The option that describes the accuracy of Carl's solution in the Pythagoras is C. Carl's work is correct but he incorrectly labeled the leg lengths in step 2.
What is Pythagoras?It should be noted that a Pythagoras theorem is a theorem that states that the sum of the squares that are on the leg of a right angle will be equal o the square of the hypotenuse.
In this case, the steps given show that Carl's work is correct but he incorrectly labeled the leg lengths in step 2.
Therefore, the correct option is C.
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Answer:
c
Step-by-step explanation:
Carl’s work and answer are incorrect. He choose a vertex, V, that does not make a right triangle with MN.
If f(x)=sinx 2x 1 and g is the inverse function of f
The value of the derivative of the function g(x) at x = 1 will be 1/3. Then the correct option is A.
What is an inverse function?A function that may convert into another function is known as an inverse function or anti-function.
If the function is f(x) = sinx + 2x + 1.
Then the derivative of an inverse function g(x) of a function f(x) at a given value (a) will be
[tex]\rm g'(a) = \dfrac{1}{f'(g(a))}[/tex]
The derivative of f(x) will be
f'(x) = cos x + 2
Then the given value of a will be
a = 1
g(x) = f⁻¹(x)
put x = 0, then we have
f(0) = sin 0 + 2(0) + 1
f(0) = 1
Put x = 1, in the function f⁻¹(x). Then we have
f⁻¹(1) = 0
and
g(1) = 0
Then put a = 1, then we have
[tex]\rm g'(a) = \dfrac{1}{f'(g(a))}\\\\g'(1) = \dfrac{1}{f'(g(1))}\\\\g'(1) = \dfrac{1}{f'(0)}\\\\g'(1) = \dfrac{1}{\cos 0 + 2}\\\\g'(1) = \dfrac{1}{1+2}= \dfrac{1}{3}[/tex]
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What is the simplest form of x^2+5X-36/x^2-16
X+9/X+4
9/4
X+9/X-4
-9/4
X+9/X+4
Step-by-step explanation:
(x ^ 2 + 5x - 36)/(x ^ 2 - 16)
=(X+4)(X+9)/(X+4)(X-4)
=(X+9)/(X+4)
find the area of a pentagon with an apothem of 7 centimeters
If the side length of the pentagon is 19.27 centimeters. Then the area of the pentagon will be 337.225 square cm.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The apothem of the pentagon is 7 cm.
Then the area of the pentagon will be
[tex]\rm Area = 5 \times \dfrac{1}{2} \times apothem \times side \ length[/tex]
The side length of the pentagon will be
[tex]\rm Side \ length = 2 \times 7 \tan 54^o \\\\Side \ length = 19.27\ cm[/tex]
Then the area will be
[tex]\rm Area = 5 \times \dfrac{1}{2} \times 7\times 19.27\\\\Area = 337.225[/tex]
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A right-angled triangle has an area of
45 cm².
The width of the triangle is n + 3 cm.
The height is 9 cm less than the width.
45 cm²
n + 3
Find the value of n.
n =
Answer:
A = 1/2 width × height
width = n + 3 cm
height = width - 9 cm
height = n + 3cm - 9cm
height = n - 6cm
A = 1/2 width × height
= 1/2 (n + 3cm) × (n - 6cm)
45cm^2 ×2 = n^2 - 3ncm - 18cm^2
n^2 - 3ncm - 18cm^2 - 90cm^2 = 0
n^2 - 3ncm - 108cm^2 = 0
Find two numbers that their sum is -3 and their product is 108. Therefore, the numbers could be -12 and 9
n^2 - 3ncm - 108cm^2 = 0
n^2 - 12ncm + 9ncm - 108cm^2 = 0
n(n - 12cm) + 9cm(n - 12cm) = 0
(n - 12cm) (n + 9cm) = 0
Either (n - 12cm) = 0 or (n + 9cm) = 0
n = 12cm or n = -9cm
but n = -9cm is invalid because there is no negative distance.
n = 12cm is the answer
i need helpppppppppppppppppppppppppppppppppppppppppppppppp pleasee .
Answer:275sq
Step-by-step explanation:
210 feet for 1st rectangle
65 for the rectangle
An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s? 2 < s < 18 6 < s < 12. 8 s < 2 or s > 18 s < 6 or s > 12. 8.
Answer:
Step-by-step explanation:
Method
The smallest the third side can be is something just larger than 2
You get 2 by subtracting10 and 8. The third side is just a bit larger. 8 and 2 will make up the length of 10 so you cannot use 2 itself
The largest value possible is just under 18. You get 18 by adding 8 and 10 together. So to get a triangle, you need just under 18.
Answer
2<s<18
A
Marcus is doing a science experiment in which he measures the rate at which bacteria multiply. Every 15 seconds, the bacteria double in number. If there are 10 bacteria now, how many will there be in 2 minutes?
Since there are 10 bacteria, the amount of bacteria after 2 minutes is 2560 bacteria
To answer the question, we need to know what rate is
What is rate?A rate is the amount per unit time of a quantity.
Let A₀ = initial amount of bacteria.
Given that the amount of bacteria doubles every 15 seconds, we have that the amount of bacteria left is
A = 2ⁿA₀ where
n = number of 15 seconds that have passed = t/15 where t = time passed.Given that
A₀ = 10 and t = 2 min = 2 × 60 s = 120 s. So, n = t/15 = 120/15 = 8Amount of bacteria after 2 minutesSo, substituting the values of the variables into the equation, we have
A = 2ⁿA₀
A = 2⁸ × 10
A = 256 × 10
A = 2560 bacteria
So, the amount of bacteria after 2 minutes is 2560 bacteria
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James and Michael are the partners in a local business. They needed $480,000 to start the
business. They invested in the ratio 1:2, respectively. How much did James invest?
$140,000
$150,000
$160,000
$170,000
Answer:
James invested $160,000
Step-by-step explanation:
- In total, they needed $480,000 to start the business
- 1:2 ratio means one of them payed double the amount than the other
so the expression would be,
2x + x = 480,000
Let x represent how much they each need to invest
the expression can be simplified to,
3x = 480,000
now you need to get x alone, this would be done be dividing both sides by 3
[tex]\frac{3x}{3} = \frac{480,000}{3}\\x = 160,000[/tex]
James invest $160,000
Michael invest $160,000 x 2 = $320,000
and if you add them together, you get the total amount
$320,000 + $160,000 = $480,000
Let me know if you have any questions !
Write the counts for the rhythms shown below:
Example:
Example:
4
z
2 3
4
O
Idi De Di
g
H
VMIIS
Answer:
1, 2 +, 3 | 1, +, + | 1 +, 2 +, +
1, 2, 3, 4 | 2, 3, 5, 6 | 1, 3, 4, 5, 6
Step-by-step explanation:
"+" is the upbeat "and" (eighth notes)
There are 1,217 students and 75 teachers eating lunch in a cafeteria. Of those people, 562 are drinking chocolate milk. The rest are drinking skim milk. How many people are drinking skim milk?
Answer: When Rebecca Hodges sent her son to Pre-K in Brooklyn, she was excited for the year to come—full of learning adventures and making new friends. While his education got off to a strong start, Hodges quickly realized something was wrong.
Her son, just five years old, was gaining an alarming amount of weight. Within 6 months, he had gained 11 pounds and his body mass index went from the 60th to the 98th percentile. He began having trouble breathing and sleeping at night. “His diet at home, which was low in sugar, did not change,” she said. “When I brought him to the pediatrician and we started asking him questions about what he was drinking and eating, we realized this was happening because of school.”
Hodges discovered her son was drinking two boxes of chocolate milk a day, each with 20 grams of total sugar, 12 grams of natural sugar from lactose and 8 grams of added sugar. Those 8 grams of added sugar add up to almost one third of a child’s daily sugar allowance according to the American Heart Association and the World Health Organization, which both recommend that children limit sugar to 5 percent of their daily intake —about 6 teaspoons or 25 grams — of added sugar per day.
Hodges’s son is far from a unicorn in the classroom. He is just one of thousands of children growing sick from sugar in a country where the obesity epidemic has reached epic rates and shows no signs of slowing down. Health-care costs related to obesity in this country topped $1.72 trillion dollars in 2018.
In the state of New York, childhood obesity has tripled over the past three decades. In New York City, 40 percent of NYC public school students aged 6 to 12 are overweight or obese. While NYC’s overweight and obesity numbers have been relatively constant over the last 5 years, in communities with underserved populations obesity is on the rise.
Childhood obesity disproportionately affects low-income communities and communities of color. In New York City, children living in the Bronx have the highest prevalence of overweight (43 percent vs. 4 percent in Brooklyn, 40 percent in Staten Island, 39 percent in Queens, 38 percent in Manhattan).
According to the Youth Risk Behavior Survey by the CDC, compared to New York City students, a higher proportion of East and Central Harlem students are overweight and obese. Thirty-five percent of East and Central Harlem students in grades 9-12 are overweight and obese compared to 28 percent in NYC. Obesity rates in low income East Harlem are higher than what they are on the wealthier Upper East Side, just a few short blocks away.
Additionally, according to research reported in Obesity Reviews, obese children and adolescents were approximately “five times more likely to be obese in adulthood than those who were not obese.”
Research also suggests that consuming sweetened beverages such as chocolate milk every day can train a child’s palate to prefer sugar-sweetened foods.
In response, more and more school districts have been removing chocolate milk from their menus. Chocolate milk is banned in Boulder, Minneapolis, Washington D.C., Montgomery County, Maryland, and most recently, San Francisco.
Even New York City’s Department of Corrections (DOC) has phased out sugar-sweetened beverages because of their ties to costly obesity-related diseases. Ten years ago DOC Commissioner Martin Horn told Gothamist, “the move will save money in the long run because healthier inmates will be less prone to strokes, heart attacks or diabetic shock on the city’s watch.” Today, the DOC bans both chocolate milk and juice. And yet, NYC’s Department of Education (DOE) continues to serve chocolate milk (and juice) to 1.1 million children a day. In fact, out of the 1,866 schools within the DOE, only 198 schools opted out of serving chocolate milk in FY 2019.
Rumors have been circulating that DOE may remove chocolate milk from public schools, but it’s deputy press secretary Avery Cohen, would not confirm. She offered this statement: “Our priority is the health and well-being of our students, and every day, we offer a variety of healthy food options that exceed USDA standards. We’ll continue to work with the Department of Education and Department of Health to ensure our meals are nutritious.”
Instead of eliminating chocolate milk as a public health policy, the DOE has outsourced chocolate milk decisions to principals, who may choose to stop serving it in their individual schools. This shifts a huge burden to educators, who want to keep peace with parents of differing views, and who are presumably not health professionals.
Which deal is better? 10 slices of cheese at $2.48 or 12 slices of cheese at $3.18?
Answer: 10 Slices
Step-by-step explanation:
10 slices of cheese is about $0.24 a slice.
12 Slices of cheese is about $0.26 a slice.
So 10 slices is the better deal.
help...............!
Answer:
I had an advise that math antics can help uStep-by-step explanation:
Thank you
* (10) If the point (3,a) lies on the graph of the linear relation
described by the equation y=9-4%, determine the
value of a.
Explanation:
The point (3,a) means that x = 3 and y = a pair up together
Plug in those values and compute 'a'
y = 9-4x
a = 9-4(3)
a = 9-12
a = -3
The point (3, a) updates to (3, -3)
The point (3, -3) is on the line y = 9-4x
Hello answer and I will give you brainliest:No cheating!
Cheating=report
375 times 157=
Answer this or get reported
find the value of x and y in the figures below.
Answer:
1 ) x = y = 9
2 ) x = 5, y = 25
3 ) x = 15, y = 9
4 x = 30, y = 15
Step-by-step explanation:
1 )
The shape is parallelogram.
In parallelogram, alternate interior angles are equal.
9x and 45 are alternate interior angles.
So,
9x = 45
Divide 9 on both sides,
x = 45 / 9
x = 5
In square, opposite side lengths are equal.
2y = 18
Divide 2 on both sides,
y = 18 / 2
y = 9
2 )
The shape is parallelogram.
In parallelogram, the sum of adjacent angles are 180.
In parallelogram, opposite angles are equal.
5y and 55 are adjacent angles,
5y + 55 = 180
5y = 180 - 55
5y = 125
Divide 5 on both sides,
y = 125 / 5
y = 25
11x and 55 are opposite angles,
11x = 55
Divide 11 on both sides,
x = 55 / 11
x = 5
3 )
The shape is parallelogram.
In parallelogram, alternate interior angles are equal.
2x and 30 are alternate interior angles,
2x = 30
Divide 2 on both sides,
x = 30 / 2
x = 15
x + y and 24 are also alternate interior angles,
x + y = 24
15 + y = 24
y = 24 - 15
y = 9
4 )
The shape is a square.
Square is also a parallelogram.
All the four angles in a square are 90 and are equal.
So,
3x = 90
Divide, 3 on both sides,
x = 90 / 3
x = 60
6y = 90
Divide 6 on both sides,
y = 90 / 6
y = 15
The radius is 10 units, and each layer is one unit high. What is the volume of the cylinder in cubed units?
Answer:
Volume of cylinder is 6285.71 square units.
Step-by-step explanation:
Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.
r=10 units
⇒ Diameter, d = 20 units
Also given height is twice its radius.
⇒ Height=2(r)=2(10)=20 units
Volume of cylinder=πr^2h= 22/7 × 100×20
=22/7 × 2000
= 44000/7
= 6285.71square units.
hence, volume of cylinder is 6285.71 square units.
Answer:
use a volume calculator
Step-by-step explanation:
Which table represents a linear function?
x 1 2 3 4 5
y 5 10 15 20 25
x 1 2 3 4 5
y 5 20 45 80 125
x 1 2 3 4 5
y 5 25 125 625 3,125
x 1 2 3 4 5
y 2 4 8 16 32
Answer:
x 1 2 3 4 5
y 5 10 15 20 25
in x =n+1
in y=5n
(I NEED THE ANSWER ASAP)
What is difference between the mean number of boxes sold during the first 4 months of last year and the first 4 months of this year?
Answer:
3.167
Step-by-step explanation:
Mean = Sum of the number of boxes/ sum of the number of months
Mean number of boxes sold last year = (435+428+437+398+447+426)/6= 428.5
Mean number of boxes sold this year=
(440+416+445+423+420+446)/6 = 431.667
Difference = 431.667-428.5
≈ 3.167
Graph the solution set of the inequality 1/4x >-2
—
Answer:
x>= -8
Step-by-step explanation:
Hope the above image help..
Visit Quick math if you have problems with inequalities
The club buys shirts in bulk for 8 each. they mark up the shirts 75% to sell in the school store. At the end of the year, At the end of the year they sell the shirts for 25% off. how much profit does the spirit club make on each shirt sold at the end of the year?Show your work.
The amount of profit the spirit club make on each shirt sold at the end of the year is = $2
Calculation of profitThe quantity of shirt bought by the club = $8 per shirt
At the end of the year they sold the shirts at discount of %25 each.
That is 25/100 × 8
= 200/100
= $2
Therefore, they made profit of $2 for each shirt they sold at the end of the year.
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What is the midpoint of AB?
Answer:
hence the midpoint of AB is 1/2,1
Step-by-step explanation:
[tex]midpoint \: of \: ab = ( \frac{ - 2 + 3}{2} )( \frac{5 - 3}{2} ) \\ = ( \frac{1}{2} )(1)[/tex]
Please help me with this math problem!! Will give brainliest!! :)
Answer:
Step-by-step explanation:
Identify the function that best models the given data
Answer:
f(x) ≈ 58.20x2 + 18.96x + 34.46
Step-by-step explanation:
Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.
First Differences
113 − 34 = 79
304 − 113 = 191
615 − 304 = 311
1042 − 615 = 427
1584 − 1042 = 542
Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.
Second Differences
191 − 79 = 112
311 − 191 = 120
427 − 311 = 116
542 − 427 = 115
The second differences are approximately the same so we will use a quadratic function to represent the data.
Enter the data into a calculator. Plot the data and find the quadratic regression equation that best models the data.
f(x) ≈ 58.20x2 + 18.96x + 34.46
The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books. Choosing which 2 books describes a pair of dependent events?
A. one of the nonfiction books on the bottom shelf, and a second nonfiction book from the bottom shelf
B. one of the fiction books on the top shelf, and then one of the nonfiction books on the top shelf
C. one of the fiction books on the top shelf, and then one of the nonfiction books on the bottom shelf
D. one of the fiction books on the top shelf, and then a second fiction book from the bottom shelf
When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. The correct option is B.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent if we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Comparing it with the chain rule will give
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
Thus, showing that whether one occurred or not, the other one doesn't care about it (independence).
The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelves, there are 3 fiction and 5 nonfiction books.
When Choosing 2 books that describe a pair of dependent events, one of the fiction books should be chosen from the top shelf, and another one should be a nonfiction book from the top shelf itself.
Hence, the correct option is B.
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Answer: One of the nonfiction books on the bottom shelf, and a second nonfiction book from the bottom shelf
Step-by-step explanation: Answer on Edmentum
Divide:
43
Remainder
)982
im using long division
if you 43÷982 you'd get 0.0438 you could also express 43/982 as a mixed fraction
982 divided by 43 equals 22 with a reminder of 36.
brainliest me this is all i can do for youI need help please it’s a math problem
You can turn that ratio into a fraction:
3/5 voted yes
2/5 voted no
You can then multiply the fraction of people that voted yes by the total number of people.
[tex]=\frac{3}{5}(2860)[/tex]
= 1716
1716 people voted yes.
Answer:
1716
Step-by-step explanation:
2860 divided by 5 is 572
572x3 is 1716
572x2 is 1144
1144+1716 is 2860
so 1716 makes sense.
100%
息区
Ms. Putnam is taking a group of students to a basketball game. Tickets to the basketball game cost $8 each. For each ticket that she buys, Ms.
Putnam will buy a $1 drink and a $2 snack.
Which expression represents the total amount of money Ms. Putnam will spend if she buys tickets?
O A. 81 +1 +2
OB. 81 +1 +21
(8 + 1 + 2)1
HURRY
Answer:
Step-by-step explanation:
(8+1+2)t
t= the amount of tickets Ms. Putnam buys.
Hope this helps!
( 7k^8m) ( k^13m^7)÷(14k^20 m^9)
Answer:
k=9
Step-by-step explanation:
Here's how to solve this equation
Step 1: -7(k+9)=9(k-5)-14k
Step 2: -7k-63=(9k-45)-14k
Step 3: -7k-63=-5k-45
Step 4: -7k=-5k+18
Step 5: -2k=18
Solution: k=-9
Good luck on your assignment, hope this helps
if katie has 4 cups of milk and her recipe calls for a gallon, how much more milk does she need?
Answer: 8
Step-by-step explanation:
12 cups is a gallon
You randomly select a coin from a jar containing 30 coins: 8 pennies, 10 nickels, 7 dimes, and 5 quarters.
What is the probability of:
selecting a penny?
selecting a nickel?
not selecting a dime?
selecting a dime or a quarter?
The probability of selecting a penny is 4/15
The probability of selecting a nickel is 1/3
The probability of selecting a dime is 7/30
The probability of selecting a dime or a quarter is 2/5
ProbabilityFrom the formula for probability,
[tex]P(A) = \frac{Number\ of\ favourable\ outcomes\ to\ A}{Total\ number\ of\ possible\ outcomes}[/tex]
Total number of possible outcomes = 30
The probability of selecting a penny[tex]P(penny) = \frac{8}{30}[/tex]
[tex]P(penny) = \frac{4}{15}[/tex]
The probability of selecting a penny is 4/15
The probability of selecting a nickel[tex]P(nickel) = \frac{10}{30}[/tex]
[tex]P(nickel) = \frac{1}{3}[/tex]
The probability of selecting a nickel is 1/3
The probability of selecting a dime[tex]P(dime) = \frac{7}{30}[/tex]
The probability of selecting a dime is 7/30
The probability of selecting a dime or a quarterFirst, we will calculate the probability of selecting a quarter
[tex]P(quarter) = \frac{5}{30}[/tex]
[tex]P(quarter) = \frac{1}{6}[/tex]
Then, the probability of selecting a dime or a quarter is
[tex]P(dime \ or \ quarter) = \frac{7}{30}+ \frac{1}{6}[/tex]
[tex]P(dime \ or \ quarter) = \frac{7+5}{30}[/tex]
[tex]P(dime \ or \ quarter) = \frac{12}{30}[/tex]
[tex]P(dime \ or \ quarter) = \frac{2}{5}[/tex]
The probability of selecting a dime or a quarter is 2/5
Hence,
The probability of selecting a penny is 4/15
The probability of selecting a nickel is 1/3
The probability of selecting a dime is 7/30
The probability of selecting a dime or a quarter is 2/5
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