Answer:
I don't get the question
I researched and found nil❣️
human body temperatures have a mean of 98.20f and a standard deviation of 0.62f. sally's temperature can be described by z1.5. what is her temperature? round your answer to the nearest hundredth.
Sally's temperature is 99.13 degrees Fahrenheit. A z-score is a way of measuring how far a specific point is away from the mean in terms of standard deviations.
In this case, Sally's z-score is 1.5, which means that her temperature is 1.5 standard deviations above the mean. The mean body temperature is 98.20 degrees Fahrenheit and the standard deviation is 0.62 degrees Fahrenheit. So, Sally's temperature is 1.5 * 0.62 = 0.93 degrees Fahrenheit above the mean.
Therefore, Sally's temperature is 98.20 + 0.93 = 99.13 degrees Fahrenheit.
To round her temperature to the nearest hundredth, we can simply add 0.005 to her temperature, which gives us 99.135. Since 0.005 is less than 0.01, we can round her temperature down to 99.13.
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a box contains six red light bulbs, nine blue light bulbs, and five green light bulbs. what is the probability of randomly selecting a red light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a red light bulb or a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a green light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue or a green light bulb? (round to 2 decimal places)
Using it's definition, the probabilities are given as follows:
Red: 0.3 = 30%.Blue: 0.45 = 45%.Red or Blue: 0.75 = 75%.Green: 0.25 = 25%.Blue or Green: 0.6 = 60%.What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.
The total number of bulbs in this problem is given as follows:
6 + 9 + 5 = 20.
Six of them are red, hence the probability of a red bulb is:
p = 6/20 = 0.3 = 30%.
Nine of them are blue, hence the probability of a blue bulb is:
p = 9/20 = 0.45 = 45%.
Five of them are green, hence the probability of a green bulb is:
p = 5/20 = 0.25 = 25%.
The probability of a red or blue bulb is:
p = 0.3 + 0.45 = 0.75.
The probability of a blue or green bulb is:
p = 0.45 + 0.25 = 0.6.
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Offering 30 points and branliest ‼️‼️‼️ show work
Dang, I'm only 12 I don't knowwwww
Answer:
hey buddy sorry i dont know the answer hope this help
Step-by-step explanation:
PLZ HELP ME W DIS!!!
Answer:
6^8
Step-by-step explanation:
When the equation looks like this, you can multiply the exponents to give you 6^8. I think that's the kind of answer you're looking for :)
Hope this helps you!
A certificate is initially worth $500, and it accumulates annual interest at 6% compounded continuously. If Q(t) represents the value of the certificate at any time t, we have the model = .06Q, Q (0) = 500. Find the analytic solution to this separable ODE, then evaluate when t = 5. Also, use Euler's Method to approximate the value in 5 years if At = 1 year. Finally, plot the Euler approximations along with the exact solution dt curve.
The separable ordinary differential equation (ODE) representing the value of the certificate over time is dQ/dt = 0.06Q, with the initial condition Q(0) = 500. The analytic solution to this ODE is Q(t) = 500e^(0.06t). Evaluating the solution at t = 5 gives Q(5) = 500e^(0.06 * 5). Using Euler's Method with a time step of At = 1 year, we can approximate the value of the certificate in 5 years. Plotting the Euler approximations along with the exact solution will visualize the comparison between the two.
The given separable ODE, dQ/dt = 0.06Q, can be solved by separating variables and integrating both sides. We obtain ∫dQ/Q = ∫0.06 dt, which simplifies to ln|Q| = 0.06t + C. Applying the initial condition Q(0) = 500, we find C = ln(500). Therefore, the analytic solution to the ODE is Q(t) = 500e^(0.06t).
To evaluate Q(5), we substitute t = 5 into the analytic solution: Q(5) = 500e^(0.06 * 5).
Using Euler's Method, we can approximate the value of the certificate in 5 years with a time step of At = 1 year. Starting with Q(0) = 500, we iterate the formula Q(t + At) = Q(t) + (0.06Q(t)) * At for each time step. After 5 iterations, we obtain an approximation for Q(5) using Euler's Method.
Plotting the Euler approximations along with the exact solution will allow us to visualize the comparison between the two. The x-axis represents time, and the y-axis represents the value of the certificate. The exact solution curve will be the exponential growth curve Q(t) = 500e^(0.06t), while the Euler approximations will be a series of points representing the approximate values at each time step.
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HELP ME PLEASE!!!!!
this is hard for me i need help
Answer:
-1 1/2, 3
Step-by-step explanation:
For what values of c does the quadratic equatrion x^2-2x+c=0 have two roots of the same sign
The roots have positive or same signs when c>0.
Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.
\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)
Roots of quadrant equation have Samsame sign if product of roots >0.
\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)
Roots of quadratic equation have positive sign if product of roots<0.
c>0.
Combining results, we get:-
roots have positive signs when:-
c>0.
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RJ went into a store and eyeballed a pair of jeans. The proprietor of the
store said that the jeans were on sale. They were:
(.000005)(.02)(10,000)(5×10¹8)
2.5×10¹3
dollars off a $100 pair of jeans. RJ quickly did the math and walked out of
the store paying $
for his jeans.
Answer: sorry i needed points :<
Step-by-step explanation:
Suppose DE is 500 yards, and BC is 100yards. What is the distance across the river(BD)?
All that remains is to divide and multiply by a congruent to determine the length of A and B. AB = 57*79/23 = 195.87
What is congruent?Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.
In the case of a superimposition, two items or shapes are said to be congruent. They share the same dimensions and shape.
Congruent line segments and angles are those that have the same length in the context of geometric figures. Conditions for Triangle Congruence: SSS (Side-Side-Side)
Your explanation inspired me to draw a diagram.
Observe that booth ACB and DCE are vertical angles; the vertical angles theorem proves that vertical angles are equivalent. Additionally, since she spun around at an angle of 90 degrees from B to D and from D to E, the angles ABC and CDE are right angles, and we already know that right triangles are congruent.
As of now, we have demonstrated that ACBDCE and ABCCDE are matching congruent angles. As a result, we have only demonstrated that ABC and EDC are comparable using the AA postulate.
We are interested in the matching sides AB, BC, ED, and DC.
AB/BC = ED/DC
AB/79 = 57/23
All that remains is to divide and multiply by a cross to determine the length of A and B.
AB = 57*79/23 = 195.87
We can determine that 196 feet is the distance between points A and B that is closest to a full foot.
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7. a jar contains 5 red marbles, 3 blue marbles, and 2 white marbles. suppose you choose a marble at random, and replace it. then you choose a second marble. find the probability that you select two red marbles
The probability of selecting two red marbles from a jar containing 5 red marbles, 3 blue marbles, and 2 white marbles, with replacement, is (5/10) * (5/10) = 1/4 or 0.25.
Since we are replacing the marble after each selection, the probability of selecting a red marble on the first draw is 5 out of 10, as there are 5 red marbles out of a total of 10 marbles in the jar. After replacing the marble, the jar remains with the same number of marbles, including 5 red marbles. Thus, the probability of selecting a red marble on the second draw is also 5 out of 10.
To find the probability of both events occurring, we multiply the individual probabilities together: (5/10) * (5/10) = 25/100 = 1/4 = 0.25. Therefore, the probability of selecting two red marbles is 1/4 or 0.25.
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EX24) 29 du Use the chain rule to find the indicated derivative. og, where du g(u, v) = f(x(u, v),y(u, v)), f(x,y) = 7x³y³.x(u, v) = ucosv, y(u, v) = usiny = 56u² cos v sin³ v
∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).
To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:
Given:
g(u, v) = f(x(u, v), y(u, v))
f(x, y) = 7x³y³
x(u, v) = ucos(v)
y(u, v) = usin(v)
To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:
∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)
To find ∂f/∂x, we differentiate f(x, y) with respect to x:
∂f/∂x = 21x²y³
To find ∂x/∂u, we differentiate x(u, v) with respect to u:
∂x/∂u = cos(v)
To find ∂f/∂y, we differentiate f(x, y) with respect to y:
∂f/∂y = 21x³y²
To find ∂y/∂u, we differentiate y(u, v) with respect to u:
∂y/∂u = sin(v)
Now, we can substitute these partial derivatives into the equation for ∂g/∂u:
∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))
To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:
x(u, v) = ucos(v) = u * cos(v)
y(u, v) = usin(v) = u * sin(v)
∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))
Simplifying further, we get:
∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))
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What is the square of √ 1?
The square of given expression √1 ( square root of 1 ) is equal to 1.
As given in the question,
Given expression is equal to √1 ( square root of 1 )
To calculate the square of √1 we have,
Let us consider variable x is equal to √1
x = √1
Now take square on both the sides of the given expression we get,
x² = (√1 )²
⇒ x² = √1 × √1
Multiplying square root of 1 to square root of 1 is equal to 1 we get,
or use law of exponent :
√1 × √1 = \(1^{\frac{1}{2} + \frac{1}{2} }\)
= 1
⇒ x² = 1
Therefore, the square of the given expression √1 ( square root of 1 )is equal to 1.
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a lump-sum distribution is reported on form 1099-r. what is the significance of box 7 having a code a
The lump-sum distribution includes employer securities and the payer reported an amount in box 7.
A lump-sum distribution is when all of a plan participant's remaining balance from all of the employer's eligible plans of one kind are distributed or paid to them in one tax year (for example, pension, profit-sharing, or stock bonus plans).
The net unrealized appreciation (NUA) in employer securities is typically not subject to tax until you sell the securities, even if the lump-sum distribution includes employer securities and the payer reported a sum in box 7 of your Form 1099-R, Distributions From Pensions, Annuities, Retirement or Profit-Sharing Plans, IRAs, Insurance Contracts, etc. for NUA in employer securities. You may, however, decide to include the NUA in your income in the year that you receive the securities.
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write out the form of the partial fraction decomposition of the function (see example). do not determine the numerical values of the coefficients. (a) x4 (x3 x)(x2 − x 4) b. 2x⁶ - 64x³
The partial fraction decomposition of the function is given by x^4 / ((x^3-x)(x^2-x-4)) is A/x + B/(x-1) + C/(x+1) + D/(x^2+2x+2) + E/(x^2-x-4) and 2x^6 - 64x^3 is F/x + G/x^2 + H/x^3 + I(x-4) + J(x^2+4x+16) + K(x+4), respectively.
Partial fraction decomposition is a method used to simplify complex rational expressions by expressing them as a sum of simpler fractions. In first part, the given function is factored as x^4/(x^3-x)(x^2-x-4).
To perform the partial fraction decomposition, we need to find the coefficients A, B, C, D, and E, such that
x^4 / ((x^3-x)(x^2-x-4)) = A/x + B/(x-1) + C/(x+1) + D/(x^2+2x+2) + E/(x^2-x-4)
Similarly, in next part, the given function is factored as 2x^3(x^3-32), and the partial fraction decomposition would involve finding coefficients F, G, H, I, J, and K, such that
2x^6 / (x^3-32) = F/x + G/x^2 + H/x^3 + I(x-4) + J(x^2+4x+16) + K(x+4)
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Find the value of x such that the data set has the given mean.
Answer:
39.1
Step-by-step explanation:
31.7 + 42.8 + 26.4 = 100.9
35 times 4 = 140
140 - 100.9 = 39.1
Answer:
\(mean = \frac{31.7+42.8+26.4+x}{4} \\\\35 = \frac{31.7+42.8+26.4+x}{4} \\\\\\35*4 = 31.7+42.8+26.4+x \\\\140 = 100.9 + x\\\\x= 39.1\)
option 3
Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms.
log2 (x⁶y⁷/8)
Answer:
Step-by-step explanation:
\(Log \ a*b = log \ a + log \ b\\\\\\log \dfrac{a}{b} = log \ a - log \ b\\\\log_{2} \dfrac{x^{6}y^{7}}{8}=log_{2} \ x^{6} + log_{2} \ y^{7} - log_{2} \ \ 8\\\\=6log_{2} \ x + 7log_{2} \ y - log_{2} \ 2^{3}\\\\=6log_{2} \ x + 7log_{2} \ y - 3log_{2} \ 2\\\\\\=6log_{2} \ x + 7log_{2} \ y - 3*1\\\\\\=6log_{2} \ x + 7log_{2} \ y - 3\\\\\)
What is the vertex angle of an isosceles triangle?.
The vertex angle is defined as the angle opposite the base. It can be calculated by formula, 180° - 2B = A where, B=base angle and A=vertex angle.
The two sides of an isosceles triangle are congruent, which means they are the same length. The third side of an isosceles triangle is larger than the other two and is known as the base.
Every triangle has three angles that add up to a total of 180°. The base angles are the two angles located along the base of isosceles triangles. In isosceles triangles, the base angles are always congruent, or equal.
The vertex angle is defined as the angle opposite the base. The vertex angle is always greater than the sum of the two base angles. The vertex angle is always calculated by subtracting the base angles from 180°, using the general formula: 180° - 2B = A, where B represents the base angle and A represents the vertex angle.
Thus, vertex angle is defined as the angle opposite the base.
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For her phone service, Charmaine pays a monthly fee of , and she pays an additional per minute of use. The least she has been charged in a month is . What are the possible numbers of minutes she has used her phone in a month
Charmaine pays a monthly fee of a dollars for her phone service, and she pays an additional b cents per minute of use. The least she has been charged in a month is c dollars.
Solution:The least amount of charges that Charmaine paid in a month is c dollars. It is given that the monthly fee of Charmaine's phone service is a dollars. So, the amount charged per minute is given as (c - a) cents.
So, the least number of minutes she has used her phone in a month is c - a b cents. We can write this as an inequality as below: \(b(c - a) ≤ 100c\),
where 100c is the least amount of charges in dollars she paid in a month.
This can be simplified as:\(bc - ab ≤ 100c\) --(1)
Solving for c, we get: c ≤ (100 × b)/(100 - b × a) --(2)
From this, it is clear that c is positive if b × a < 100.
Therefore, we can say that the possible numbers of minutes Charmaine has used her phone in a month is c minutes such that: c ≤ (100 × b)/(100 - b × a),
if b × a < 100.
Since c represents the least amount of charges paid in a month, it must be a non-negative number.
Therefore, we can say that the possible numbers of minutes Charmaine has used her phone in a month is c minutes such that: c = ⌈(100 × b)/(100 - b × a)⌉, if b × a < 100.
Here, ⌈x⌉ represents the smallest integer that is greater than or equal to x. Therefore, the possible numbers of minutes she has used her phone in a month are: c = ⌈(100 × b)/(100 - b × a)⌉ if b × a < 100.
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10 Points
Question 18
A goal is to get at least 15% of daily calories from polyunsaturated fats found in various nuts, oils, and fish. 1 serving of
walnuts (about 15 pieces) has about 21 grams of polyunsaturated fat. Each fat gram has 10 calories. On a 2,100-calorie
diet, about what percent of daily calories does 1 serving of walnuts provide?
A 14.5%
B 20%
© 10%
D 15%
Question 19
10 Points
Using the percentage concept, it is found that 1 serving of walnuts provides 10% of daily calories.
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
P = a/b × 100%
In this problem, one serving has 21 grams, each with 10 calories, hence the number of calories is given by:
C = 21 x 10 = 210 calories.
Hence, out of a 2,100 calorie diet, the percentage is given by:
P = 210 / 2100 × 100%
= 10%
Therefore, 1 serving of walnuts provide 10% of daily calories.
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How many solutions?
3(x + 4) = 3x + 12
Answer:
Step-by-step explanation:
First we must distribute the multiplier 3 over x + 4, obtaining 3x + 12.
We then have 3x + 12 = 3x + 12, or 12 = 12. This is always true; the given equation has an infinite number of solutions.
Find an equation for the line tangent to the graph of the given function at the indicated point. 8 3) f(x): () = at at (4,2) X 1 4) f(x)=x2-x at (4, 12)
(a) tangent line to the graph of f(x) = x^3 at the point (4,2).
(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).
(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.
(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.
In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.
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How can 10% of 45 be used to determine 30% of 45?
Answer:
Step-by-step explanation:
If you know what 10% of 45 is and want to find 30%, you just multiply it by 3 since 10 * 3 = 30
Find the unit rate at which Jonas is paid.
Answer:
5 dollars per hour
Step-by-step explanation:
Answer:
5 per hour
Step-by-step explanation:
Divide 10 by 2 to get 5
Sam chooses a piece of equipment from the storage room at random and then replaces it. He then selects another random piece of equipment what is the probability that Sam selects a tennis racket and then a basketball
The probability of selecting a tennis racket and then a basketball is 1/64 or approximately 0.016.
What is probability ?
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Since Sam replaces the first piece of equipment before selecting the second one, this is an example of sampling with replacement.
The probability of selecting a tennis racket on the first draw is 1/16, since there is only 1 tennis racket out of a total of 16 pieces of equipment.
Since the first piece of equipment is replaced, the probability of selecting a basketball on the second draw is still 4/16, since there are still 4 basketballs out of a total of 16 pieces of equipment.
By the multiplication rule of probability, the probability of selecting a tennis racket on the first draw and then a basketball on the second draw is:
P(tennis racket and basketball) = P(tennis racket) x P(basketball | tennis racket not replaced)
P(tennis racket and basketball) = (1/16) x (4/16)
P(tennis racket and basketball) = 1/64
So the probability of selecting a tennis racket and then a basketball is 1/64 or approximately 0.016.
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3/5x+19−320x−7 simplified is
Answer: 1597x-60/5
Step-by-step explanation:
Answer:
(60 - 1597 x)/5
Step-by-step explanation:
Simplify the following:
(3 x)/5 - 320 x - 7 + 19
Hint: | Put the fractions in (3 x)/5 - 320 x - 7 + 19 over a common denominator.
Put each term in (3 x)/5 - 320 x - 7 + 19 over the common denominator 5: (3 x)/5 - 320 x - 7 + 19 = (3 x)/5 - (1600 x)/5 - 35/5 + 95/5:
(3 x)/5 - (1600 x)/5 - 35/5 + 95/5
Hint: | Combine (3 x)/5 - (1600 x)/5 - 35/5 + 95/5 into a single fraction.
(3 x)/5 - (1600 x)/5 - 35/5 + 95/5 = (3 x - 1600 x - 35 + 95)/5:
(3 x - 1600 x - 35 + 95)/5
Hint: | Group like terms in 3 x - 1600 x - 35 + 95.
Grouping like terms, 3 x - 1600 x - 35 + 95 = (95 - 35) + (3 x - 1600 x):
((95 - 35) + (3 x - 1600 x))/5
Hint: | Combine like terms in 3 x - 1600 x.
3 x - 1600 x = -1597 x:
(-1597 x + (95 - 35))/5
Hint: | Evaluate 95 - 35.
95 - 35 = 60:
Answer: (60 - 1597 x)/5
What is the median of 1.99,2.99,3.99,3.89
Marking BRAINLEIST!!
By implementing the strategies of BRAINLEIST, one can enhance their learning effectiveness.
How can BRAINLEIST be applied for effective learning?BRAINLEIST is an acronym representing effective learning strategies. Be organized by creating a study plan and maintaining an orderly environment. Actively read by engaging with the material, asking questions, and highlighting key points.
Interact with the material through discussions, group study, or hands-on activities to deepen understanding. Take comprehensive notes to reinforce learning and aid in review. Leverage technology to access educational resources and enhance learning experiences.
Evaluate progress through self-assessment and reflection. Improve learning through practice and active application of knowledge. Space out study sessions to benefit from spaced repetition and improved retention.
Teach others to reinforce understanding and solidify knowledge. Incorporating these strategies can optimize learning, retention, and academic performance.
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Find the exact value of cos J in simplest form.
√29
14
15
H
The cosine of angle J is given as follows:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:
Sine = length of opposite side/length of hypotenuse.Cosine = length of adjacent side/length of hypotenuse.Tangent = length of opposite side/length of adjacent side = sine/cosine.For the angle J in this problem, we have that:
4 is the adjacent side.\(\sqrt{98}\) is the hypotenuse.Hence the cosine of angle J is given as follows:
\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)
\(\cos{J} = \frac{4\sqrt{98}}{98}\)
\(\cos{J} = \frac{2\sqrt{98}}{49}\)
As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
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please answer correctly and i will give 10 extra points
Answer:
I believe the answer would be 48.6 milliliters
Step-by-step explanation:
54 * 0.9 = 48.6
what is the value of the 5th term
First term (a1) = -7
Second term (a2) = -2
Common difference: a2 - a1 = -2-(-7) = 5
Hence, Fifth term = a1 + 4d = -7 + 4(5) = 13