Answer:
A ≈ 1.72 cm²
Step-by-step explanation:
(a). Area of the rectangle: 4 × 2 = 8 cm²
Area of the circles: 2πr² ≈ 6.28 cm²
r = 1 cm
(b). A of the six yellow sections: 8 - 6.28 ≈ 1.72 cm²
A nurse has an annual income of $52, 175. The income tax that she must pay is 9%. How much does she have to pay in taxes in dollars and cents?
ответ на картинке !!!!
when the least common multiple of two positive integers is divided by their greatest common divisor, the result is 33. if one integer is 45, what is the smallest possible value of the other integer?
The smallest value of the other number will be 3 ×5× 11 =165
In the given statement is :
When the least common multiple of two positive integers is divided by their greatest common divisor, the result is 33. If one integer is 45.
To find what is the smallest possible value of the other integer
Now, According to the question
One of the numbers 3 ×3× 5 = 45
The lowest common multiple has to be a multiple of 45 i.e.,
3 ×3× 5 something when LCM is divided by the greatest common divisor
then the answer is 33 = 3 x 11 .
So the other number will have to be a multiple of 11
3 ×3× 5× 11 × ?/ some factor of 4 = 33
(3 ×5) ×3× 11 × 1 /3 × 5 = 33
So if the greatest common divisor is 3× 5 the given number is 3 ×3× 5
Hence, The smallest value of the other number will be 3 ×5× 11 =165
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Evalúa 13-0{,}75w+8x13−0,75w+8x13, minus, 0, comma, 75, w, plus, 8, x cuando w=12w=12w, equals, 12 y x=\dfrac12x= 2 1 x, equals, start fraction, 1, divided by, 2, end fraction.
Answer:
\(13- 0.75 * (12) + 8 * (\frac{1}{2} ) = 13-9+4\\\\13-5=8\)
Therefore, the result after evaluating the expression is: 8Step-by-step explanation:
Evaluate 13-0.75w+8x13−0.75w+8x13, minus, 0, point, 75, w, plus, 8, x when w=12w=12w, equals, 12 and x=\dfrac12x= 2 1 x, equals, start fraction, 1, divided by, 2, end fraction.
For this case we have the following expression:
\(13-0.75w + 8x\)
Evaluate for the following values:
w = 12
x = 1/2
We Substituting the values we have:
\(13- 0.75 * (12) + 8 * (\frac{1}{2} ) = 13-9+4\\\\13-5=8\)
Therefore, the result after evaluating the expression is: 8is there a relationship between attendance at religious services and alcohol consumption? a random sample of 1000 adults was asked whether they regularly attend religious services and whether they drink alcohol daily
The relationship of those who attend religious services regularly are less likely to consume alcohol regularly.
Yes, there can be a relationship between attendance at religious services and alcohol consumption. In the given random sample of 1000 adults, both their attendance at religious services and daily alcohol consumption were recorded.
To analyze the relationship, you can follow these steps:
1. Organize the data: Create a contingency table that displays the frequency of each combination of attendance at religious services and alcohol consumption.
2. Calculate percentages: Determine the percentage of adults who attend religious services and drink alcohol daily, as well as the percentages for the other categories (e.g., attend services and don't drink daily, don't attend services and drink daily, etc.).
3. Identify trends or patterns: Compare the percentages to see if there is a relationship between attendance at religious services and daily alcohol consumption.
For example,
If the percentage of adults who attend religious services and drink daily is significantly lower than the percentage of those who don't attend services and drink daily, this suggests a relationship.
4. Statistical testing: Perform a chi-square test to determine if the observed relationship is statistically significant.
This test compares the observed frequencies in the contingency table to the frequencies that would be expected if there was no relationship between attendance at religious services and alcohol consumption.
5. Interpret the results: If the chi-square test shows that the relationship is statistically significant, this supports the hypothesis that there is a relationship between attendance at religious services and alcohol consumption in the sample of 1000 adults.
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The area of a field is (56x2 + 108x + 36) m2. The width of the field is (14x + 6) m. What is the length?
Answer:
\(area = length \times width \\ length = \frac{area}{width } \\ length = \frac{(56 {x}^{2} + 108x + 36) {m}^{2} }{(14x + 6)m} \\ length = (4x + 6)m\)
Find the present value of a sequence of annual payments of Rs 25000 each , the first being made at the end of 5th year and the last being paid at the end of 12th year, if money is worth 6%.
The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.
1: We can use the formula to calculate the present value of the annuity:
P = A x [1 - (1+i)^-n] / i
Where
P = Present Value
A = Annuity
i = Interest Raten = Number of payments
2: Calculate the present value of each payment using the formula:
P1 = 25000 / (1.06)⁵
P2 = 25000 / (1.06)⁶
P3 = 25000 / (1.06)⁷
P4 = 25000 / (1.06)⁸
P5 = 25000 / (1.06)⁹
P6 = 25000 / (1.06)¹⁰
P7 = 25000 / (1.06)¹¹
P8 = 25000 / (1.06)¹²
3: Substitute the values into the formula to find the present value:
P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8
P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)
P = 158620.39
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what’s 11.9 rounded to nearest tenth??
Answer:
It’s still 11.9
Step-by-step explanation:
what is the value of m in the equation 1/5m - 2/3y = 30 when y = 15
Answer:
200
Step-by-step explanation:
1/5m-2/3y=30
1/5m-2/3(15)=30
1/5m-30/3=30
1/5m-10=30
1/5m=30+10
1/5m=40
m=40/(1/5)
m=(40/1)(5/1)
m=200/1
m=200
PLS HELP ILL GIVE BRAINLEIST !!!!!!
15)Big Bird is making wedding favors for Jack and Jill. He can create 3 vases
every hour. He already had 2 vases in his storage area (7 pts)
a Write an equation to model this situation:
b. Graph Big Bird's vases. Be sure to label the axes appropriately
Watch the scales on the axes!!!
hours
vases
12
10
1
2
3
4
6+
4
2
O
i
3
Answer:
y=3x+2
Step-by-step explanation:
For a the equation is y=3x+2 because he makes 3 every hour (3x) and he already has 2 (+2).
For the graph you replace x with any number and solve. Plot the point.
Then you do it again but with a different x.
Finally you draw a straight line trough the 2 points.
an+element+with+mass+310+grams+decays+by+5.7%+per+minute.+how+much+of+the+element+is+remaining+after+9+minutes,+to+the+nearest+10th+of+a+gram?
Given dataAn element with mass 310 grams decays by 5.7% per minute. We need to find how much of the element is remaining after 9 minutes, to the nearest 10th of a gram.Solution
Let P be the amount of the element remaining after 9 minutes. Then, the amount of the element that decayed in 9 minutes is:Q = 310(1 - 0.057)^9= 310(0.943)^9≈ 174.24 gramsTherefore, the amount of the element remaining after 9 minutes is:P = 310 - Q≈ 135.76 grams.So, the amount of the element remaining after 9 minutes is approximately 135.76 grams, rounded to the nearest 10th of a gram.
Let x be the number of ounces of the 40% alloy Dr. Hamilton used.Then (80 - x) would be the number of ounces of the 60% alloy he used. Therefore, the equation is:0.4x + 0.6(80 - x) = 0.45(80)Simplify this equation to solve for x as follows:0.4x + 48 - 0.6x = 36Add like terms:-0.2x + 48 = 36Subtract 48 from both sides of the equation:-0.2x = -12Solve for x by dividing both sides of the equation by -0.2:x = 60Therefore, Dr. Hamilton used 60 ounces of the 40% alloy.
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Once again i need help its worth 90 points so id say its worth it
Answer:
EXPLANATION BELOW
Step-by-step explanation:
7 | 0, 4, 8
8 | 0, 8, 9
9 | 5
10 | 1, 9
11 | 6, 7
hope this helps!! you basically just divide the number into two-
How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation
Anyone please help me
Answer:
(a) 6
(b) 14
Step-by-step explanation:
Answer: (a) 6
(b) 14
Step-by-step explanation:
Let a represent the unknown digit for Chinese --> 70 + a
Let b represent the unknown digit for Mathematics --> 80 + b
Total scores ÷ Total number of tests = Average
\(\dfrac{78 + (70 + a) + (80 + b) + 62}{4}=76\\\\\\\dfrac{290 + a + b}{4}=76\\\\\\290 + a + b=304\\\\\\a+b=14\)
The two digits must add up to 14.
The only options are: (9,5), (8,6), (7,7), (6,8), and (5,9),
Mathematics - Chinese
(9, 5) 89 - 75 = 14 LARGEST Difference
(8, 6) 88 - 76 = 12
(7, 7) 87 - 77 = 10
(6, 8) 86 - 78 = 8
(5, 9) 85 - 79 = 6 SMALLEST Difference
Can someone plz help me find the area for this composite figure ??? Plz
\(S_\square = 8 * 8 = 64\\S_\triangle = \frac{ah}{2} = \frac{8*3}{2} = 4 * 3 = 12\\S = S_\square - S_\triangle = 64 - 12 = 52\)
Answer: 52.
If there is 0.25 probability that a child in New York gets the flu and a 0.30 probability that a child in Los Angeles gets the flu, what is the probability that both will get the flu?If there is 0.25 probability that a child in New York gets the file and a 0.30 probability that a child in Los Angeles gets the flu, what is the probability that both will get the flu? O 0.075 O 0.275 O 0.25 O 0.55
Answer:
(.25)(.30) = .075 probability that both children will get the flu
The probability that both a youngster in New York and a kid in Los Angeles will get this season's virus can be determined by duplicating the singular probabilities. Consequently, the likelihood that both will get influenza is 0.075.
To find the probability of the two occasions happening, we duplicate the probabilities of every occasion. Considering that the probability of a kid in New York getting this season's virus is 0.25 (or 25%) and the probability of a youngster in Los Angeles getting influenza is 0.30 (or 30%), we multiply these probabilities: 0.25 * 0.30 = 0.075. This implies there is a 0.075 probability, or 7.5%, that both a youngster in New York and a kid in Los Angeles will get influenza.
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How far apart are southville and westfield if southville is 57 mi due south of portland and westfield is 76 mi due west of portland?.
The distance from Southville to Westfield is 95 miles.
How to find the distance?
Let's say that Portland is the origin of the coordinate axis, East is the positive x-axis and North is the positive y-axis.
Westfield is 76 mi due west of Portland, then Westfield's position is:
(76mi, 0mi).
Southville is 57 mi due south of Portland, then its position is:
(0mi, 76mi)
The distance between these two points is given by:
\(D=\sqrt{(76mi-0mi)^2+(0mi-(-57mi)^2}\) = 95 miles.
So the distance from Southville to Westfield is 95 miles.
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Plsss help on number 3 (with explanation please)
Answer:
2198.9 cm³
Step-by-step explanation:
Volume of flower vase = volume of cuboid - voume of cone
Volume of cuboid = lbh (length×breath×height) = 12 × 10 × 20 = 2400 cm³
Volume of cone = ⅓ × base area × height
Base area = area of circle = pi radius² = pi 4² = 16 pi
(the diameter of the circle is 8 so to find the radius you just divide it by 2 and you'll get 4)
So,
vol of cone = ⅓ × 16 pi × 12 = 64 pi = 201.06192
Volume of flower vase = 2400 - 201.06192 = 2198.93808 = 2198.9
SOMEONE PLEASE ANSWER THIS QUESTION!
An experiment must have a placebo group in order to be valid. (T/F)
The statement is false.
Kane i training for a marathon. He tart running 3 mile during every training eion. Each week he plan to increae the ditance of hi run by 1/4 mile. Let w be the number of week. Write an expreion to how the ditance Kane run in a training eion after w week
The expression to which the distance Kane run in a training session after w week is {3+(1÷4)w}...
Kane is training for a marathon. He start running 3 miles during every training session. Each week he plan to increase the distance of his running by 1/4 miles. Let 'w' be the number of week.
Let w be the number of week.
So the expression is formed as that in 1st week if he sart running 3 miles and after every week 1/4 miles added ,it's mean 1 by forth part of one mile is added after every week so if;
we suppose that we have to calculate it for "w" weeks then these weeks will be multiply with 1/4 and then added to the starting miles which are 3 miles
So the expression will be:
{3+(1÷4)w}
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Your question is may be misspelled it will be...(Kane is training for a marathon. He start running 3 miles during every training session. Each week he plan to increase the distance of his running by 1/4 miles. Let 'w' be the number of week. Write an expression to how the distance Kane run in a training session after 'w' weeks?
$14,929 is invested, part at 9% and the rest at 6%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 6% by $1139.91, how much is invested at each rate? Round to two decimal places if necessary
Let x be the amount invested at 9% and y the amount invested at 6%.
Then we have:
I) x + y = $14,929
II) 0.09x - 0.06y = $1,139.91
First, we multiply equation II by 100:
9x - 6y = $113,991
Now, we add to it 6 times equation I:
15x = $203,565
x = $13,571
Now, we replace x in equation I to find y:
$13,571 + y = 14,929
y = $1,358
The image of the point (2, -3) under a translation is (-1, 1). Find the coordinates of the image of the point (5, 6) under the same translation.
Answer:
the anser is b great job
Step-by-step explanation:
Expand and simplify
(x – 3)(2x - 2)
Answer:
2x^2 - 8x + 6
Step-by-step explanation:
2x*x+(-3x*2x)+(x*(-2))+6=
2x^2-8x+6
Find an equation for the line that passes through the points (-6,6)and (4,6).
To find the equation of the line, we will use the formula below;
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)x₁=-6 y₁=6 x₂=4 y₂=6
substitute the values into the formula
\(y\text{ - 6 =}\frac{6-6}{4+6}(x\text{ + 6)}\)\(y-6=\frac{0}{10}(x+6_{})\)
y - 6 = 0
y = 6
PLSSS HELP ANSWER THESE QUESTIONS! WORTH 35 POINTS WILL GIVE BRIANLIEST IF ANWRS ARE CORRECT!
For which value of x do following expressions make sense?
THE FOLLOWING QUESTION HAVE TO BE ANWERED AS X IS LE THAN OR GREATER THAN WHATEVER THE ANWER IS
43a) √x+5 40a) ∛a 44b) √(-5x)^3 47e) √13-(13-2x)
THE NEXT COUPLE OF QUETION HAVE TO ANWERED AS X = WHATEVER THE ANSWER IS.
43b) √|x| + 1 44a) √(-2x)^2
45a) √x-5 = 3 The root is only over x-5
45b) √2x+4 = 2 the root is only over 2x+ 4
45c) √x(x+1) = 0 root is only over x(x+1)
45d) √x+5 = -1 the root is only over x+5
45e) √x + x^2 = 0 the root is only over x
42d) root 5 over x+3 = 17 1
9e) root 4 over x = 1 THE ANSWER IS NOT 1
19f) ∛x - 2 = 0 the root is only over x
THE FOLLOWING QUESTIONS HAVE NUMERICAL ANSWERS
9a) root 0.6 over 36 9h) root (4-10) over 0.01
The values of the variables and numbers in radical form are presented as follows;
43a) x > -5
40a) a > 0
44b) x < 0
47e) x > 0
43b) x = The set of all real numbers
44a) The set of all numbers
45 a) x = 14
45 b) x = 0
45 c) x = -1
45 d) x = -4
45 e) x = 1
42 d)x = 5/196
9 e) x = 4
9 f) x = 8
9 a) √(0.6/36) ≈ 0.13
9 h) √((4 - 10)/(0.01)) = i·10·√6
What is a radical expression in mathematics?A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.
43 a) \(\sqrt{x + 5}\)
x + 5 > 0
Therefore, x > -5
40a) ∛a
a > 0
44b) √(-5·x)³
-5·x < 0
x < 0
47e) √(13 - (13 - 2·x))
(13 - (13 - 2·x)) > 0
13 > (13 - 2·x)
0 > -2·x
x > 0
43b) √|x| + 1
x = All real numbers
44 a) √(-2·x)²
√(-2·x)² = -2·x
x = Set of all numbers
45 a) √(x - 5) = 3
(x - 5) = 3² = 9
x = 9 + 5 = 14
45b) √(2·x + 4) = 2
2·x + 4 = 2²
2·x = 2² - 4 = 0
x = 0/2 = 0
45c) √(x·(x + 1)) = 0
(x·(x + 1)) = 0
(x + 1) = 0
x = -1
45 d) √(x + 5) = -1
(x + 5) = (-1)²
x + 5 = 1
x + 5 = 1
x = 1 - 5 = -4
x = -4
45e) √x + x² = 0
√x = -x²
(√x)² = (-x²)² = x⁴
x = x⁴
1 = x⁴ ÷ x = x³
x = ∛1 = 1
x = 1
42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)
\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)
\(\dfrac{5}{x} }=14^2=196\)
\(x = \dfrac{5}{196}\)
9e) \(\sqrt{\dfrac{4}{x} } = 1\)
\(\dfrac{4}{x} } = 1^2\)
x × 1² = 4
x = 4
19f) ∛x - 2 = 0
∛x = 2
x = 2³ = 8
9a) \(\sqrt{\dfrac{0.6}{36} }\)
\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)
9h) \(\sqrt{\dfrac{4-10}{0.01} }\)
\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6
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3x^2+3x−90=0 Solve for x
. Enter the solutions from least to greatest.
Answer:
-6 or 5
Step-by-step explanation:
3x^2+3x-90=0 Simplified to x^2+x-30=0;
Using cross multiplication (x+6)*(x-5) = 0;
so x=-6 or 5
Help! I Greatly appreciated it.
it is proportional
cause it is trust me
Answer: it's proportional
Step-by-step explanation:
what is 3/4f-4g+8 how many terms
Answer:
0 = 2f + 3g + 4f + -4g + 8
Step-by-step explanation:
A student takes an exam containing 17 true or false questions. At least 11 correct answers are required to pass. If the student guesses, what is the probability that he will fail
The probability that the student will fail, given that he guesses the answers, is 0.227.
Since there are only two possible outcomes for each question (true or false),
the probability of guessing a correct answer is 1/2 = 0.5.
Likewise, the probability of guessing a wrong answer is also 1/2 = 0.5.
To find the probability of failing the exam,
we need to find the probability of answering less than 11 questions correctly.
Using the binomial probability formula,
the probability of getting k successes (correct answers) in n trials (questions) is given by:
P(k) = (n C k) * p^k * q^(n-k)
where p is the probability of success (getting a correct answer),
q is the probability of failure (getting a wrong answer), and (n C k) is the number of combinations of n things taken k at a time.
In this case,
n = 17, p = 0.5, and
q = 0.5.
The number of ways to get less than 11 correct answers is:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)P(X = k) = (n C k) * p^k * q^(n-k)
Substituting the values:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)
P(X = 0) = (17 C 0) * (0.5)^0 * (0.5)^17 = 0.0015
P(X = 1) = (17 C 1) * (0.5)^1 * (0.5)^16 = 0.0146
P(X = 2) = (17 C 2) * (0.5)^2 * (0.5)^15 = 0.0586
P(X = 3) = (17 C 3) * (0.5)^3 * (0.5)^14 = 0.1558
P(X = 4) = (17 C 4) * (0.5)^4 * (0.5)^13 = 0.268
P(X = 5) = (17 C 5) * (0.5)^5 * (0.5)^12 = 0.327
P(X = 6) = (17 C 6) * (0.5)^6 * (0.5)^11 = 0.2732
P(X = 7) = (17 C 7) * (0.5)^7 * (0.5)^10 = 0.1537
P(X = 8) = (17 C 8) * (0.5)^8 * (0.5)^9 = 0.0573
P(X = 9) = (17 C 9) * (0.5)^9 * (0.5)^8 = 0.013
P(X = 10) = (17 C 10) * (0.5)^10 * (0.5)^7 = 0.0015
Therefore, P(X < 11) = 0.0015 + 0.0146 + 0.0586 + 0.1558 + 0.268 + 0.327 + 0.2732 + 0.1537 + 0.0573 + 0.013 + 0.0015P(X < 11) = 0.8857
Thus, the probability of failing is: P(fail) = P(X < 11) = 0.8857
The probability that the student will fail, given that he guesses the answers, is 0.227 (rounded to three decimal places).
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a(n) ? is a shorthand method for writing a mathematical rule.a. equal sign (=)b. equationc. formulad. math problem
The equation is a shorthand method for writing a mathematical rule.
The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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