Answer:
1. Area of a circle = 452.2 m²
2. Area of a circle = 1,017.4 ft²
Step-by-step explanation:
Area of a circle = πr²
1.
When radius, r = 12 m
π = 3.14
Area of a circle = πr²
= 3.14 * (12m)²
= 3.14 * 144 m²
= 452.16 m²
Approximately to the nearest tenth,
Area of a circle = 452.2 m²
2.
When radius, r = 18 ft
π = 3.14
Area of a circle = πr²
= 3.14 * (18 ft)²
= 3.14 * 324 ft²
= 1,017.36 ft²
Approximately to the nearest tenth,
Area of a circle = 1,017.4 ft²
For a science project, James needs to fill a tennis ball with sand but he doesn't know how much he will need. He measured the diameter of the tennis ball and found it
to be 6 cm. Which of the following would be the approximate amount of sand he would need?
Ashanti bought seven boxes to pack all the junkie stuff in her room. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. How many boxes did she start with?
SHOW YOUR WORK.
Answer:
the aswer is 154
Step-by-step explanation:
multiple
Answer:
3 and half
Step-by-step explanation:
half of seven is 3.5
what is the factor of
x^2-4x-5
Answer:
(x - 5)(x + 1)
Step-by-step explanation:
Use the sum product pattern:
x^2 - 4x - 5
x^2 + x - 5x - 5
Common factor from the two pairs:
(x^2 + x) + (5x - 5)
x(x + 1) - 5(x + 1)
Rewrite in factored form:
x(x + 1) - 5(x + 1)
(x - 5)(x + 1)
there are 8 classes in the cafeteria. the ratio of the kindergarten classes to other classes was 1:3. how many classes were NOT from kindergarten
(6TH GRADE)
Answer:
6
Step-by-step explanation:
1+3=4
8÷4=2
Kindergarten = 2×1 =2
Other class = 2×3=6
Ratio of kindergarten classes to other classes is 2:6
You have been working for five years after college and are ready to buy your first home. Homes in the area you want to live in cost $250,000. The biggest mortgage you can afford is $150,000. What is the down payment you will need to pay?
Based on the cost of the homes in the area, the down payment that needs to be paid is $100,000.
The down payment that will be paid is the cost of the house less the amount that is paid for mortgages.
Cost = $250,000
Mortgages = $150,000
The down payment is therefore:
= Cost - mortgages
= 250,000 - 150,000
= $100,000
In conclusion, the down payment is $100,000.
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the probability that a woman with two children either has two girls or two boys is 0.5048. what is the probability that she has one child of each sex? (give the answer to four decimal places.)
The probability that a woman is having one child of each sex is 0.2548.
The probability of having two children of the same gender (either both girls or both boys) can be calculated by multiplying the probability of having a girl or a boy is (which is 1/2 or 0.5) by itself twice, as each child is independent of the other:
0.5 × 0.5 = 0.25 (probability of having either two girls or two boys)
Since the total probability of having two girls or two boys is 0.5048 as given in the question, the probability of having one child of each sex is: 0.5048 - 0.25 = 0.2548.
Therefore, the probability that a woman with two children has one child of each sex is 0.2548
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Which expression is equivalent to –4(5x – 9) + 6(2x + 5)?
Answer:
expression equivalent given question is 93 - 8 x.
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a submarine is 50 meter below sea levl. it goes up 15 meters, then goes down 40 meters. what is the submarine' new position relative to sea level ? 1. ( -105 meters) 2. ( -75meters) 3.( -35 meters) 4. ( 25 meters)
Answer:
-75 meters
Step-by-step explanation:
First, subtract 15 from 50, since it is going up:
50 - 15
= 35
Then, add 40, since it is going back down:
35 + 40
= 75
So, the new position is -75 meters relative to sea level
First condition of submarine=50 m below the sea=-50 m
It goes up 15 m, that means we must add up 15 m.
-50 m+15 m=
15 m-50 m=-35 m (35 m below the sea)
And, then goes down 40 m, so we subtract it with 40 m.
-35 m-40 m=-75 m (75 m below the sea)
So, the right answer is 2. (-75 meters)
Thank you.
Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger
Answer:
c if am wrong please correct me
What is 3,920,000,000,000 in scientific notation? 3.92×1010 3.92 times 10 to the power of 10 3.92×1012 3.92 times 10 to the power of 12 3.92×10−10 3.92 times 10 to the power of negative 10 3.92×10−12
Answer:
3.92 x \(10^{12}\)
Step-by-step explanation:
The first factor needs to be a number greater than 0, but less than 10. That would be 3.92. Next count how many places you moved the decimal. In standard notation the decimal should be 12 spaces to the right. This is the exponent.
Helping in the name of Jesus.
- 3 1/2 ( - 12 1/4 )
One side of a triangle is 84cm the other two sides are in the ratio 3:8 If the perimeter is 282cm find the the longest and shortest side
If you take out a loan that costs 561.60 over eight years at an interest rate of 9%, how much was the loan for
The original loan amount by the given rate was 38,000.
We are given that;
Cost of loan= 561.60
Rate= 9%
Now,
To use the PV function, we need to convert the interest rate and the loan term to monthly values.
The interest rate per month is 9% / 12 = 0.75%.
The number of payments is 8 * 12 = 96.
The payment amount is 561.60
The PV function would be:
=PV(0.75%, 96, -561.60)
=38,000.
Therefore, by the simple interest the answer will be 38,000.
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hiii please help i’ll give brainliest if
you give a correct answer thank you!
Answer:
No. 1 and 3 can be solved with division.
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. 0.8
2. 4.2
3. 30
4. 4.5
Let f(x)=x
3x+1
. Explain why the Fundamental Theorem of Calculus applies to f on [1,4] and then use FTC to evaluate ∫
1
4
f. 10) 3. Let f:[1,10]→R with f(t)=e
t
2
and G(x)=∫
1
x
f. Find G
′
(x). Briefly justify. (10)
G'(x) = e^x^2 is the derivative of G(x).
The Fundamental Theorem of Calculus (FTC) applies to the function f(x) = x^3x+1 on the interval [1,4] because f(x) is continuous on this interval. The FTC states that if a function f(x) is continuous on a closed interval [a, b] and F(x) is an antiderivative of f(x) on [a, b], then the definite integral of f(x) from a to b is equal to F(b) - F(a).
To evaluate the definite integral of f(x) on [1,4], we need to find an antiderivative of f(x) first. Integrating f(x), we get F(x) = (1/4)x^4 + x.
Now, using the FTC, we can evaluate the definite integral of f(x) on [1,4] as follows:
∫[1,4] f(x) dx = F(4) - F(1)
= [(1/4)(4)^4 + 4] - [(1/4)(1)^4 + 1]
= (64/4 + 4) - (1/4 + 1)
= 16 + 4 - 1/4 - 1
= 20 - 1/4 - 1
= 20 - 5/4
= 75/4
= 18.75
For the second question, we have G(x) = ∫[1,x] f(t) dt, where f(t) = e^t^2. To find G'(x), we differentiate G(x) with respect to x using the Fundamental Theorem of Calculus.
G'(x) = f(x)
= e^x^2
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Find the value of c such that:
SUM(e^nc)=10
The value of c that satisfies the equation \(\sum_{n=1}^{\infty} e^{nc}=10\) is approximately -0.0451.
What is a equation?
An equation is a mathematical statement that asserts the equality of two expressions.
To find the value of c such that the infinite series \(\sum_{n=1}^{\infty} e^{nc}\) is equal to 10, we can use the formula for the sum of an infinite geometric series with \(a = e^c\).
The formula for the sum of an infinite geometric series is given by:
S = a / (1 - r),
where S is the sum of the series, a is the first term, and r is the common ratio.
In this case, \(a = e^c\) and the common ratio \(r = e^c\).
We can rewrite the equation as:
\(10 = e^c / (1 - e^c)\)
Next, let's solve for c:
\(10(1 - e^c) = e^c\)
\(10 - 10e^c = e^c\)
\(10 = 11e^c\)
\(e^c = 10 / 11\)
Taking the natural logarithm (ln) of both sides:
\(c = ln(10 / 11)\)
Using a calculator, we can find the approximate value of c:
c ≈ -0.0451.
Therefore, the value of c that satisfies the equation \(\sum_{n=1}^{\infty} e^{nc}=10\) is approximately -0.0451.
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GIVING BRAINLIEST
Wynter likes to take the long way to school each morning. He walks 4 blocks south and then 4 blocks west to arrive at the school. Today he is running late and decides go directly to school to save time. (Assume there is nothing obstructing his path.) If one block is 320 feet, how many feet will he travel if he goes directly to school? Round to the nearest tenth of a foot.
Distance travel by Drew = 1,315.21 feet (Approx)
What is distance?Distance is a measure of how far apart two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. Sometimes, the symbol |AB| is used to represent the distance between two points.
Given:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Find:
Distance travel by Drew
Computation:
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travel by Drew = Total distance in
north? + Total distance in west?
Distance travel by Drew = v9302 + 9302
Distance travel by Drew:
= V864,900 + 864,900
Distance travel by Drew = V1,729,800
Distance travel by Drew = 1,315.21 feet (Approx)
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Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a
viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answer:
(X,$0.30)
Step-by-step explanation:
X represents the number of days past due and the Y which is 0.30 represents the additional cost per day
The required ordered pair is (x,0.30x).
What are ordered pairs?In mathematics, an ordered pair (a, b) is a pair of objects. The order in which the objects appear in the pair is significant: the ordered pair (a, b) is different from the ordered pair (b, a) unless a = b. (In contrast, the unordered pair {a, b} equals the unordered pair {b, a}.)
Now, it is given that
late payment charges at midnight = $0.30
x is the number of days that a library book is late
y is the the total fee
So, penality charge in x days = number of days*late payment charges
penality charge in x days = $0.30x
Now, Let us suppose that the total penalty charge in x days is y ,
Hence
y = 0.30x
which makes a function that represents a relation between penalty imposed and the number of days for which it was delayed.
Hence the required ordered pair is (x,0.30x).
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simplify the expression
6 + 4x - 8
Answer:
4x - 2
Step-by-step explanation:
Just subtract 8 from 6.
Answer:
= 4 x -2
= 2 (2x -1 )
Step-by-step explanation:
by using BAdmass rule okay
Fries 420 grams = $2.77
How much if its 1kg?
6r + 4n when r = 5 and n = 2
Step-by-step explanation:
When r = 5 and n = 2
Then
6r + 4n
= 6 * 5 + 4 * 2
= 30 + 8
= 38
Hope it will help :)
substitution
x+3y=-4 2x+6y=5
Answer:
This system has no roofs
Answer:
No solution
Step-by-step explanation:
In algebra 1 we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule. The addition rule for equations tells us that the same quantity can be added to both sides of an equation without changing the solution set of the equation.
What is sextillion divided by nonmillion times 10,000 minus 200 million plus 5000.
The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
Define the term expression?A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.
First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.
Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.
Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.
Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.
Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
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Mhanifa please help me on this it’s really difficult. I will mark brainliest! Point P is the centroid of triangle ABC. Use the given information to find the indicated measures.
Answer:
The centroid of a triangle is the intersection of the three medians of the triangle. The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.As per above mentioned property, we have:
Question1
AL = 27 - given AP = 2/3 AL = 2/3(27) = 18 PL = 1/3 AL = 1/3(27) = 9Question 2
BP = 102 - given BP = 2/3 BL ⇒ BL = 3/2(CP) = 3/2(102) = 153 PL = 1/3 BL = 1/3(153) = 51Which class has the smaller inner quartile range?
Mrs. Moore class has the smaller interquartile range
Which class has the smaller interquartile range?From the question, we have the following parameters that can be used in our computation:
Dot plots
On the dotplots, we have the following readings
Mr Kim: Mrs. Moore
Q1 64 62
Q3 69 66
The difference between Q3 and Q1 is the IQR
So, we have
Mr Kim: Mrs. Moore
Q1 64 62
Q3 69 66
IQR 5 4
4 is less than 5
Hence, Mrs Moore class has smaller IQR
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a type of variable that can have an infinite number of values within a specified range is:
Answer: Continuous variables
A variable is said to be continuous if it can assume an infinite number of real values within a given interval
Step-by-step explanation: yep
Estimate the product of 78 x 42 = ________. Select the equation that correctly represents how to round each factor.
Answer:
78=80
42=40
40 x 80= 3200
Step-by-step explanation:
anything above 5 rounds up and anything below 5 rounds down
78 is above 75 so its 80
42 is below 45 so its 40
The cot for 10 ounce of organic blueberrie i $2. 70 which equation can be ued to determine x the cot, in dollar for 30 ounce of organic blueberrie?
If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.
As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then
x = 30y + c
where c is the fixed cost
We know for 10 ounce of organic blueberry it costs $2.70. That is
2.70 = 10y + c
c = 2.70 - 10y
So x = 30y + 2.70 - 10y
x = 20y + 2.70
-- The question is incomplete, the complete question is as follows--
"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"
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A body recieves impluse of 24Ns and 35Ns inclined 55° to each other.Calculate the total impulse
Answer:
Se determina mediante al auxilio del cálculo integral.
Supongamos una fuerza variable con el tiempo. Entonces el impulso es:
J = ∫F(t) dt, para t entre t y to
Si es variable con la posición o con la velocidad se deberá expresar la integral en términos de la posición o de la velocidad.
Step-by-step explanation:
The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation: