From his home, Reggie would have to walk due north to get to his friend Harry's house and
due east to get to his friend Albert's house. It is 1 mile from Reggie's house to Albert's house
and a straight-line distance of 5 miles from Harry's house to Albert's house. How far is
Reggie's house from Harry's house? If necessary, round to the nearest tenth.
Answer:
the distaance would be 4.9 miles
Step-by-step explanation:
You have to use pythagorean theorem. 5squared plus squared equals one squared. work this equation and you get 4.89 rounded its 4.9.
Question 8 of 10
The graph shows a production possibilities curve for a company. Which area
on the graph represents the amount of goods the company could actually
produce?
Product A
3
نا
oc
A
39
Product B
OA. The area at the far right of the graph
OB. The area outside the curved line
OC. The area inside the curved line
OD. The area at the very top of the graph
65
B
An area on the graph that represents the amount of goods the company could actually produce include the following: C. The area inside the curved line.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) is sometimes referred to as the production possibilities diagram or the production possibilities frontier (PPF) and it can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that represents the amount of goods which this company could actually produce is the area inside or within the curved line.
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Please help me with this
Answer:
30
Step-by-step explanation:
x+2x+3x=180
6x=180
x=30
Laura paid $12.16 for a 4.07-pound bag of shrimp at one store. The following week, she paid $14.99 for a 5.11-pound bag at another store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.
HELP PLEASE ASAP!!!!
Answer:
3
2.9
the 5.11 pound bag is a better buy
Step-by-step explanation:
What percentage of the total vote is needed to be the plurality winner? (1 point) a.The plurality winner must have 50% of the vote. b.The plurality winner must have over 50% of the vote. c.The plurality winner must have over 25% of the vote. d.The plurality winner does not need to achieve a set percentage of the vote.
The correct answer is d. The plurality winner does not need to achieve a set percentage of the vote.
In a plurality voting system, the candidate who receives the most votes is declared the winner, regardless of whether they have a majority or a specific percentage of the total vote. Unlike in a majority voting system where a candidate needs to secure over 50% of the vote to win, a plurality winner only needs to have the highest number of votes among all the candidates. This means that even if the plurality winner receives less than 50% or even 25% of the total vote, they can still emerge as the winner as long as they have more votes than any other candidate. The plurality winner's victory is determined by having the highest vote count, without a specific threshold or percentage requirement.
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if you circle a phrase in your notes and draw an arrow to related material on the same page, you are drawing a(n)
If you circle a phrase in your notes and draw an arrow to related material on the same page, you are drawing a connecting annotation or a linking arrow.
If you circle a phrase in your notes and draw an arrow to related material on the same page, you are creating a connecting annotation or a linking arrow. This technique helps establish a visual connection between the circled phrase and additional relevant information nearby.
It serves to highlight the relationship between different parts of your notes, allowing for easier comprehension and recall. By visually linking related content, you can quickly navigate and understand the connections within your notes, aiding in better organization and synthesis of information.
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five hamburgers cost 5.25 at this rate what is the cost of 8 hamburgers
Answer: 8.4
Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4
0.22y × 0.06 =
please help me
Answer:
0.0132y :DDDDDDDDDD
a window is in the form of a rectangle surmounted by a semicircle. find the dimensions when the perimenter is 12
A window is in the form of a rectangle surmounted by a semicircle. We have to find the dimensions when the perimeter is 12.Given: A rectangle surmounted by a semicircle. To Find: The dimensions when the perimeter is 12.Solution:Let AB be the length and BC be the breadth of the rectangle.
The diameter of the semicircle is equal to the breadth of the rectangle BC.So, radius of the semicircle = BC/2 = d/2 (Let's assume)Perimeter of the window = perimeter of the rectangle + circumference of semicircle Given perimeter
\(= 12So, 2 (AB + BC) + πd = 12\)We know that π =
22/7Substitute d = 2BC in the above equation, we get, 2 (AB + BC) + 22/7 × 2BC = 12⇒ 2 (AB + BC) + 44/7 × BC = 12⇒ 2AB + 2BC + 44/7 × BC = 12⇒ 14/7 AB + 16/7 BC = 6⇒ 2 AB + 2.2857 BC =
6Let's assume AB = \(x, then2x + 2.2857 BC = 6 ⇒ BC = (6 - 2x)/2.2857\)
Now, Substitute this value of BC in equation (1)2(x + (6 - 2x)/2.2857) + 22/7 (6 - 2x)/2 = 12Simplify this equation to get the value of x.x = 0.965 cmSo, AB = 0.965 cmBC = 1.786 cm Therefore, the dimensions of the rectangle surmounted by the semicircle are 0.965 cm and 1.786 cm when the perimeter is 12.
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In a talent show, the ratio of female performers to male performers is 6:2. If there are 80 performers in total, how many more male performers are there than female performers?
Answer:
There are 40 more females than males.
In total there would be 60 females, and 20 males.
Step-by-step explanation:
I can find the missing leg length
?
7
12.21
— — — — — — — — — —
We can find the length of the missing side of the right triangle using the Pythagorean Theorem.
As you can see in the attached image, we are looking for b or the longer side/leg of the right triangle. (See the attached image for the right triangle.)
Using the formula c² = a² + b².
we let c=12.21 and a=7
\( c {}^{2} = {a}^{2} + {b}^{2} \)\( {12.21}^{2} = {7}^{2} + {b}^{2} \)\( {149.0841} = {7}^{2} + {b}^{2} \)By transposition/adding the additive inverse of 49.
\( {b}^{2} = {149.0841} - 49\)The difference of 149.0841 - 49 is 100.084
\( {b}^{2} = {100.084}\)\( {b}= \sqrt{100.084 \: } \)\( b = 10.0042\)\( b \approx \underline{ \boxed{ \blue{ 10}}}\)Hence, the measures of the longer side/leg is 10 units.
— — — — — — — — — —
We can also find the longer leg of the right triangle using the formula
\( \underline{ \boxed{b = \sqrt{ c²-a² \: }}}\)\( \sf \: \bold{ Given: } \: c = 12.21 \: ; \: a=7 \: ; \: b= \: \red ?\)Substitute the given values of a and c to the given formula above, to get the unknown value (b).
\(b = \sqrt{ c²-a² \: }\)\(b = \sqrt{ 12.21²-7² \: }\)\(b = 10.0042\)\(b \approx \orange{ 10}\)_______________∞_______________
how do you find the z score if you are given the p-value?
Answer:
la caca eres tu
Step-by-step explanation:
Gracias pinche vaca
The endpoints of CD¯¯¯¯¯¯¯¯
C
D
¯
are C(3,−5)
C
(
3
,
−
5
)
and D(7, 9)
D
(
7
,
9
)
.
The length of segment CD is 14.6 units
How to determine the length of CD?The points are given as:
C = (3, -5) and
D = (7,9).
The distance is calculated using
d = √(x2 - x1)^2 + (y2 - y1)^2
This gives
d = √(7 - 3)^2 + (9 + 5)^2
Evaluate
d = 14.6
Hence, the length of segment CD is 14.6
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the z-value for a standard normal distribution ________. a. is always positive b. is always equal to zero c. can be either positive or negative d. is always equal to the value of the population mean
The correct answer is:
c. The z-value for a standard normal distribution can be either positive or negative.
The z-value, also known as the standard score, measures the distance between a data point and the mean of its distribution in units of standard deviation. It is calculated by subtracting the population mean from the data point and then dividing the result by the standard deviation.
Since the mean of a standard normal distribution is zero, the z-value simply represents the number of standard deviations a data point is from the mean. As a result, the z-value can be either positive or negative, depending on whether the data point is above or below the mean, respectively.
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please help me , i will give a lot of points
Answer:
no pic
STEP-BY-STEP-EXPLANATION
How many times does the graph of the function below intersect or touch the
Xaxis?
y=-3+ x+ 4
Answer:
Once.
Step-by-step explanation:
When the equation is graphed the x-axis is intersected/touched only once.
It crosses the x-axis at coordinates (-1 , 0)
When graphed it looks like this:
Answer the question on the screenshot PLEASEEEEEEEE
The numeric values for the given function are as follows:
a) f(2.7) = 10.
b) f(1.9) = 7.
c) f(-3.6) = -14.4.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the function is defined as follows:
f(x) = int(4x).
The function int(x) has the output as the largest integer that is less or equal to the value of x.
Hence the numeric values are given by:
f(2.7) = int(4 x 2.7) = int(10.8) = 10.f(1.9) = int(4 x 1.9) = int(7.6) = 7.f(-3.6) = int(4 x -3.6) = int(-14.4) = -15.More can be learned about the numeric values of a function at brainly.com/question/28367050
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Johnny is thinking of a number. The larger number is 30 more than a smaller number. The larger number is 50. What is the smaller number?
Answer:
20
Step-by-step explanation:
let be a dodecagon (12-gon). three frogs initially sit at and. at the end of each minute, simultaneously, each of the three frogs jumps to one of the two vertices adjacent to its current position, chosen randomly and independently with both choices being equally likely. all three frogs stop jumping as soon as two frogs arrive at the same vertex at the same time. what is the expected number of minutes until the frogs stop jumping?
The expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.
Let's consider the probability that all three frogs are at different vertices at a given time. The first frog can land on any of the 12 vertices, the second frog can land on either of the two adjacent vertices to the first frog, and the third frog can land on either of the two adjacent vertices to the second frog that are not adjacent to the first frog. Therefore, the probability that all three frogs are at different vertices is:
\(P(all $ different) = 12 * 2/11 * 2/10 = 24/55\)
If all three frogs are at different vertices, then none of them can jump to the other two vertices adjacent to their current position, otherwise they will meet. Therefore, the next time they can meet is after the first jump of the frog that is alone, and this will happen with probability 1/3.
If two frogs meet, the expected number of minutes until the third frog joins them is just the expected number of minutes until two frogs meet, which is the same as the expected number of minutes until the frogs stop jumping. Therefore, it suffices to compute the expected number of minutes until the frogs jump to the same vertex for the first time, given that all three frogs are at different vertices.
Let T be the expected number of minutes until the frogs jump to the same vertex for the first time. Conditioning on the first jump, we have:
\(T = 1/3 * 1 + 2/3 * (T + 1)\)
The first term corresponds to the case where the frog that is alone jumps to one of the two vertices adjacent to one of the other frogs and they meet. The second term corresponds to the case where the frog that is alone jumps to the vertex adjacent to the other frog and the third frog jumps to the same vertex with probability 1/2, or they jump to different vertices with probability 1/2 and we are back to the starting position, but with one less frog being alone.
Solving for T, we get:
T = 4
Therefore, the expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.
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In the diagram below, AB is parallel to CD. What is the value of x?
72
А
B
D
O 72
O 18
62
108
Answer:
x = 72
Step-by-step explanation:
angles x and 72° are corresponding angles and are congruent , then
x = 72
The value of x is 72 degree.
Option A is correct.
What is Parallel line?The basic qualities listed below make it simple to identify parallel lines.
Parallel lines are defined as straight lines that are always the same distance apart.Parallel lines never intersect, regardless of how far they are extended in either direction.We have the parallel line AB || CD.
As, we know the parallel line have following property
Corresponding Angle are EqualAlternate Interior Angle are EqualAlternate Exterior Angle are EqualNow, from the figure using Corresponding angle
x = 72 degree
Thus, the required angle is 72 degree.
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a landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three sides by a metal fence costing $10/ft. if the area of the garden is 8 square feet, find the dimensions of the garden that minimize the cost.
the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.Let the length of the rectangular garden be L and the width be W. Then, the area of the garden is given as L x W = 8.
The cost C of enclosing the garden is given by:
C = 20L + 10(2L + W)
Substituting the value of W from the area equation, we get:
C = 20L + 10(2L + 8/L)
Differentiating C with respect to L and equating it to zero to find the minimum cost:
dC/dL = 20 + 20 - 80/L^2 = 0
Solving for L, we get L = 2 ft
Substituting L = 2 in the area equation, we get:
W = 4 ft
Therefore, the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.
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Below is a scale drawing of a ballroom that mika is designing. a rectangle with length 11 inches and width 4 inches. using the scale 1 in. : 4 m, mika calculated the length, or the longer side of the ballroom, to be 44 m. she decides to change the scale to 1 in. : 7 m. what is the length of the new ballroom? 16 m 28 m 44 m 77 m
The length of the new ballroom (in reality, the ballroom is designed according to scale drawing) is given by: Option D: 77 m
How are scale drawings formed?For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
\(\rm 1\: ft : \dfrac{s}{k}\: in.\)
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
We're given that:
The scale that Mika uses: 1 in: 4m (1 inch in drawing is 4 metre in real world).The scale drawing has a rectangle of 11 in to 4 inchThe longer side of the ballroom is 44 mShe changes the scale to: 1 in: 7mLength of new ballroom (the longer length) is to be found.Since in the drawing, 11 inches was representing 44 m length of the ballroom when 1 inch: 4 metre scale was being used (as 11×4=44), so when the scale is 1 inch: 7 meters, then the new length of the ballroom in reality would be: 7 metre 11 times (since there is 11 inches as length of ballroom in the scale drawing)
This evaluates to \(7 \times 11 = 77 \: \rm metre\)
Thus, the length of the new ballroom (in reality, the ballroom is designed according to scale drawing) is given by: Option D: 77 m
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The length or the longer side of the new ballroom is 77m.
Dimensions of the model = 11 inches*4 inches
1 inch = 4m
What is a scale factor?A scale factor is a factor by which the dimension of an object is enlarged.
So, the dimensions of the ballroom will be:
Length = 11*4 = 44m
Width = 4*4 =16m
But, Mika decides to change the scale to 1 inch: 7metres
So, the length of the new ballroom = 11*7 =77m
So, the length of the new ballroom =77m
Hence, the length of the new ballroom is 77m.
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Jenny is saving money to buy a bike that costs $164. She has $52 and will save an additional $8 each week. In how many weeks will she have enough money to buy the bike?
Answer:
14
Step-by-step explanation:
164 = 8x + 52
Subtract 52 from both sides
112 = 8x
Divide both sides by 8
14 = x
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis.
y = x, y = 0, x=1
To find the volume generated by rotating the region bounded by the curves y = x, y = 0, and x = 1 about the y-axis, we can use the method of cylindrical shells.
First, let's consider a vertical strip of width Δy and height y within the region. This strip can be thought of as a cylindrical shell.
The radius of the cylindrical shell is given by the distance from the y-axis to the curve y = x, which is simply x. Since we are rotating about the y-axis, the radius is y.
The height of the cylindrical shell is Δy, which is the width of the strip.
The circumference of the cylindrical shell is given by 2πy, and the volume of the shell is the product of the circumference, height, and thickness.
Therefore, the volume of the entire solid can be obtained by integrating the volume of all the cylindrical shells over the range of y-values from 0 to 1.
V = ∫[0,1] 2πy Δy
Evaluating the integral gives us the volume of the solid generated by rotating the region about the y-axis.
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Which equation describes a line passing through (-3,1) that is parallel to y=4x+1?
A) y= -0.25x + 0.25
B) y= 4x - 11
C) y= -0.25x + 1.75
D) y= 4x + 13
Answer:
D. y= 4x + 13
Step-by-step explanation:
the slope would have to be 4 to be parallel
so plug the points in
1=4(-3) + b
1= -12 +b
13 = b
what is the value of x? im stuck on this question
Angles (2x + 20)° and (3x + 10)° are supplementary, that is,
(2x + 20) + (3x + 10) = 180
(2x + 3x) + (20 + 10) = 180
5x + 30 = 180
5x = 180 - 30
x = 150/5
x = 30
After my salary was increased by $16\%,$ it was $\$52{,}200$. What was my salary before the increase
%, a relative figure signifying hundredths of any amount. Before the raise, I was making $45,000.
What is percentage?A percentage that represents a tenth of a quantity. In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).
Calculating a percentage involves dividing an item by its sum and multiplying the result by 100.
Considering the query
It was $52,200 after a 16% raise in my pay.
In light of the conditions stated, come up with
\($=\frac{52200}{1+16 \%}$$=\frac{52200}{1+0.16}$$=\frac{52200}{1.16}$$=\frac{5220000}{116}$\)
= $45000
Before the raise, I was making $45,000.
Therefore, the answer is $45,000.
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A ball is dropped from a height of 10 feet. The height of the ball after it bounces is a function of the number of times it has bounced and can be
modeled by the function (b)= 10(0.7). The ball stops bouncing after bounces.
Which statement is true about the domain of h(b) ?
Statement C claims that the domain of h(t) includes all real numbers.
In this context, it is reasonable to assume that time can be any real number since it can vary continuously.
Therefore, Statement C is true.
In the given scenario, the height of a ball thrown vertically upward from the ground is represented by the function\(h(t) = 100t - 16t^2,\)
where h(t) represents the height in feet and t represents the time in seconds.
To determine the domain of h(t) in this context, we need to consider the restrictions on the input variable t that make sense within the problem's context.
Statement A claims that the domain of h(t) includes all positive whole numbers.
However, in this context, using positive whole numbers for time would imply that the ball is thrown at discrete moments in time, which may not be the case.
Therefore, Statement A is not true.
Statement B suggests that the domain of h(t) includes all positive integers.
Similar to Statement A, using positive integers for time implies discrete moments, which may not be appropriate for a continuous measurement like time.
Therefore, Statement B is also not true.
Statement C claims that the domain of h(t) includes all real numbers.
In this context, it is reasonable to assume that time can be any real number since it can vary continuously.
Therefore, Statement C is true.
Statement D states that the domain of h(t) includes all non-negative numbers. Since time cannot be negative in this context, this statement is also true.
In conclusion, both Statements C and D are true about the domain of h(t) in this context.
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The complete question may be like:
Question: A ball is thrown vertically upward from the ground. The height of the ball after t seconds is given by the function h(t) = 100t - 16t^2, where h(t) represents the height in feet. Determine which statement is true about the domain of h(t) in this context.
A) The domain of h(t) includes all positive whole numbers.
B) The domain of h(t) includes all positive integers.
C) The domain of h(t) includes all real numbers.
D) The domain of h(t) includes all non-negative numbers.
Mr. Thompson runs his own printing and bookbinding business. He suspects that the machine isn't putting enough glue into the book spines and decides to inspect his most recent order of 70 textbooks to test his theory. He numbers them 01-70 and, using the random digit table printed below, selects a simple random sample of 5 books to check. Which books are in the sample? 85063 55810 10470 08029 30025 Choose 1 answer: 06, 35, 58, 10, 10 06, 35, 58, 10,47 85,06, 35,58, 10 50, 63, 55, 10, 04
A simple random sample involves taking a proportion from a population to represent the complete data set.
The books in the sample are: (b) 06 35 58 10 47
How to determine the books in the sampleThe numbers are given as:
85063 55810 10470 08029 30025
Rewrite the numbers as 2-digits as follows:
85 06 3 5 58 10 10 47 0 0 80 29 30 02 5
So, we have:
85 06 35 58 10 10 47 00 80 29 30 02 5
Remove numbers outside the range 01 - 70, the single digits and the repeated numbers
06 35 58 10 47 29 30 02
Take the first five samples
06 35 58 10 47
Hence, the books in the sample are: 06 35 58 10 47
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6x + 9= 4x + 25 solve for x pls
Answer:
x=8
Step-by-step explanation:
6x+9=4x+25
so subtract 9 from both sides
6x=4x+16
subtract 4x from both sides
2x=16
divide both sides by 2
x=8
Answer:
x=8
Step by Step:
combine like terms
divide both sides