Answer: B!
Step-by-step explanation: The best way to warm up before taking part in physical activity is to perform low-intensity, dynamic movements that are similar to the main type of activity that you will perform.
Answer:
D. Isometric
Step-by-step explanation:
please help me!
What is the molarity of a solution composed of 5.85g of K dissolved in 0.125L of Water? Molar Mass for Ki= 166.1g/mol.
a. .282M
b. .182M
c. .0028M
d. 3.28M
Answer:butt no ayes
Step-by-step explanation:10 is a yes is no
Rewrite the following in ∑ notation: (a) x
1
(x
1
−1)+2x
2
(x
2
−1)+3x
3
(x
3
−1) (b) a
2
(x
3
+2)+a
3
(x
4
+3)+a
4
(x
5
+4) (c)
x
1
+
x
2
1
+⋯+
x
n
1
(x
=0) (d) 1+
x
1
+
x
2
1
+⋯+
x
n
1
(x
=0)
The expressions can be rewritten in ∑ (sigma) notation as follows: (a) ∑[n=1 to 3] n* \(x_{n}\) ( \(x_{n}\) -1), (b) ∑[n=3 to 5] an( \(x_{n}\)+ n + 1), (c) ∑[n=1 to n] \(x_{n}\)/ ( \(x_{n}\)≠ 0), and (d) ∑[n=1 to n] (1 + \(x_{n}\)) / ( \(x_{n}\) ≠ 0).
In mathematics, ∑ (sigma) notation is used to represent the sum of a series of terms. In expression (a), we have a sum from n=1 to 3, where each term is given by n* \(x_{n}\) ( \(x_{n}\) -1). The index n represents the position of the term in the series, and xn denotes the value of x at each position.
In expression (b), we have a sum from n=3 to 5, where each term is given by an ( \(x_{n}\) + n + 1). Here, an represents the value of an at each position, and xn represents the value of x at each position.
In expression (c), we have a sum from n=1 to n, where each term is given by \(x_{n}\) ( \(x_{n}\) ≠ 0). Here, xn represents the value of x at each position, and the condition \(x_{n}\) ≠ 0 ensures that division by zero is avoided.
In expression (d), we have a sum from n=1 to n, where each term is given by (1 + \(x_{n}\) ) where ( \(x_{n}\) ≠ 0). Similar to (c), xn represents the value of x at each position, and condition \(x_{n}\) ≠ 0 avoids division by zero.
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Convert polar equation to the standard form of each rectangular equation: θ=-135
x - y = 0 is the standard form of the polar equation θ = -135
\(\sf \theta \ =-135\)
we should know tan(-135) is 1\(\rightarrow \sf tan(\theta) \ =tan(-135)\)
\(\rightarrow \sf tan(\theta) \ =1\)
\(\rightarrow \sf \dfrac{y}{x} \ = 1\)
\(\rightarrow \sf y =x\)
\(\rightarrow \sf x -y = 0\)
\(\\ \rm\Rrightarrow \theta=-135\)
\(\\ \rm\Rrightarrow tan\theta=tan(-135)\)
\(\\ \rm\Rrightarrow \dfrac{Perpendicular}{Base}=tan(-\dfrac{3\pi}{4})\)
Perpendicular is y and base is x\(\\ \rm\Rrightarrow \dfrac{y}{x}=1\)
\(\\ \rm\Rrightarrow y=x\)
Convert to standard form Ax+By+C=0\(\\ \rm\Rrightarrow x-y=0\)
PLEASEEE HELP
27 points
Answer:
It should be the dot in between 3.8 and 3.9.
Step-by-step explanation:
Well, the square root of 15 is approximately 3.87. So, find the dot where you think 3.87 is. It should be the dot in between 3.8 and 3.9.
Write an equation that represents the line?
Answer:
An equation that represents the line is:
y = 3/4x - 9/2
Step-by-step explanation:
The slope-intercept form of the line equation
\(y = mx+b\)
where
m is the slopeb is the y-interceptGiven the attached graph of a line.
Taking two points from the line, such as
(2, -3)(6, 0)Determining the slope between (2, -3) and (0, 6)
\(\left(x_1,\:y_1\right)=\left(2,\:-3\right),\:\left(x_2,\:y_2\right)=\left(6,\:0\right)\)
\(m=\frac{0-\left(-3\right)}{6-2}\)
refine
\(m=\frac{3}{4}\)
substituting m = 3/4 and the point (2, -3) in the slope-intercept form of the line equation
y = mx + b
\(\left(-3\right)=\frac{3}{4}\left(2\right)+b\)
\(\frac{3}{2}+b=-3\)
subtract 3/2 from both sides
\(\frac{3}{2}+b-\frac{3}{2}=-3-\frac{3}{2}\)
\(b=-\frac{9}{2}\)
now substituting b = -9/2 and m = 3/4 in the slope-intercept form of the line equation
y = mx + b
y = 3/4x + (-9/2)
Therefore, an equation that represents the line is:
y = 3/4x - 9/2
The table shows the average fuel mileage of Car 1. The graph
shows the average fuel mileage of Car 2. Based on the data,
which car will go farther on 25 gallons of fuel?
A) Car 1 will go farther.
B) Car 2 will go farther.
C) Both cars will travel the same distance.
Using the graph and the table given: A) Car 1 will go farther.
How to Analyze a Graph and Table of a Relationship?In the image given, the table represents the relationship between amount of fuel (x) and distance covered (y) for car 1, while the graph shows that for car 2.
Using any point on the table, (10, 370), find the unit rate for car 1:
Unit rate for car 1 = 370/10 = 37 miles per gallon.
Therefore, for 25 gallons, we would have:
37 × 25 = 925 miles
Car 1 will go 925 miles.
Using any point on the graph, (2, 52), find the unit rate for car 2:
Unit rate for car 2 = 52/2 = 26 miles per gallon.
Therefore, for 25 gallons, we would have:
26 × 25 = 650 miles
Car 2 will go 650 miles.
In conclusion, Car 1 will go farther
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! HELP PLEASE !
(Willing to give 80 points)
you're opening a widget selling business and want to know what you should sell each widget for. Your research has found that if you make the price “x”, your total sales will be S(x)=-200x^2 + 70,000x. Also when the price is “x”, the total cost will be C(x)=-22,000x + 8,375,000. Find the price which makes the total sales and total cost equal. Then find the corresponding cost.
Answer:
use a calulator it can help
Step-by-step explanation:
.
Solving Exponential and Logarithmic Equationsd.
1. Find the solution of each equation, correct to three decimal places.
a) 4^3x-5 = 16 b. 3e^x = 10 c. 5^2x - 1 = 20
d. 2^x+1 = 5^2x e. 28^x = 10^-3x f. e^x + e^-x = 5
The solution of each equation
a) x = 0.571
b) x = 1.405
c) x = 1.579
d) x = 1.152
e) x = -1.245
f) x = 1.324
What are the solutions to the given exponential and logarithmic equations?Exponential and logarithmic equations can be solved by applying the appropriate rules and properties of exponential and logarithmic functions.
The solutions to the given equations are as follows:
a) The solution to \(4^{(3x-5)\) = 16 is x = 0.571. This is found by expressing both sides with the same base and solving for x.
b) The solution to \(3e^x\) = 10 is x = 1.405. By isolating the exponential term and applying logarithmic functions, we can solve for x.
c) For \(5^{(2x - 1)\) = 20, the solution is x = 1.579. Similar to the previous equation, logarithmic functions are used to solve for x.
d) The solution to \(2^{(x+1)} = 5^{(2x)\) is x = 1.152. Again, logarithmic functions are employed to solve for x.
e) In \(28^x = 10^{(-3x)\), the solution is x = -1.245. By equating the exponential terms with the same base, we can solve for x.
f) The solution to \(e^x + e^{(-x)\) = 5 is x = 1.324. This equation can be solved by recognizing it as a quadratic form.
Exponential and logarithmic equations can be solved using various techniques, such as expressing both sides with the same base, applying logarithmic functions, or recognizing quadratic forms.
These methods enable finding the values of x that satisfy the given equations. Understanding the properties and rules of exponential and logarithmic functions is crucial in effectively solving such equations.
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Suppose we predicted that where students sit in a classroom affects their grades. In this example, where students sit is best described as a:.
In the example given, where students sit in a classroom that affects their grades can best be described as a: variable.
What is a Variable?A variable, in mathematics, can be defined as quantity that can be measured which represents a set of data item such as, capital expenditure, class grades, age of students etc., location, which can change.
Therefore, in the example given, where students sit in a classroom that affects their grades can best be described as a: variable.
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can someone help me with is
Answer:
what is that thing? where is the question
during the last year the value of your house decreased by 20%. if the value of your house is $184,000 today, what was the value of your house last year? round your answer to the nearest cent, if necessary .
Answer:
The last year value of the house will be $230,000.
Step-by-step explanation:
GIVEN: Decrease in house price = 20%
Current house price = $184,000
TO FIND: Value of the house last year
SOLUTION:
If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.
Let the value of the house last year be 'x'.
If the value of the house today is $184,000, then:
\(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)
Therefore, the last year value of the house will be $230,000.
A rectangular hotel room is 4 yards by 8 yards. The owner of the hotel wants to recarpet the room with carpet that costs $23.00 per square yard. How much will it cost to recarpet the room?
$_____
Answer:
$736.00
Step-by-step explanation:
4x8=32
32=area of hotel room in yards.
$23 x 32 yards=736
It would cost $736 to re carpet the room.
Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately click fraud, the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue, has become a problem. Forty percent of advertisers claim they have been a victim of click fraud. Suppose a random sample of 380 advertisers will be taken to learn more about how they are affected. What is the probability that the sample proportion will be with 0.04 of the population proportion?
Answer:
The probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.
Step-by-step explanation:
Let p = proportion of advertisers who claim they have been a victim of click fraud.
The population proportion is, p = 0.40.
A random sample of 380 advertisers is selected.
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
\(\mu_{\hat p}=p\)
The standard deviation of this sampling distribution of sample proportion is:
\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)
The sample selected is too large, i.e. n = 380 > 30.
Then the proportion of advertisers who claim they have been a victim of click fraud can be approximated by the normal distribution.
The mean and standard deviation of this sampling distribution of sample proportion is:
\(\mu_{\hat p}=p=0.40\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{380}}=0.025\)
Compute the probability that the sample proportion will be with 0.04 of the population proportion as follows:
\(P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.025}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.04}{0.025})\)
\(=P(-1.60<Z<1.60)\\=P(Z<1.60)-P(Z<-1.60)\\=0.94520-0.05480\\=0.8904\)
Thus, the probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.
On average, Caryl's school bus arrives on time, although sometimes it is a bit early or late. If the arrival times are distributed on a normal curve, which of the following statistics would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day?
a. median
b. mean
c. standard deviation
d. correlation coefficient
If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.
The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.
The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.
Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.
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Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve? 00= 6x â 2 O14-1 +9= 0 OV= 90 â 1 â 2 O V27 + 6x = 2
Kristen is attempting to solve the equation \(0=\sqrt{6x}-x\). Hence, option b. is the correct answer.
A radical equation has no solution if the square root of a negative number is involved in the equation. The left-hand side of equation b, √(6x), is always non-negative. But the right-hand side, -x, can be negative. So, there is no value of x that can satisfy the equation.
In other words, there is no real number x that would make the left-hand side equal to the right-hand side, so equation b has no solution.
Hence, Kristen is attempting to solve equation 0 = √(6x) - x.
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The complete question is -
Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve?
a. \(\sqrt{27+6x} =x\)
b. \(0=\sqrt{6x}-x\)
c. \(\sqrt{4-x}+9=0\)
d. \(\sqrt{\frac{x}{8}} = \sqrt{90-x}\)
a conical water tank with vertex down has a radius of 12 feet at the top and is 26 feet high. if water flows into the tank at a rate of 10 ft3/min, how fast is the depth of the water increasing when the water is 13 feet deep?
The depth of the water increasing when the water is 13 feet deep is approximately 1.68 feet per minutes.
We know that the conical water tank has a radius of 12 feet and is 26 feet high.
We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:
\(\frac{dV}{dt} = \frac{10 ft^3}{min}\)
We want to find how fast the depth of the water is increasing when the water is 13 feet deep. So, we want to find dh/ dt.
First, remember that the volume for a cone is given by the formula:
V = 1/3 π r² h
We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.
We can see that we have two similar triangles. So, we can write the following proportion:
\(\frac{r}{h} = \frac{12}{36}\)
Multiply both sides by h:
⇒ \(r = \frac{12}{36} h\)
So, let's substitute this in r:
\(V = \frac{1}{3} \pi \frac{12}{36} h^{2} h\)
Square:
\(V = \frac{1}{3} \pi \frac{144}{3888} (h^{2} ) h\)
Simplify:
\(V = \frac{144}{3888} \pi h^{2}\)
Now, let's take the derivative of both sides with respect to t:
\(\frac{d}{dt} (V) = \frac{d}{dt} [\frac{144}{3888} ] \pi h^{3}\)
Simplify:
\(\frac{dV}{dt} =\frac{144}{3888} \pi (3h^{2} ) \frac{dh}{dt}\)
We want to find dh/dt when the water is 13 feet deep. So, let's substitute 13 for h. Also, let's substitute 10 for dV/dt. This yields:
\(10 = \frac{144}{3888} \pi (3(13^{2} ) \frac{dh}{dt}\)
\(10 = \frac{144}{3888} \pi (507) \frac{dh}{dt}\)
\(10 = \frac{73008}{3888} \pi \frac{dh}{dt}\)
\(38880 = 73008 \pi \frac{dh}{dt}\)
\(\frac{dh}{dt} = \frac{38880}{73008} \pi\)
\(\frac{dh}{dt} = \frac{38880}{73008} X\frac{22}{7}\)
≈ 1.6737109 feet / min
The water is rising at a rate of approximately 1.68 feet per minute.
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in order to receive a certificate of completion for this drivers education course, you need not have reach 30 hours of course review time. as long as you read through the whole course and pass the final exam you will be sent your certificate of completion in the mail. if you do not reach 30 hours, you will not be penalized.
To receive a certificate of completion for this driver's education course, you do not need to reach 30 hours of course review time. As long as you read through the entire course material and pass the final exam, you will be eligible to receive the certificate in the mail. It's important to note that not reaching 30 hours will not result in any penalties.
To summarize the steps to receive the certificate:
1. Read through the entire course material thoroughly.
2. Ensure you understand the content and concepts covered.
3. Prepare for the final exam by reviewing the material.
4. Take the final exam and aim to pass it.
5. If you pass the exam, you will be eligible to receive the certificate of completion in the mail.
Remember, the key requirements are reading through the course material and passing the final exam. Reaching 30 hours of course review time is not mandatory.
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Adding and subtracting polynomials
Answer:
The expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 21
Step-by-step explanation:
The perimeter is the sum of all side lengths for a 2d shape, such as this triangle. Our perimeter is thus
4x² - 3 + 4x² - 2 + 4x² - 1
We can then separate our variables and constants to make it
4x² + 4x² + 4x² - 3 - 2 - 1
Add the constants to get
4x²+4x²+4x² - 6
To add variables, we must first make sure that they are the same variable/letter as well as to the same degree. The coefficient only affects the result. Because all of our variables are the same letter (x) and are all to the second degree, we can add them. To do this, we simply add the coefficients together to make one big coefficient, and multiply that by the variable. Thus,
4x² + 4x² + 4x² = (4+4+4)x² = 12x²
4x²+4x²+4x² - 6 = 12x² - 6
Another way of looking at it is that 4x² = 4(x²) = x²+x²+x²+x²
Therefore, the expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 12 * 1.5² - 6 = 21
=
Let f(x) = 3x + 8, g(x) = 2x -12
and h(x) = -4x
=
1a) f + g =
1b) f-g=
2b) g*f=
2b) g-f=
Answer:
it's the 2nd one
Step-by-step explanation:
yeah it's the 2one
How do you calculate F G and G of f?
You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).
What is function ?
A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.
Have given ,
Two functions , f(x) and g(x)
The composition of two functions g and f is the new function we get by performing f first, and then performing g. For example, if we let f be the function given by f(x) = x2 and let g be the function given by g(x) = x + 3, then the composition of g with f is called gf and is worked out as gf(x) = g(f(x)) .
So , You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).
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A rectangular television's length is 3 inches more than twice its width. The
perimeter of the television is 144 inches. What is the width of the television?
Answer:
49
Step-by-step explanation:
so if you look at it you have to think which numbers will equal 144 and 23 plus 49 plus 3 is the answer
Find the measure of each angle indicated. Round to the nearest tenth.
A) 65.20
C) 55.1°
B) 51°
D) 55.70
Answer:
51
Step-by-step explanation:
=====================================================
The reference angle has AC = 12.3 as the opposite side and BC = 8.4 as the adjacent side. The tangent ratio ties the opposite and adjacent sides together.
--------
tan(angle) = opposite/adjacent
tan(theta) = AC/BC
tan(theta) = 12.3/8.4
theta = arctan(12.3/8.4)
theta = 55.6697828044967
theta = 55.7 degrees approximately
--------
arctan is the same as inverse tangent which is written as \(\tan^{-1}\)
make sure your calculator is in degree mode
The blank is the number that tell how many times a base number is used as a factor
Answer:
exponent
Step-by-step explanation:
can anyone please help me ASAP?I have included a picture.
Answer:
\( Formula\: v =\frac{s}{t} \\\\
v = 60\: mph\)
Step-by-step explanation:
Formula:
\(v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph\)
Answer:
see explanation
Step-by-step explanation:
The formula for v is
v = \(\frac{s}{t}\)
When t = 3 and s = 180 , then
v = \(\frac{180}{3}\) = 60 mph
Multiply the polynomial (X+3)(x^2-2x+4) box method
Answer:
x^3+12-2x
Step-by-step explanation:
x^2.x=x^3
4.3=12
Sobra -2x
if you have to pay 4125 per semester how much do you have to pay to attend a four-year College
1 semester $4125
In a year we have 2 semesters
In 4 years we 2(4)=8 semesters
So we need to multiplicate $4125 by 8
4125 * 8 =33000
You need to pay $33000 to attend a four- year college
Answer: 3 años
Step-by-step explanation:
por que si
Are the number of telephone numbers within a particular area code determined by permutations, combinations, both, or neither? Are there any restrictions? Explain your answer with details.
Answer:
Phone numbers are an example of permutations. In the United States, each phone number consists of ten digits, three for the area code and seven for the unique phone number. (There is also a "1" preceding each phone number to indicate that the first three digits are the area code.)
Step-by-step explanation:
with the radius of 2 Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for it. The volume of the sphere is about in?
Answer:
Solution given:
radius[r]=2in
π=3.14
we have
volume of sphere=\( \frac{4}{3} \pi {r}^{3} \)=\( \frac{4}{3} ×3.14× {2}^{3} \)=33.5in³is your answer.
Let's see
V=4/3πr³V=4/3π(2)³V=4/3π(8)V=32π/333.5in³Use the Distributive Property to write an expression that is
equivalent to 4(y - 3).
Answer:
4y-12
Step-by-step explanation:
To multiply a sum (or difference) by a factor, each summand (or minuend and subtrahend) is multiplied by this factor and the resulting products are added (or subtracted).
If the operation outside the parentheses (in this case, the multiplication) is commutative, then left-distributivity implies right-distributivity and vice versa, and one talks simply of distributivity.
The equivalent value of the expression is A = 4y - 12
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4 ( y - 3)
On simplifying the equation , we get
A = 4 ( y - 3 )
So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )
Opening the parenthesis on both sides , we get
A = 4 ( y - 3 )
Using the distributive property , we get
A = 4 ( y ) - 4 ( 3 )
On further simplification , we get
A = 4y - 12
Taking the common factor as 4 , we get
A = 4 ( y - 3 ) = 4y - 12
Therefore , the value of A = 4y - 12
Hence , the expression is A = 4y - 12
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Help anyone can help me do this question 1,I will mark brainlest.
Answer:
The correct answer of this question is 2
Answer: 2 people
Step-by-step explanation:
Since 25 both do english and B.M, subtract 25 from any one of them
53 - 25 = 28
Now, add 28 it to the one that we didn't subtract, 50
28 + 50 = 78
Now, subtract the total, 80 from 78
80 - 78 = 2
∴ 2 people haven't done any tuition