Answer: (x+3)2 + (y+5)2 =36
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28
Answer:
The answer is 14 hits!
Step-by-step explanation:
This is because of dividing 28 by 8: so you get 3.5. Use the 3.5 and times it by the amount of hits: which is 4. Then BOOM, you got yourself 14 hits!
A família Oliveira consiste no pai, na mãe e em alguns filhos. A idade média da família é de 18 anos. Sem contar com o pai, que tem 38 anos, a idade média familiar diminui para 14 anos. Quantos filhos tem a família Oliveira? a) 2 b) 3 c) 4 d) 5 e) 6
Answer: e) 6
Step-by-step explanation:
Let x be mother + children = 18
Father's age = 38
Average age of the family = 14
38 + 18x /( x + 1 )= 14
Opening the bracket
38 + 18x = 14x + 14
Collecting like terms
24 = 4x
x = 6
no of children in the family is 6.
Simplify the rational expression. State any restrictions on the variable.
Answer:
Step-by-step explanation:
The value of t must not be one that makes the denominator zero, hence must not be 8.
Suppose that 35% of all voters voted for a recall. Find the mean of the sampling distribution of the proportion of the 3150 people sampled in an exit poll who voted for the recall.
Answer:
0.35 is the mean of the sampling distribution of the proportion.
Step-by-step explanation:
We are given the following in the question:
Percentage of voters who voted for recall = 35%
[tex]p = 35\% = 0.35[/tex]
Sample size, n = 3150
We have to find the mean of the sampling distribution.
Formula for mean of sampling distribution:
[tex]\mu = p[/tex]
Putting values, we get,
[tex]\mu = 0.35[/tex]
Thus, 0.35 is the mean of the sampling distribution of people sampled in an exit poll who voted for the recall.
What is the change in elevation from 8,500 m to 3,400 m?
Should be 5,100 from the information that is given.
Answer: 5,100 meters
The monthly salary of workers in the public works department is $1,500, $3,000, $3,500, $3,500, $4,000, $4,500, $5,000, $6,000, $6,500, $6,500, and $9,000. Explain the impact of the outlier(s) on the measure of central tendency for this data set.
1.There is a minimal increase to the mean because there is a low outlier and a high outlier in the data set.
2.There is a minimal decrease to the mean because there is a low outlier and a high outlier in the data set.
3.There is a large increase to the mean because of the $9,000 outlier.
4.There is a large decrease to the mean because of the $1,500 outlier.
Answer:
(B) median because there is an outlier
Step-by-step explanation:
The given data is as follows:
{1, 4, 9, 4, 10, 8, 42}
We can see from the given data that 42 is a data point which differ greatly from the other data points, and from the definition of OUTLIER that is a data point that differ greatly from the trend expressed by the other values in the data set.
Thus, 42 is an outlier.
Now, We have to find the center for the given data set, thus we will use the median as the definition of median states that median is the middle value of the data set.
Therefore, the best measure to find the center of the given data will be median because there is an outlier 42 present in it.
Thus, option B is correct.
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Step-by-step explanation:
Simplify this power raised to a power: (54)4 1. Expand using four factors of 54: 54 ∙ 54 ∙ 54 ∙ 54 2. Apply the product of powers rule: 54+ 4+ 4+ 4 3. Simplify: 5x What is the value of x in the simplified power? x =
Answer:
x=16
Step-by-step explanation:
you add all the 4s from the second step and get a product of 16.
The question simplifies a power raised to a power, (5^4)^4. Whereby, the rule is to multiply the exponents. Therefore, x in our simplified expression 5^x, equals 16.
Explanation:Let's simplify this (power raised to a power): (54)4.
First, we recognize it as a case of exponents raised to another exponent, where the rule is: if you have an exponent raised to another exponent, you should multiply the exponents. In this case, it's 4 * 4.We multiply the exponents: 4 * 4 = 16So, the simplified form is: 516
Therefore, the value of x in the simplified power is 16.
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at a fall festival,the student council sold 149 drinks and collected $223.50. The total amount collected is proportional to the number of drinks sold. What is the constant of proportionality in terms of dollars per drink ?
Answer:
1 drink/$1.50
Step-by-step explanation:
you have to find the cost of each drink by dividing the money raised by the number of drinks sold
223.50/149=
1.50
Answer:
Step-by-step explanation:
Find the unit cost:
$223.50
------------------ = $1.50/drink
149 drinks
Then y = revenue from sales of drinks = ($1.50/drink)(number of drinks).
The constant of proportionality is $1.50/drink.
Translate this sentence into an equation.
72 is the sum of 20 and Chau's age.
Use the variable c to represent Chau's age.
Answer:
c+20=72
Step-by-step explanation:
Would you rather buy 18 eggs at this price 2/$8.00 or 18 eggs at this price? $.97 buy 2 get one free
Answer:
you should by 18 eggs at the second price.
Step-by-step explanation:
my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.
Answer:
Answer: you should by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.
Step-by-step explanation:
Answer: you should by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.
What is the first step in simplifying
3-b(7b+ 2) + 3b - (11 - b)?
-Combine all like terms.
-Simplify inside the parentheses.
-Distribute the -b and -1 to the terms in the parentheses.
-Subtract 3-b.
The first step in simplifying is to distribute the -b and -1 to the terms in the parentheses.
What is PEMDAS?The abbreviation PEMDAS stands for parentheses, exponents, multiply or divide, add or subtract, which stands for the sequence of operations in mathematics. To achieve the right result when an expression contains many operations, it's crucial to compute them in the correct sequence (exponents after the parenthesis, etc.).
Given equation 3-b(7b+ 2) + 3b - (11 - b). As we can see that in this equation there is nothing complicated inside the bracket to simplify. so we will jump to the next step which is to distribute the -b.
Hence, in equation 3-b(7b+ 2) + 3b - (11 - b) first step in simplifying is to distribute the -b and -1 to the terms in the parentheses.
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Gracie is making 2 batches of muffins for her school’s annual bake sale. If one batch of muffins requires 1 cups of flour, how many cups of flour does Gracie need to make 2 batches of muffins?
Gracie needs 2 cups of flour to make 2 batches of muffins as each batch requires 1 cup of flour.
Explanation:The subject of this question is Mathematics as it involves multiplication of fractions to find the total amount of flour needed. As the question states, Gracie is making 2 batches of muffins and each batch needs 1 cup of flour.
To find the total amount of flour, we simply multiply the number of batches by the amount of flour per batch. In this case, that's 2 (batches) * 1 (cup of flour per batch). Therefore, Gracie needs 2 cups of flour to make 2 batches of muffins.
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In the process of making muffins, if one batch requires 1 cup of flour, then two batches would require 2 cups of flour.
Explanation:The question is asking about how much flour Gracie requires to bake 2 batches of muffins when one batch requires 1 cup of flour. This is a question about proportionality. If one batch of muffins needs 1 cup of flour, then 2 batches of muffins will require 2 cups of flour. This is because the amount of flour Gracie needs is directly proportional to the number of batches she bakes.
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(a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.
(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.
Answer:
a) 0.71
b) 0.9863
Step-by-step explanation:
a. Given the mean prices of a house is $403,000 and the standard deviation is $278,000
-The probability the probability that the selected house is valued at less than $500,000 is obtained by summing the frequencies of prices below $500,000:
[tex]P(X<500,000)=P(X=0)+P(X=500)\\\\=0.34+0.37\\\\=0.71[/tex]
Hence, the probability of a house price below $500,000 is 0.71
b. -Let X be the mean price of a randomly selected house.
-Since the sample size 40 is greater than 30, we assume normal distribution.
-The probability can therefore be calculated as follows:
[tex]P(X<x)=P(z<\frac{\bar X-\mu}{\sigma/\sqrt{n}})\\\\P(X<500,000)=P(z<\frac{500-403}{278/\sqrt{40}})\\\\=P(z<2.2068)\\\\\\=0.9863[/tex]
Thus, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
I am pretty sure it's A but I can't risk it so someone plzz help. Its not really hard.
Answer:
It is A
Step-by-step explanation:
It will be undefined if something is divided by 0.
So if you divided 0/6, it will be 0. But if you did 6/00 it will not work because 0 is not a number.
Hey, I need help with the questions attached. This is homework i forgot i had so.. it is real helpful. Thank you.
Answer:
1)
80 = 2×2×2×2×5
2)
21 -- 11 -- 8 -- 40
21 -- 15 -- 24 -- 60
Step-by-step explanation:
80 = 2×2×2×2×5
Half Tuna white: 21
Half brown: 21
25% of 32
25/100 × 32 = 8
32-8 = 24
Total brown: (100-20)/2 = 40
Total white = 60
Cheese:
40 - 21 - 8 = 11
60 - 21 - 24 = 15
21 -- 11 -- 8 -- 40
21 -- 15 -- 24 -- 60
choosing a vowel from the word counting and a consonant from the word Prime then give the total number of outcomes
Answer:
9
Step-by-step explanation:
Total letters in word 'COUNTING'=8
Number of vowels in word 'COUNTING'=3(O,U,I)
Total letter in word 'PRIME'=5
Number of consonants in word 'PRIME'=3(P,R,M)
We have to find the total number of outcomes.
Number of choice for O=3(P,R,M)
Number of choice for U=3(P,R,M)
Number of choice for i=3(P,R,M)
Number of outcomes of choosing a vowel from the word 'COUNTING' and a consonant from the word 'PRIME'=3+3+3
Total number of outcome=9
The relationship between the distance run and the time for Amy can be represented by the equation Y equals 17.45X, where she ran Y meters in X seconds. which two equations could be used to represent the relationship for Brandon and Ruben
Question;
Assumption:
Let us assume Brandon's running speed is = 18.30 and
Ruben's running speed is = 16.50 and
Answer:
The two equations that can represent the relationship between the meters and second for Brandon and Ruben are;
Brandon → Y₁ = 18.3·X₁ and
Ruben → Y₂ = 16.5·X₂
Step-by-step explanation:
The equation is of the form
Y = 17.45·X
That is Amy ran Y meters in X seconds
Therefore we have
[tex]17.45 = \frac{Y}{X}[/tex] or the value 17.45 is the running speed of Amy
Therefore, where the running speed of Brandon is 18.30 and the running speed of Ruben is 16.50 we have
Y meters ran by Brandon in X seconds given by
Y₁ = 18.3·X₁ and
For Ruben we have Y meters ran in X seconds given by
Y₂ = 16.5·X₂.
Answer:
Brandon : Y = BX, where B is the speed (positive integer) and X is the time in seconds.
Ruben : Y = RX, where R is the speed (positive integer) and X is the time in seconds.
Step-by-step explanation:
For Amy, the relationship between the distance run and the time taken is represented by the equation Y equals 17.45X, where she ran Y meters in X seconds.
Therefore we have,
Y = 17.45X
Y/X = 17.45 m/s, where m/s is meter per second.
Let us assume that the speed for Brandon is represented by B and that of Ruben is represented by R.
For Brandon, we obtain Y/X = B m/s
Y = BX
For Ruben, we obtain Y/X = R m/s
Y = RX
High School Mathematics 5+3 pts
The relationship between the distance run and the time for Amy can be represented by the equation Y equals 17.45X, where she ran Y meters in X seconds.
PLEASE HELP!! WILL MARK BRAINLIEST!!!
A college food court surveyed 683 students to see how many drink soda, how many drink tea, and how many drink coffee.
The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.)
(a) How many of the students drink exactly two of the three drinks?
(b) How many of the students don’t drink tea?
(c) How many of the students drink neither coffee nor soda, but do drink tea?
Answer:
(a) 288 students
(b) 249 students
(c) 121 students
Step-by-step explanation:
(a) 39 + 124 + 125 = 288
(b) 81 + 39 + 52 + 77 = 249
Without access to the Venn diagram, it's not possible to provide specific numerical answers. However, guidance on reading the diagram to answer these type of questions is given.
Explanation:I apologize, but without the actual Venn diagram, I can't provide accurate numbers for your questions. However, I can guide you on how to read the diagram if you have it. To find the students who drink exactly two of the three drinks, you will sum the numbers in the intersections of the circles that exclusively represent two drinks. For students who don’t drink tea, count all the students who fall outside of the tea circle. Lastly, for students drinking only tea, refer to the number that lies exclusively within the tea circle and not within the circles representing coffee and soda.
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Interest.
Charlie invests $325 in an account that pays 8% simple interest for 15 years.
Use the simple interest formula, I =P rt, to answer the following questions,
How much interest will Charlie's initial investment eam over the 15-year period?
How much money does Charlie have after the 15 years?
Answer:
Interest: $390 | Total: $715
Step-by-step explanation:
To answer the first question, we can use the simple interest formula provided:
[tex]I=Prt[/tex]
P = initial balance
r = annual interest rate
t = time
First, change 8% into the decimal form:
8% -> [tex]\frac{8}{100}[/tex] -> 0.08
Now, plug in the values:
[tex]I=325(0.08)(15)[/tex]
[tex]I=390[/tex]
Charlie made $390 of interest. To find the total, just add that number to $325.
[tex]390+325=715[/tex]
Charlie's total money made was $715.
Final answer:
Charlie earns $390 in simple interest over 15 years. The total future amount, including the initial investment, is $715 after 15 years.
Explanation:
To determine how much interest Charlie's initial investment will earn over the 15-year period, we apply the simple interest formula, I = P rt, where I stands for interest, P is the principal amount, r is the rate of interest per year, and t is the time in years. Plugging in Charlie's investment details: I = $325(0.08)(15).
First, calculate the annual interest: $325 imes 0.08 = $26 per year. Then, multiply the annual interest by the number of years: $26 imes 15 = $390.
Therefore, the total simple interest earned over the 15-year period is $390.
To calculate the total future amount, add the interest earned to the initial investment: Total future amount = Principal amount + Interest = $325 + $390 = $715.
After 15 years, Charlie will have $715 in his account.
You are comparing phone plans. Q company charges a one time fee of $25 and then $3 per month. W company charges a one time fee of $60 and then $1 per month. How many months until the two companies have the same cost
Answer:
17 1/2 months or rounded up to 18
Step-by-step explanation:
so first you need to set up an equation,
lets do company Q first..
because the monthly fee is 3 bucks thats gonna be the number that goes hand in hand with x so lets put that down
Q - 3x
now we have to add our one time fee of 25 dollars
Q - 3x + 25 .. bam thats our first equation
lets do the same thing for our next company
W - x + 60
( because the fee is one dollar, theres no reason to put 1x, its not mathematically correct, so we just leave it as x )
so now we have to set up the equation together, and because we are trying to find when the two will meet and have an EQUAL cost we make them equal to each other
so
3x + 25 = x + 60
if you solve it...
2x + 25 = 60
2x + 35
x = 17.5
A circle with area \blue{81\pi}81πstart color #6495ed, 81, pi, end color #6495ed has a sector with a central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, end color #9d38bd. What is the area of the sector?
Answer:
27π
Step-by-step explanation:
trust me, it's right lol
Three moons are in the same circular orbit around a planet. The moons are ach 125,000 km from the surface of the planet, llocated at points a, b, and c. The planet is 15,000 km in diameter and angle abc= 90 degrees. How far is point a from point c?
Answer:
AC = 215,000 km
Step-by-step explanation:
I've attached a diagram that depicts this 3 moons and the planet in regards to their positions.
We need to find the distance AC as shown in the image.
We are given that AM and NC = 100,000 km
And diameter; MN = 15,000km
Thus,AC = MN + NC
AC = 15000 + 100,000 + 100000 = 215,000 km
Find the sum of the first 16 terms of the series 20+27+34+41+...
Answer:
this question is really easy
so 20 + 27 + 34 + 41 ........ and we have to find out the 16th term so...
your answer is = 132
I hope this would help you
thank u
Answer:
1272
Step-by-step explanation:
The series can be written as (20+7*0)+(20+7*1)+...+(20+7*n).
Therefore, the sum of the first 16 terms would be as follows:
20*16 + 7*0 + 7*1 + 7*2 +...+ 7*16 = 320 + 0 + 7 + 14 + 21 + ... + 112 = 320 + 952 =
= 1272
There are many ways to calculate the underlined bit, I'm just not showing it (on this occasion I just put it in my calculator).
A weather forecast during September says that it will likely rain two out of the next five days. If the weather does not change, how many days will it likely rain in the month of September (30 days)?
A. 2/30
B. 5/30
C. 12/30
D. 75/30
Answer:
C. 12/30
Step-by-step explanation: 2/5 for every 5 days and there are 30 days in September so there is already 2/5 so 5 days are already in place so add 2 to the 2/5 and 5 to the 2/5 on their corresponding numbers until the five reaches thirty then the 2 will reach 12. Happy to Help.
If KM is drawn on this quadrilateral, what will be its length?
18
45M
16 units
18 units
40 units
45 units
The length of KM on the quadrilateral would be 18 units .
Using the following Information from the quadrilateral;
The sides JM and KL are parallel , This means that :
KL||JM.The length of the diagonals of the quadrilateral would be the same .
JL = KM (diagonals of Isosceles trapezoid are equal)From the question ;
JL = 18
JL = KM = 18 (diagonals of isosceles trapezoid are equal)Then ;
KM = 18
Hence, the length of KM would be ; 18 units .
a)
What are the two features that make this shape a square?
Answer-
for a shape to be a square, you need to make sure that all size are equal. then you will need to see if the angels are all the same (they need to be 90 degrees). all the sides must be parallel with each other. that is what makes a shape a square. this doesn't fit will all quadrilateral shapes.
Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches. If the clay weighs 1.055 oz/in^3, how much does Lou's brick weigh, to the nearest ounce?
Answer:
The weight of the brick is 60 ounce to the nearest ounce
Step-by-step explanation:
In this question, we are asked to calculate the weigh of Lou’s brick given the dimensions of the shape of the brick and the weight of the clay.
To answer this question quite aptly, we need to know exactly the volume of the rectangular prism given the dimensions we have in the question.
To calculate this volume , we simply use the measurements we have to get it.
mathematically the volume of a rectangular prism is simply V = w * h * l
where w , h and l are width, height and length respectively.
now let’s calculate!
V = 3.5 * 2.25 * 8 = 63 inches^3
Now we need to know what the brick weigh in ounce. We already have the weight of the clay. now this is equal to the volume of the brick divided by the weight of the clay.
Mathematically this is = 63/1.055 = 59.72 ounce which is 60 ounce to the nearest ounce
Answer:
60 ounce
Step-by-step explanations:
The volume of a rectangular prism is length multiplied by width and the height.
And if the width is 3.5 inches
Length is 8 inches
Height of 2.25 inches
V = 2.25 × 8 × 3.5
= 63 in³
And since the clay weighs 1.055 oz/in³,the total weight of the clay brick will be derived by dividing the volume of the brick by its weight per in³
63/1.055
= 59.7 and to the nearest whole number = 60 ounce
The blueprints of a house show that a wall is 3.5 inches long. If the blueprints have a map scale of 1.5 inches = 3 feet, how long is the actual wall?
Step-by-step explanation:
Given the blueprints of a house show that a wall is 3.5 inches long.
Length of the wall = 3.5 inches
Mpa scale used in blue print is,
1.5 inches = 3 feet
Such that 1 inch = 2 feet
Length of the wall = 3.5 inches = 3.5 * 2 = 7 feet
The length of the actual wall = 7 feet
What percent of Coach passengers did not check bags
Answer:B is the Answer
Step-by-step explanation:
I need help asap :&/$/$/
Answer:
A
Step-by-step explanation:
The equation must equal 50 and the 4 should be added not multiplied