparing the given equation with the slope-intercept form, we can see that the slope, m, is 3, and the y-intercept, b, is -8.
To plot the graph, we'll start by plotting the y-intercept, which is the point (0, -8)T.
his point represents where the line intersects the y-axis.
Next, we can use the slope to find additional points on the line. The slope of 3 means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 3.
Starting from the y-intercept (0, -8), we can move 1 unit to the right and 3 units up to reach the next point (1, -5).
We can continue this pattern to plot more points.
Using this information, we can plot multiple points and then connect them to form the line:
Point 1: (0, -8)
Point 2: (1, -5)
Point 3: (2, -2)
Point 4: (-1, -11)
Point 5: (-2, -14)
By connecting these points with a straight line, we can graph the line y = 3x - 8.
The line should have a positive slope, rising from left to right.
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7+(2x4)-8÷(12-6)x(6÷2)
Answer:
11
Step-by-step explanation:
Remember PEMDAS
7+(2x4)-8÷(12-6)x(6÷2)
7 + 8 - 8 : 6 × 3 =
7 + 8 - 8/6 × 3 =
7 + 8 - 4 =
11
Henry has $21.50 to ride the trolley around San Francisco this week. It will cost him $0.50 every time he rides. Identify the dependent variable and the independent variable in this scenario.
Dependent variable: Total cost of riding the trolley
Independent variable: Number of times Henry rides the trolley.
In this scenario, the dependent variable is the total cost of riding the trolley, and the independent variable is the number of times Henry rides the trolley.
The dependent variable, the total cost of riding the trolley, depends on the independent variable, which is the number of times Henry rides the trolley. As Henry rides the trolley multiple times, the total cost will vary based on the number of rides.
The independent variable, the number of times he rides, determines the value of the dependent variable, the total cost.
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Deigo wrote 6^4*8^3=48^7. explain what his mistake was.
The index forms are of different bases and thus cannot be multiplied and their exponents added.
How to determine the valueTo determine Deigo's mistake, we need to know index forms and their rules.
Index forms are defined as mathematical forms that are used in representing numbers or variables that are too large or too small in more convenient forms.
They are also called scientific notation or standard forms.
The rules of index forms are;
Subtract the exponents when like bases are dividedAdd the exponents when like bases are multipliedFrom the information given, we have;
6⁴ × 8³ = 48⁴⁷
They are not of like bases and thus cannot be multiplied
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Convert the angle pi/3 radians to degrees.
Answer:
60 degrees
Step-by-step explanation:
To convert radians to degrees, multiply by 180/pi
pi/3 * 180/pi = 180/3 = 60 degrees
Step-by-step explanation:
3 radians =
171.887 degrees
AreaData Transfer RateDigital StorageEnergyFrequencyFuel EconomyLengthMassPlane AnglePressureSpeedTemperatureTimeVolume
ArcsecondDegreeGradianMilliradianMinute of arcRadian
ArcsecondDegreeGradianMilliradianMinute of arcRadian
Formula
3rad × 180/π = 171.887°
I NEED YOUR HELP! PLEASE HELP! I WILL MARK YOU BRAINLIEST!!!!!!!!!!Andrea has 533.8 cm 3 of modeling clay. She plans to use 8.4 cm 3 to form a right pentagonal prism. She will also make a second prism that is a dialation of the first prism with a scale factor of 4. Does Andrea have enough modeling clay for both prisms? Determine the amount of clay that andrea has left over or is short.
If the height (h) of the prism is less than or equal to 0.978 cm, then Andrea has enough modeling clay for both prisms. If the height exceeds 0.978 cm, she will be short of modeling clay.
Let's calculate the volumes of both prisms:
Volume of the first prism: V1 = (8.4 cm²) × h
Volume of the second prism: V2 = (16 × 8.4 cm²)×(4h)
= 537.6 cm³ h
We know that Andrea has 533.8 cm³ of modeling clay.
To determine if she has enough clay for both prisms, we need to compare the total volume of the prisms to the amount of clay she has:
Total Volume = V1 + V2 = (8.4 cm²) × h + (537.6 cm³ × h)
Total Volume = (546 cm²) × h
Now we can set up the equation:
Total Volume ≤ Amount of Clay
(546 cm²) × h ≤ 533.8 cm³
Solving for h:
h ≤ 533.8 cm³ / (546 cm²)
h ≤ 0.978 cm
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What is the sign of -xy? A:Positive B:Negative or C:Zero
The sign of -xy cannot be determined without knowing the signs of x and y. It can be positive, negative, or zero.
The signs of x and y influence the sign of -xy. A positive result is produced when multiplying two numbers with the same sign (both positive or both negative), while a negative result is produced when multiplying two numbers with opposite signs (one positive and the other negative). Their product is 0 when either one or both of the values are zero.
Therefore, depending on the signs of x and y, the sign of -xy can be positive, negative, or zero.
-xy is negative if x and y are both positive.
-xy is positive if x and y are both negative.
Regardless of the sign of the other number, if either x or y is zero, then -xy is also zero.
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Which data set could be represented by
the box plot shown below?
H
0 2 4 6 8
Choose 1 answer:
A
Creating box plots
B
C
D
10 12 14 16 18 20
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
The given box plot represented by the data sets in option A and B.
From the given box plot, we have
Minimum value = 3
Maximum value = 18
First quartile (Q1) = 7
Third quartile (Q3) = 13
Median = 10
Option A:
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
Median = 12
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option B:
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Option C:
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option D:
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Therefore, the correct options are B and D.
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Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
A box plot uses a number line from 13 to 33 with tick marks every one-half unit. The box extends from 15 to 30.5 on the number line. A line in the box is at 21.5. The lines outside the box end at 14 and 32. The graph is titled Number of Points, and the line is labeled Points Scored in Basketball. What value does 75% of the data lie above? Find the value. Lower quartile (Q1) = 14 Lower quartile (Q1) = 15 Upper quartile (Q3) = 30.5 Upper quartile (Q3) = 32
Given statement solution is :- The quartile value above which 75% of the data lies is 31.625.
To find the value above which 75% of the data lies, you can determine the third quartile (Q3) of the data set. In this case, the upper quartile (Q3) is given as 30.5.
Since the data is represented on a number line with tick marks every one-half unit, we can divide the range between Q3 and the maximum value (32) into four equal parts. Each part represents 25% of the data.
To find the value that corresponds to 75% of the data lying above, we need to determine the value that is three-fourths of the way between Q3 and the maximum value.
First, calculate the range between Q3 and the maximum value: 32 - 30.5 = 1.5.
Next, divide the range by four to find the size of one-fourth of the range: 1.5 / 4 = 0.375.
Now, multiply the size of one-fourth of the range by three to find the size of three-fourths of the range: 0.375 * 3 = 1.125.
Finally, add the size of three-fourths of the range to Q3 to find the value above which 75% of the data lies: 30.5 + 1.125 = 31.625.
Therefore, the quartile value above which 75% of the data lies is 31.625.
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The expression that is equivalent to 6/q is
The expression that is equivalent to 6/q is 6q/q²
How to determine what the expression is equivalent toFrom the question, we have the following parameters that can be used in our computation:
6/q = ?/q²
Multiply both sides of the equation by q²
So, we have
q² * 6/q = ?/q² * q²
Evaluate the products on both sides of the equation
? = 6q
Hence, the expression that is equivalent to 6/q is 6q/q²
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Plot ΔABC on graph paper with points A(10,4), B(-1,1), and C(4,2). Reflect ΔABC by multiplying the x-coordinates of the vertices by −1. Then use the function (x,y)→(x−5,y+4) to translate the resulting triangle. Name the coordinates of the vertices of the result. Question 4 options:
These are the coordinates of the vertices of the transformed triangle.
Vertex A: (-15, 8)
Vertex B: (-4, 5)
Vertex C: (-9, 6)
To plot ΔABC and perform the given transformations, let's follow the steps:
Plot ΔABC:
Point A(10,4)
Point B(-1,1)
Point C(4,2)
Reflect ΔABC by multiplying the x-coordinates by -1:
Reflecting A: (-10,4)
Reflecting B: (1,1)
Reflecting C: (-4,2)
Translate the reflected triangle using the function (x,y) → (x-5, y+4):
Translating (-10,4): (-10-5, 4+4) = (-15, 8)
Translating (1,1): (1-5, 1+4) = (-4, 5)
Translating (-4,2): (-4-5, 2+4) = (-9, 6)
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Jim is participating in a 6-day cross-country biking challenge. He biked for 59, 52, 66, 45, and 68 miles on the first five days. How many
miles does he need to bike on the last day so that his average (mean) is 59 miles per day?
miles
I Don't Know
Submit
X
G
©2023 McGraw H LLC Al Rights Reserved. Terms of the 1 Privacy Center
DOU
Answer:295
Step-by-step explanati: 59 5 .
I need help with this homework It's 3 AM right now. I'm so tired
I will mark the first person to help me brainliest, they will also get 50 points
The missing parts of the hierarchy of the quadrilaterals is listed below
KiteRectangleSquareRhombusParallelogramQuadrilateralTrapezoidSquareWhat are the quadrilateralsA four-sided polygon is called a quadrilateral. A polygon having four sides is referred to as a four-sided polygon in general.
A geometric figure with two pairs of parallel sides. The quadrilateral shape known as a trapezoid (or trapezium in certain areas) can be restated in different words.
A quadrilateral having four angles measuring 90 degrees each and having opposite sides parallel is called a parallelogram.
Rhombus shape: This particular four-sided shape is distinguished by having every angle measuring 90 degrees.
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See text below
Hierarchy of a Quadrilateral Assignment
Fill in each of the missing parts of the hierarchy of the
quadrilaterals. Include the properties of each of the figures
In English classmates teacher gifts for horses each worth five points after three quizzes. She has the score for three and four. What does she need to get on the last quiz to have a mean score for
Answer:
5
She must therefore earn 5 points on the last test to achieve a mean score of 4.
Step-by-step explanation:
The sum of the data divided by the total number of data represents the mean, which is the average of a set of data.
you are dealt one card from a 52-card deck. find the probability that you are not dealt a two
Answer:
Step-by-step explanation:
48 out 52 cards are not a 2:
[tex]P(not 2)=\frac{48}{52} =\frac{12}{13}[/tex]
-) Aspirin has a half-life of 6 hours in the blood stream. If a person takes 625mg, how long will it take for there to be 150mg left in the bloodstream?
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
We have,
To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.
The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.
Let's calculate the number of half-lives required to reach 150mg:
Initial amount of aspirin = 625mg
Final amount of aspirin = 150mg
625mg / 150mg = 4.17
This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.
Since each half-life is 6 hours, we can calculate the total time it will take:
Total time = Number of half-lives * Half-life duration
Total time = 4.17 x 6 hours
Total time ≈ 25 hours and 1 minute
Therefore,
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
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Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
Answer:
area of rectangle+area of triangle= area of figure
6×5 + 1/2×4×6=30+24= 42
or
given figure is a trapezium
so we know are of trapezium= 1/2×sum of parallel sides×height
= 1/2×( 5+9)×6
=42
Simplify the rational expression
7x/14x^6
The simplified form of the rational expression [tex](7x)/(14x^6)[/tex] is [tex]1/(2x^6).[/tex]
To simplify the rational expression [tex](7x)/(14x^6)[/tex], we can begin by simplifying the numerator and denominator separately.
In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.
In the denominator, [tex]14x^6[/tex], we can see that both 14 and x^6 have a common factor of [tex]2x^6[/tex].
So, we can rewrite the denominator as
[tex]14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.[/tex]
Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:
[tex](7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)[/tex]
Therefore, the simplified form of the rational expression[tex](7x)/(14x^6)[/tex] is [tex]1/(2x^6).[/tex]
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Calculate the unshaded portion of the figure
Answer:
Approx 8.47 [tex]m^2[/tex]
Step-by-step explanation:
First, find the area of the entire figure. Which can be found by multiplying the two sides of the square by each other= [tex]6*6=36m^2[/tex]
Now, ignore the square and just focus on the pentagon and finding the area of that. The formula for the area of a pentagon is [tex]A=1/2Apothem*Perimeter[/tex]
In order to find the apothem, you can make a mini triangle and use trig (Tangent) to find the height (apothem) of the triangle. Then, you take the side length of the base of the pentagon which is 4 and then you multiply it by the number of sides (5) to get 20. Then, by plugging it into our formula, you use the apothem*10 (divided by 2) and you get the area, and then you just subtract that from 36.
What is the percentage is the discount of$38 and $95
The percentage discount between $38 and $95 is 150%.
How to compute the percentage discount?We shall follow these steps to estimate the percentage discount between $38 and $95:
First, find the difference between the original price and the discounted price.
Next, divide the result by the original price.
Finally, multiply the result by 100 to present it as a percentage.
Given:
Original price = $95
Discounted price = $38
Difference = $95 - $38 = $57.
Next, Difference / Original price * 100:
($57 / $38) * 100 ≈ 150%
Therefore, the percentage discount between $38 and $95 is 150%.
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