The length of the arc LM is 8.72 cm.
We have,
The length of an arc is the distance that runs through the curved line of the circle making up the arc.
The length of an arc is expressed as;
l = tetha/360 × 2πr
tetha = R
R = 100°
and, radius = 5 units
so, we get,
l = 100/360 × 2 × 3.14 × 5
l = 8.72 cm (1.dp)
therefore the length of the arc LM is 8.72 cm
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Brenna is buying 4.25 feet of ribbon for $1.95 a foot. She determines the product of the two numbers to determine the actual cost of the length of ribbon. Which expression will result in the best estimate for Brenna to use to check her multiplication?
4 times 1
4 times 2
5 times 1
5 times 2
Answer:
4 times 2
Step-by-step explanation:
4.25 can be rounded down to 4, and 1.95 can be rounded up to 2, which gives us 4.25 x 1.95 rounded to 4 x 2.
Answer:
4 TIMES 2
Step-by-step explanation:
6 tens+ 8hundreds+7 ones
Answer:
867.Step-by-step explanation:
Given equation:
800 + 60 + 7Solve:
800 + 60= 860 + 7= 867.Answer:
\(\huge\boxed{867}\)
Step-by-step explanation:
6 tens is the equivalent of 6 * 10, or 60
8 hundreds is the equivalent of 8 * 100, or 800
7 ones is the equivalent of 7 * 1, or 7.
Simply add these numbers to get that 60 + 800 + 7 = 867
Hope it helps :)
The total square footage of wall space to be painted is 575 square ft. If a gallon of paint covers 250 square feet, how many quarts of paint will be required for the project? Set up a plan or formula for solving the problem.
For the competition of project , 5.75 quarts of paint is required .
Usually one quart of paint cover 100 square feet
Since, a gallon covers 250 square feet, it means that
one gallon of paint is equal to \(\frac{250}{100} =2.5\) quarts of paint.
Number of gallon required to paint 575 square feet,
\(=\frac{575}{250} \\=2.3 gallons\)
So, 2.3 gallons is equal to,
\(=2.3*2.5\\=5.75 quarts\)
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1
=1
iuytuyk,yugggggggggggggggggggggggggg
Answer:
As an autistic dyslexic person, i can confirm your question is held in a silly way as possible
A person Invests $1,800 in an account that earns 3.38% annual Interest. Find when the value of the investment reaches $3,200.
Answer:
9.4674
Step-by-step explanation:
Help with this problem!!!!
X/2-3=9
Answer:
pretty sure it's
2
−
3
=
9
\frac{X}{2}-3=9
2X−3=9
2
−
3
+
3
=
9
+
3
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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Find the value of x that will make A||B
А.
9x - 40
B
3x + 20
x= [?]
Answer:
x = 10
Step-by-step explanation:
soln
9x - 40 = 3x + 20
9x - 3x = 20 + 40
6x = 60
x = 10
The first term of a geometric sequence is 5 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the sequence?
Step-by-step explanation:
s1 = 5
s2 = s1 × -2 = 5×-2 = -10
s3 = s2 × -2 = -10 × -2 = 20
...
now, we could do all that manually.
but there is also a formula for geometric sequence.
in fact, there are 2 - one for finite and one for infinite sequences.
and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.
since we need the sum of the first 5 terms, which of the 2 do you think we need ?
of course, finite, because 5 is a normal number we can "touch". it is not infinity.
so, the formulas for finite sums of geometric sequences are :
if |r| < 1, Sn = a(1 - r^n)/(1 - r)
if |r| > 1, Sn = a(r^n - 1)/(r - 1)
if r = 1, Sn = na
if r = -1, then Sn = a or 0 depending on if n is odd or even.
the sequence is in general
s1 = a
sn = sn-1 × r
in our case a = 5, r = -2.
so, what form of the formula do we need ?
|-2| = 2, and 2 > 1, so ...
S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =
= 5 × 11 = 55
quick check, as the 5 terms are
5
-10
20
-40
80
and their sum is : 55
correct !
Please help worth 10 points
Answer:
2.5%
Step-by-step explanation:
ahhh has to be 20 characters
I would say 50 percent
Is (-5, -5) a solution to this system of equations? y = -2x - 15 y = 2x + 5 yes or no
No, (-5, -5) is not a solution to this system of equations.
To determine whether (-5, -5) is a solution to the system of equations y = -2x - 15 and y = 2x + 5, we can substitute the values of x and y into each equation and see if both equations are true.
Substituting x=-5 and y=-5 into the first equation, we get:
y = -2x - 15
-5 = -2(-5) - 15
-5 = 5 - 15
-5 = -10
This is not true, so (-5, -5) is not a solution to the first equation.
Substituting x=-5 and y=-5 into the second equation, we get:
y = 2x + 5
-5 = 2(-5) + 5
-5 = -5
This is true, so (-5, -5) is a solution to the second equation.
Since (-5, -5) does not satisfy both equations simultaneously, it is not a solution to the system of equations y = -2x - 15 and y = 2x + 5.
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From first principles, find the indicated derivatives
By definition of the derivative,
\(\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}\)
\(\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{s^3+3s^2h+3sh^2+h^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}\)
\(\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\frac{3s^2h+3sh^2+h^3}2}{h}\)
\(\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 \frac{3s^2h+3sh^2+h^3}{h}\)
\(\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 (3s^2+3sh+h^2)\)
\(\displaystyle\frac{dr}{ds} = \frac{3s^2}2\)
If f(-5)=7 identify a point on the graph of f
Answer:
If f(-5) = 7, then the point P(-5, 7) will be on the graph of f
where -5 is the x-coordinate and 7 is the y-coordinate
Step-by-step explanation:
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
the circumference of a circle with a radius length of 9 cm. use 3.14 for pi and round to two decimal places.
Answer: 56.52
Step-by-step explanation:
C=(2)(pi)(r)
C=(2)(3.14)(9)
C=56.52
Draw a line from the figure to the area of the figure.
13 square units
14 square units
15 square units
Hurry please do tomorrow this is a 3rd grade problem
To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.
How do you Draw a line?Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.
E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.
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which of these is most likely to weigh 2 kilograms car roast chicken horse egg tea bag
The item most likely to weigh 2 kilograms is a roast chicken.
Which of them would weight 2 kilograms?
The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.
The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.
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35 is what percent of 50?
Answer:
17.5
Step-by-step explanation:
35% of 50 is 17.5
Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
Q.23 Prove that: (sin4A - cos4A + 1) = 2sin2A
Answer:
Step-by-step explanation:
I think you have the question incomplete, and that this is the complete question
sin^4a + cos^4a = 1 - 2sin^2a.cos^2a
To do this, we can start my mirroring the equation.
x² + y² = (x + y)² - 2xy,
This helps us break down the power from 4 to 2, so that we have
(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)
Recall from identity that
Sin²Φ + cos²Φ = 1, so therefore
(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)
On expanding the power and the brackets, we find that we have the equation proved.
sin^4a + cos^4a = 1 - 2sin^2a.cos^2a
Kacie just bought a new house and needs to buy new sod for her backyard, if the dimensisons of her yard are 33.5 feet by 13.6 feet, what s the area if her yard
Which of these best explains the next step to simplify this expression?
Answer:
Make the -4 exponent in the denominator positive.
"A number n equals 7 more than half the number"
The number 'n' is equal to 14
In the question, we have been given that the number n is equal to 7 more than half of the number 'n'.
So in these linear equation-solving types of problems, first of all, we convert the written sentence into an equation.
So the equation for the following problem statement is -
n = 7 + n/2
{since we have been given the number equals 7 more than half of the number }
Solving the equation we have,
n = 14.
We can easily see that 14 is the number which is 7 more than half of itself.
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A loan is being paid off by payments of 1,000, 2,000, ..., 10,000 at the end of years 1, 2, ..., 10.
The effective annual interest rate is 18%.
Determine the amount of interest in the 7th payment.
Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.
We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000
At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.
For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals
1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000
For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2
For the seventh payment (end of year 7), the present value is:
7,000 x [(1 - (1 + r)-7) / r]
which equals
7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7
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for each of the given functions , find the derivative at the given point , first finding . (see theorem 7, page 156 of the stewart essential calculus textbook)
To find the derivative of a function at a given point, you can use the derivative formula and evaluate it at that point.
How to find the derivativeFor example, if f(x) is a function and you want to find the derivative at the point x = a, then you can use the formula:
f'(a) = lim (h->0) [f(a + h) - f(a)]/h
Here, h represents a small change in x around the point a. To find the derivative at the point a, you evaluate this limit by plugging in a for x and simplifying the expression.
Alternatively, if you have already found the derivative of the function, you can simply plug in the point a to find the value of the derivative at that point.
An overview was given as your information is incomplete.
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Medical records indicate that people with more education tend to live longer; the correlation is 0.48. The slope of the linear model that predicts lifespan from years of education suggests that on average people tend to live 0.8 extra years for each additional year of education they have. The slope of the line that would predict years of education from lifespan is
Answer:
0.288
Step-by-step explanation:
Given that :
Correlation (R) = 0.48
Slope of linear model which predicts Lifespan from years of education (m) = 0.8
To determine the value of slope of the model which predicts years of eductauoon from lifespan:
The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education
Hence,
(R² * 1/m)
0.48² * 1/0.8
0.2304 * 1.25
= 0.288
5/8 entre 6 personas
Based on the information we can infer that 5/8 between 6 people is equal to 15/24.
How to divide 5/8 between 6 people?To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.
5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder
So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:
(5/4) x 6 = 30/4 = 15/2 = 15/24
So each person would receive 15/24 of the original amount.
Note: Here is the question in English:
5/8 divided in 6 people
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John earns $22 per hour for a regular 40 hour work week. Any hours worked over 40 hours are paid at time and a half.
What is John's gross pay if he worked 44 hour this week?
By conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.
What are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.
The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.
The order of operations refers to the rules that specify how to solve an expression including many operations.
Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).
So, we know that:
John earns $22 per hour for the first 40 hours of a week.
After every additional hour, he earns 1.5 times $22 each hour.
22 * 1.5 = $33
So, John's gross pay if he worked 44 hours will be:
22*40 + 33*4
880 + 132
$1,012
Therefore, by conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.
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Please read the question and answer if you can 6th grade
Answer:
112 in
Step-by-step explanation:
14 x 8 = 112
What is the slope of the equation of a line that passes through the point
(10, 4) and has a y-intercept of -4?
Answer:
y = 0.8x – 4
or
y = 4 /5x- 4
Step-by-step explanation:
the slope is 4/5 or 0.8 either one work :)