Find the values of x such that the angle between the vectors k 2, 1, 21l, and k 1, x, 0 l is 458.
Answers
The values of x that satisfy the condition for the angle between the vectors to be 45 degrees. The values of x that satisfy the condition for the angle between the vectors ⟨2, 1, 21⟩ and ⟨1, x, 0⟩ to be 45 degrees can be determined using the dot product and magnitude of the vectors.
By calculating the dot product and magnitudes, we can derive an equation involving x. Solving this equation yields two possible values for x: -4 and 2.
The angle between two vectors can be found using the dot product formula:
cosθ = (v · w) / (|v| |w|)
In this case, the vectors are ⟨2, 1, 21⟩ and ⟨1, x, 0⟩. The dot product is given by:
(2 * 1) + (1 * x) + (21 * 0) = 2 + x
The magnitudes of the vectors are:
|⟨2, 1, 21⟩| = sqrt(2^2 + 1^2 + 21^2) = sqrt(446)
|⟨1, x, 0⟩| = sqrt(1^2 + x^2 + 0^2) = sqrt(1 + x^2)
Substituting these values into the dot product formula:
cos45° = (2 + x) / (sqrt(446) * sqrt(1 + x^2))
Simplifying, we have:
sqrt(2)/2 = (2 + x) / (sqrt(446) * sqrt(1 + x^2))
Cross-multiplying and squaring both sides:
2 * (sqrt(446) * sqrt(1 + x^2))^2 = (2 + x)^2
Simplifying further:
2 * (446 * (1 + x^2)) = (2 + x)^2
Expanding and rearranging the equation:
892 + 892x^2 = 4 + 4x + x^2
Rearranging and combining like terms:
891x^2 - 4x + 888 = 0
Solving this quadratic equation yields two possible values for x: x = -4 and x = 2. Therefore, these are the values of x that satisfy the condition for the angle between the vectors to be 45 degrees.
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Related Questions
Write the sum as a product. Simplify the product.
(–6) + (–6) + (–6) + (–6) + (–6) + (–6)
Answers
Answer:
-36
Step-by-step explanation:
*WILL GIVE BRALIEST FOR THE BEST ANSWER*
The first figure is dilated to form the second figure.
Which statement is true?
Question 1 options:
A. The scale factor is 0.4
B.The scale factor is 0.9
C. The scale factor is 2.1
D. The scale factor is 2.5
Answers
Answer:
It will be D 2.5
Step-by-step explanation:
Hope this Helped
Answer:
The scale factor is 2.5
Step-by-step explanation:
took test on k-12
Find the range, the standard deviation, and the variance for the given samples. Round non-integer results to the nearest tenth.−10, −16, −21, −24, −4, −30, −32 range ________standard deviation __________variance __________
Answers
From the given values, we can see that the lowest values is -32 and the highest value ie -4. Since the range is the difference betwwwn the highest and the lowest value, the range is
\(\begin{gathered} \text{Range}=-4-(-32) \\ \text{Range}=28 \end{gathered}\)On the other hand, the sample variance formula is
\(S^2=\sqrt[]{\frac{\sum ^7_{n\mathop=1}(x-\bar{x})^2}{n-1}}\)where x^bar is the mean and n is the total number of sample elements. In our case, n=7 and the mean is
\(\begin{gathered} \bar{x}=\frac{-10-16-21-24-4-30-32}{7} \\ \bar{x}=-\frac{137}{7} \\ \bar{x}=-19.5714 \end{gathered}\)Then, the sample variance is given by
\(\begin{gathered} S^2=\frac{(-10-19.57)^2+(-16-19.57)^2+(-21-19.57)^2+\cdot\cdot\cdot+(-32-19.57)^2}{6} \\ S^2=105.2857 \end{gathered}\)Since the standard deviation is the square root of the sample variance, we have
\(\begin{gathered} S=\sqrt[]{105.2857} \\ S=10.26088 \end{gathered}\)By rounding the solutions to the nearest tenth, the answers are:
\(\begin{gathered} \text{Range}=28 \\ \text{Variance}=105.3 \\ \text{ Standard deviation = 10.3} \end{gathered}\)Random variable X with mean = 3 and variance = 25. Then what is the mean and variance of Y equals 7-2X
2. Random variable X with mean =3 and variance = 25. then what is EX^2
3. Randcom variable X with mean 0 and variance =3 and Y with mean =3. then what is mean and variance of X+Y
4. find integer X that a binomial (X, 1/2) has standard deviation that is 4 percent of the mean
Answers
The correct value of integer X that satisfies the condition is 2500.
To find the mean and variance of the random variable Y = 7 - 2X, we can use the properties of expected value and variance.
Mean of Y:
E(Y) = E(7 - 2X) = 7 - 2E(X)
Since E(X) = 3 (given), we have:
E(Y) = 7 - 2(3) = 7 - 6 = 1
Variance of Y:
\(Var(Y) = Var(7 - 2X) = (-2)^2 * Var(X)\)
Since Var(X) = 25 (given), we have:
Var(Y) = 4 * 25 = 100
Therefore, the mean of Y is 1 and the variance of Y is 100.
To find\(E(X^2),\) we can use the property of expected value.
\(E(X^2) = Var(X) + [E(X)]^2\)
Given that Var(X) = 25 and E(X) = 3, we have:
\(E(X^2) = 25 + 3^2 = 25 + 9 = 34\)
Therefore, \(E(X^2)\) is equal to 34.
To find the mean and variance of X + Y, we can use the properties of expected value and variance.
Mean of X + Y:
E(X + Y) = E(X) + E(Y)
Since E(X) = 0 and E(Y) = 3 (given), we have:
E(X + Y) = 0 + 3 = 3
Variance of X + Y:
Var(X + Y) = Var(X) + Var(Y)
Since Var(X) = 3 (given) and Var(Y) = 100 (from the previous calculation), we have:
Var(X + Y) = 3 + 100 = 103
Therefore, the mean of X + Y is 3 and the variance of X + Y is 103.
To find an integer X such that a binomial distribution with parameters (X, 1/2) has a standard deviation that is 4% of the mean, we can use the relationship between the standard deviation and the mean of a binomial distribution.
For a binomial distribution with parameters (n, p), the standard deviation (SD) is given by:
SD = √(n * p * (1 - p))
Given that the standard deviation should be 4% of the mean, we have:
SD = 0.04 * mean
Substituting the formula for SD in terms of n and p, we get:
√(n * (1/2) * (1 - 1/2)) = 0.04 * (n * (1/2))
Simplifying the equation:
√(n/4) = 0.02n
Squaring both sides:
\(n/4 = 0.0004n^2\)
Multiplying both sides by 4:
\(n = 0.0004n^2\)
Dividing both sides by n:
1 = 0.0004n
Multiplying both sides by 10000:
10000 = 4n
Dividing both sides by 4:
2500 = n
Therefore, the integer X that satisfies the condition is 2500.
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Arianna' Diner old 80 milkhake lat week. 35% of the milkhake had whipped cream on top. How many milkhake with whipped cream were old?
Answers
The amount Arianna sold 80 milkshakes last week, and 35% of them had whipped cream on top. This means 28 milkshakes had whipped cream.
Arianna sold 80 milkshakes last week and 35% of them had whipped cream on top. This means that 35% of the total number of milkshakes, 80, had whipped cream. To calculate the amount of milkshakes with whipped cream, we must multiply the total number of milkshakes (80) by 35%. 35% of 80 is 28, so 28 milkshakes had whipped cream. To find the percentage, we divide the amount of milkshakes with whipped cream (28) by the total number of milkshakes (80). When we divide 28 by 80, we get 0.35, which is the same as 35%. Therefore, 35% of the milkshakes sold by Arianna last week had whipped cream on top.
Total milkshakes: 80
Milkshakes with whipped cream: 28
Percentage: 28/80 = 0.35 = 35%
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At the same time of day, a man who is 76 inches tall casts a 57-inch shadow and his son casts a 24-inch shadow. What is the height of the man’s son?
Answers
Answer:
32 inches
Step-by-step explanation:
An easy way to solve this would be to divide 76 by 57 which would give you 1.3333
That is the amount that the height of the man is reduced by to get the height of the shadow.
After that we multiply 1.333 by 24 to get 32
Hope this helps!
After drinking, the body eliminates 37% of the alcohol present in the body per hour.
a) The amount of alcohol in grams in the body on an hourly basis is described by a discrete time dynamical system (DTDS) of the form xn+1=f(xn), where xn is the number of grams of alcohol in the body after n hours. Give the updating function f (as a function of the variable x).
b) Peter had three alcoholic drinks that brought the alcohol content in his body to 41 grams, and then he stopped drinking. Give the initial condition (in grams) for the DTDS in (a).
c) Find the solution of the DTDS in (a) with the initial condition given in (b). (Your answer will be a function of the variable n, which represents time in hours.)
Answers
The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.
a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.
Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:
f(x) = x - 0.37x
Simplifying the equation:
f(x) = 0.63x
b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:
x0 = 41 grams
c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.
For n hours, the solution is given by:
xn = f^n(x0)
Applying the updating function f(x) repeatedly for n times:
xn = f(f(f(...f(x0))))
In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:
xn = (0.63)^n * x0
Substituting the initial condition x0 = 41 grams, the solution becomes:
xn = (0.63)^n * 41 grams
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gabriella anwswered 72 questions correctly on her multiple choice history final and earned a grade of 36%. how many total question were on final exam
Answers
Answer:
200 questions
Step-by-step explanation:
Here,
total answers Gabriella answered=72
grade = 36%
total number of question = ?(X)
We know,
36% of X = 72
or, 36x/100 = 72
or, 36x = 72*100
or, x = 7200/36
or, x = 200
4(1 - 4r) + 5(r - 7)
Answers
Answer -11r - 31
First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.
In a survey, the planning value for the population proportion is p
∗
=0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.09 ? Round your answer up to the next whole number.
Answers
A sample size of 457 should be taken to provide a 95% confidence interval with a margin of error of 0.09.In a survey, the planning value for the population proportion is p* = 0.25.
To determine how large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.09, we can use the formula given below:
$$n=\left(\frac{z_{\alpha/2}}{E}\right)^{2} p^{*}(1-p^{*})$$
Where; E = Margin of error, zα/2
= the z-score corresponding to the level of confidence α,
p* = planning value for the population proportion,
n = sample size.
Substituting the given values in the formula, we have;
$$n=\left(\frac{z_{\alpha/2}}{E}\right)^{2} p^{*}(1-p^{*})
$$$$n=\left(\frac{1.96}{0.09}\right)^{2} \times 0.25 \times (1-0.25)
$$$$n=456.71416$$
Rounding this value up to the next whole number, we get;
$$n = 457$$
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I swear my teacher wants to fail meeee
Answers
Answer:
Step-by-step explanation:
why what happen?
but same though my teacher keeps giving me a 3/5
6x + 30 > 150
What is x?
Answers
Answer:
the answer is x >20
Step-by-step explanation:
x>20 hope that helps
A letter/symbol that takes place of an unknown number?
Answers
Answer: A variable
Step-by-step explanation:
what is equivialent to 8\11
Answers
Answer:
16/22, 24/33, and 40/55
or
72.7272...% = Percentage form
0.7272... = Decimal form
Hope this helps :)
Pls brainliest...
A rare species of aquatic insect was discovered in the Amazon rainforest. To protect the species, environmentalists declared the insect endangered and transplanted the insect to a protected area. The population P (in thousands) of the insect in t months after being transplanted is P(t)=50(1+0.05t)/2+0.01t
A. Determine the number of months until the insect population reaches 40 thousand.
B. What is the limiting factor on the insect population as time progresses? Explain your answer.
Answers
a) It would take approximately 11.90 months for the insect population to reach 40 thousand.
b) The limiting factor on the insect population as time progresses is transplanted insect
A. Determining the number of months until the insect population reaches 40 thousand:
To find the number of months it takes for the insect population to reach 40 thousand, we need to solve the equation P(t) = 40. Let's substitute the given equation for P(t) and solve for t:
P(t) = 50(1 + 0.05t)/2 + 0.01t
40 = 50(1 + 0.05t)/2 + 0.01t
To simplify the equation, let's multiply both sides by 2:
80 = 50(1 + 0.05t) + 0.02t
80 = 50 + 2.5t + 0.02t
80 = 50 + 2.52t
30 = 2.52t
Dividing both sides by 2.52:
t ≈ 11.90
B. Understanding the limiting factor on the insect population as time progresses:
In population ecology, a limiting factor refers to any factor that constrains the growth, abundance, or distribution of a population. In the case of the transplanted insect population, there can be several potential limiting factors that influence its growth and sustainability.
Disease and Parasites: Disease outbreaks or parasitic infestations can significantly impact the insect population. Insects are vulnerable to various pathogens and parasites, and if the conditions favor their spread, it can lead to population declines.
Environmental Factors: Environmental factors such as temperature, humidity, water quality, and habitat degradation can affect the insect population. If the conditions deviate from the species' requirements, it can limit their ability to survive, reproduce, and maintain a stable population.
To determine the specific limiting factor(s) on the transplanted insect population, detailed studies and ongoing monitoring would be necessary. Environmentalists and scientists would need to conduct research, collect data, and analyze the population dynamics, along with various ecological factors, to identify the key limitations and develop effective conservation strategies.
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what is the circumference of a circle that’s 9cm
Answers
Answer:
C=2πr hope this helps!! and have a great day!!!
Step-by-step explanation:
Answer:
I can't give you the answer to this because you didn't specify whether or not 9 was the radius or the diameter. could you comment back and ill give you an answer for this?
Step-by-step explanation:
Yo I need to bring up my grade bad so
2x=5+y
(please show it graphed already :D)
Answers
Answer:
Step-by-step explanation:
Henry took out a 4 year loan for 5,000 and payed 4.2% simple annual interest. Ingrid took out a 6 year loan for 5,000 and payed 3.9% simple annual interest. What is the difference between the mounts of interest Henry and Ingrid payed for their Loans
Answers
Answer:
Ingrid pays 330 more than Henry.
OR
Henry pays 330 less than Ingrid.
Step-by-step explanation:
SI = Simple Interest
P = Principal
R = Rate
T = TIme
Henry
=> SI = P x R x T / 100
=> SI = 5,000 x 4 x 4.2 /100
=> SI = 50 x 4 x 4.2
=> SI = 200 x 4.2
=> SI = 840
Ingrid
=> SI = P x R x T / 100
=> SI = 5,000 x 6 x 3.9 / 100
=> SI = 50 x 6 x 3.9
=> SI = 300 x 3.9
=> SI = 1170
1170 - 840
=> 330
Ingrid pays 330 more than Henry.
OR
840 - 1170
=> -330
Henry pays 330 less than Ingrid.
A Geometry textbook has a mass of 48 grams.
The textbook is in the shape of a rectangular prism with dimensions show below.
To find density use: density
mass
volume
5 cm
16 cm
10 cm
Determine the density of the Geometry textbook in g/cm3.
Round your answer to the nearest hundredths place.
Answers
The density of the Geometry textbook is 0.06 g/cm^3.
To find the density of the Geometry textbook in g/cm^3, we need to find its volume first. The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.
In this case, the length is 16 cm, the width is 10 cm, and the height is 5 cm. Therefore, the volume of the Geometry textbook is:
V = l x w x h = 16 cm x 10 cm x 5 cm = 800 cm^3
Now, we can find the density of the textbook using the formula:
\(density = mass / volume\)
Plugging in the given mass of 48 grams and the calculated volume of 800 cm^3, we get:
density = 48 g / 800 cm^3 = 0.06 g/cm^3
Therefore, the density of the Geometry textbook is 0.06 g/cm^3. We rounded our answer to two decimal places as the original mass was given in grams to two decimal places.
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a _______ is an interval estimate of a predicted value of y.
Answers
A confidence interval is an interval estimate of a predicted value of y.
what is confidence interval?
In statistics and mathematics, a confidence interval is a range of values that is used to estimate an unknown population parameter with a certain level of confidence. It provides a measure of the uncertainty or variability associated with the estimate.
A confidence interval consists of two parts: an interval of values and a confidence level. The interval of values represents the range within which the true population parameter is likely to fall. The confidence level represents the probability or level of confidence that the interval contains the true parameter.
For example, if we have a confidence interval of 95%, it means that if we repeated the sampling and estimation process multiple times, approximately 95% of the resulting intervals would contain the true population parameter.
Confidence intervals are commonly used in hypothesis testing, estimation of population means or proportions, regression analysis, and other statistical analyses. They provide a way to quantify the uncertainty associated with an estimate and allow researchers to make informed conclusions based on the data.
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what is it in simplist form 4/15+1/9
Answers
4/15 + 1/9 = 12/45 + 5/45 = 17/45
HELP
A gardener is buying plants for a large planter and a garden the gardener needs 6 plants for the large planter and 5 plants for every 4 square feet in the garden the total area of the garden is 7 feet
Answers
To determine the number of plants needed for the large planter and garden, we'll calculate them separately :Large Planter: The gardener needs 6 plants for the large planter. No additional calculations are required for this part. Garden: For every 4 square feet in the garden, the gardener needs 5 plants. The total area of the garden is 7 square feet.
To calculate the number of plants needed for the garden, we'll divide the total area by 4 and then multiply it by 5:
Number of plants needed for the garden = (Total area / 4) * 5
Number of plants needed for the garden = (7 / 4) * 5
Number of plants needed for the garden = 1.75 * 5
Number of plants needed for the garden = 8.75
Since we cannot have a fraction of a plant, we round up to the nearest whole number.
Therefore, the gardener needs 9 plants for the garden.
The gardener needs 6 plants for the large planter and 9 plants for the garden, for a total of 15 plants.
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A compressive load of 80,000 lb is applied to a bar with
circular section0.75indiameter and a length of 10 in. if the
modulus of elasticity of the bar material is10,000 ksi and the
Poisson’s ratio i
Answers
The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.
A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.
if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.
We have to determine the decrease in diameter of the bar due to the applied load.
Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.
Length of the bar, L = 10 in
Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²
Stress produced by the applied load,σ = P/A
= 80,000/0.4418
= 181163.5 psi
Young's modulus of elasticity, E = 10,000 ksi
Poisson's ratio, ν = 0.3
The longitudinal strain produced in the bar, ɛ = σ/E
= 181163.5/10,000,000
= 0.01811635
The lateral strain produced in the bar, υ = νɛ
= 0.3 × 0.01811635
= 0.005434905'
The decrease in diameter of the bar due to the applied load, ∆d/d = -υ
= -0.005434905∆d
= -0.005434905d
The final diameter of the bar,
d - ∆d = d + 0.005434905d
= 1.005434905d
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Find the lateral surface area of a triangular prism with height of 6 inches and right triangles bases with legs 9 inches and 12 inches
Answers
Given:
Height of a triangular prism = 6 inches
Legs of right triangular base are 9 inches and 12 inches.
To find:
The lateral surface area of a triangular prism.
Solution:
According to the Pythagoras theorem:
\(Hypotenuse^2=Base^2+Perpendicular^2\)
Using Pythagoras theorem, we get
\(Hypotenuse^2=(9)^2+(12)^2\)
\(Hypotenuse^2=81+144\)
\(Hypotenuse^2=225\)
Taking square root on both sides, we get
\(Hypotenuse=\sqrt{225}\)
\(Hypotenuse=15\)
Now, the lateral surface area of a triangular prism.
\(A=Ph\)
Where, P is the perimeter of the base and h is the height of the prism.
\(A=(9+12+15)\times 6\)
\(A=(36)\times 6\)
\(A=216\)
Therefore, the lateral surface area of a triangular prism is 216 square inches.
Answers+steps please?
Answers
B) 1 second
C) 56 feet
Use the properties of logarithms to write the logarithm in terms of
log5(2) and log5(3).
log5(12)
Answers
\(\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_5(12)\implies \log_5(4\cdot 3)\implies \log_5(2^2\cdot 3) \\\\\\ \log_5(2^2)~~ + ~~\log_5(3)\implies 2\log_5(2)~~ + ~~\log_5(3)\)
solve 2/x-1=16/x^2+3x-4
Answers
The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)
To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:
1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)
2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:
\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)
3. Simplify the equation:
\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)
4. Combine like terms:
-x^3 - x^2 + 14x - 8 = 16x
5. Move all terms to one side of the equation:
\(-x^3 - x^2 - 2x - 8 = 0\)
6. Rearrange the equation in descending order:
-x^3 - x^2 - 2x + 8 = 0
7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.
8. Divide the equation by (x - 2):
\(-(x - 2)(x^2 + x - 4) = 0\)
9. Apply the zero product property:
x - 2 = 0 or x^2 + x - 4 = 0
10. Solve each equation separately:
x = 2
11. Solve the quadratic equation:
For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:
\(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)
Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+119x+57
Answers
Answer:
Time required to hit the ground is 7.9 s.
Step-by-step explanation:
The height of the rocket is given by
\(y =- 16 x^2 + 119 x + 57\)
For the time to hit the ground, put y = 0
\(-16x^2+119x+57=0\\\\16 x^2 - 119 x - 57 = 0 \\\\x = \frac{119\pm\sqrt{14161+3648}}{32}\\\\x = \frac{119\pm133.45}{32}\\\\t = - 0.45 s, 7.9 s\)
Time cannot be negative, so time to hit the ground is 7.9 s.
why is water a necessary element for our bodies to function properly? summarize what can happen if a person becomes dehydrated.
Answers
Aid in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating helps to regulate body temperature.
Why is water a necessary element for our bodies to function properly?Maintain a regular body temperature. Joints should be lubricated and cushioned. Safeguard your spinal cord and other delicate structures. Wastes can be eliminated by urine, sweat, and bowel motions. Dehydration can also cause a decrease in strength and stamina. It is the most common cause of heat exhaustion. At this point, you should be able to reverse dehydration by consuming extra fluids. Chronic dehydration might impair your kidney function and raise your risk of kidney stones. Water also helps with normal bowel function, muscular performance, and clean, young skin. Failure to drink enough water, on the other hand, can result in dehydration and negative symptoms such as weariness, headache, reduced immunity, and dry skin.
Here,
Assist in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating regulates body temperature.
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Giving brainlist for answering this question. Please help quick thanks.
Answers
Answer:
3m+3p+3
Step-by-step explanation:
Add and subtract
Answer:
3m + 3p + 3
Step-by-step explanation:
-2m + 4p + 5m - p + 3 =
Group like terms together:
= -2m + 5m + 4p - p + 3
Combine like terms:
= 3m + 3p + 3