Answer:
1200cm
Step-by-step explanation:
Given data
We know that 1meter is equivalent to 100cm
i,.e 1*100
so, if height is 1.2meters
Height in centimeters is 1.2*100
Hence height in centimeters is 1200cm
23) Tim earned $16. 50 per hour tutoring last month. He wants to earn at most $313. 50 so he can buy a new DVD player, Write and solve an inequality to represent how many hours, h, Tim needs to tutor to afford his new DVD player. Also, graph the inequality
Tim needs to tutor for at most 19 hours to afford his new DVD player the inequality is h ≤ 19
Let's denote the number of hours Tim needs to tutor as h.
Tim earns $16.50 per hour tutoring.
Tim wants to earn at most $313.50 to afford a new DVD player.
We can set up an inequality to represent the number of hours Tim needs to tutor in order to afford the DVD player:
16.50h ≤ 313.50
This inequality states that the total amount earned (16.50h) must be less than or equal to $313.50.
To solve the inequality for h, we can divide both sides by 16.50:
h ≤ 313.50 / 16.50
Simplifying the right side:
h ≤ 19
Therefore, Tim needs to tutor for at most 19 hours to afford his new DVD player.
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Tim needs to tutor at most 19 hours to afford his new DVD player.
Given information is:
Tim earned $16.50 per hour tutoring last month.
Tim wants to earn at most $313.50 so he can buy a new DVD player.
To find:
Write and solve an inequality to represent how many hours, h, Tim needs to tutor to afford his new DVD player.
Also, graph the inequality.
Solution:
Let "h" be the number of hours Tim needs to tutor to afford his new DVD player.
Then, his total earnings would be:
16.5h <= 313.5
[As Tim wants to earn at most $313.50, which is less than or equal to $16.50 per hour, h]
Now, we will solve for "h":
Divide both sides by 16.5h <= 313.5 / 16.5h <= 19
Thus, Tim needs to tutor at most 19 hours to afford his new DVD player.
Now, let's graph the inequality:
To graph the inequality, we will draw a horizontal line at "h = 19" as it is the maximum number of hours Tim can tutor. Then, we shade the area left to the line as it represents the solutions that are less than 19.
The inequality will look like this:
Graph of 16.5h ≤ 313.5, where "h" represents the number of hours Tim needs to tutor to afford his new DVD player.
The graph shows that Tim can afford his new DVD player if he tutors for at most 19 hours.
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which characteristic allows a gas to be compressed
Answer:
"Gases are compressible because most of the volume of a gas is composed of the large amounts of empty space between the gas particles. At room temperature and standard pressure, the average distance between gas molecules is about ten times the diameter of the molecules themselves."
Step-by-step explanation:
Found information on Compressibility | CK-12 Foundation website
The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. how many times smaller is the bacterial cell than the amoeba cell? write the final answer in scientific notation with the correct number of significant digits. 1.4 x 101 7 x 101 143 x 101 7 x 103
The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
What are scientific notations?
Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.
Calculation of the amount by which a bacterial cell is smaller than the amoeba cell
Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)
The length of a bacterial cell in scientific notations is 5 × 10^(- 6)
To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.
= 3.5 × 10^(- 4) / 5 × 10^(- 6)
= 0.7 × 10^(2)
= 7 × 10^(1)
Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
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FILL THE BLANK.
-If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the _____ level.
nominal
ratio
ordinal
interval
If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the nominal level.
What is the nominal level of measurement?The nominal level of measurement is the least strict type of data measurement in which the measurements or observations are grouped into distinct categories without a specific order or value structure. At this stage of measurement, variables are defined as categorical because the groups and categories can only be counted, which is usually done using frequencies and proportions.
The nominal level of measurement can take the form of either binary or multichotomous. Binary variables have only two groups, while multichotomous variables have more than two groups. Variables that are frequently used in this level of measurement include gender, race, or political affiliations.
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To get the standard deviation of the sampling distribution for a proportion, we divide by the sample size (n). Describe how dividing by the sample size influences the spread when samples sizes are high vs. when they are low.
Answer:
Step-by-step explanation:
copy and paste i made a video for you
Find m, so that (-3) m+1 × (-3)5 = (-3)7
The equivalent value of m is given by the expression m = 1
Given data ,
We can use the properties of exponents to solve this problem. Specifically, when we multiply two powers with the same base, we add their exponents.
So, we have:
(-3)^(m+1) × (-3)⁵ = (-3)⁷
Using the property of exponents, we can add the exponents on the left-hand side:
(-3)^(m+1+5) = (-3)⁷
Simplifying the exponents on the left-hand side:
(-3)^(m+6) = (-3)⁷
We know that two powers with the same base are equal if and only if their exponents are equal. So, we can set the exponents equal to each other:
m + 6 = 7
Subtracting 6 from both sides:
m = 1
Hence , m = 1 is the value that satisfies the equation
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solve by substitution 5x+2y=18 2x+3y=16
Answer:
Just use calculators, the answer will be (x;y) =(2;4)
Step-by-step explanation:
We have: 5x+2y=18 (1) and 2x+3y=16 (2)
From (1) we can make it into: x= (18-2y)/5 and replace into (2) we have:
2(18-2y)/5+3y=16 <=> 36-4y+15y=80 <=> 11y=44 <=> y=4
Then use y=4 for (1) or (2) we will find x=2
Final, the answer will be x=2 ; y=4
Question Answer O A True O B False Question Answer O A True O B False Question Answer OA O B True False Using logarithmic differentiation we obtain that the derivative of the function y = x2x² satisfies the equation y = 4x log x + 2x. y Using logarithmic differentiation we obtain that the derivative of the function (1+x²)2 (1 + sin x)² y= 1-x² satisfies the equation 4x 2cos x 2x -= + y 1 + x² 1 + sin x 1-x² Given two complex numbers z=3-1 and w=3+ the product z2w equals 30-10%. Y'
In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.
In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.
In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².
In the third question, the product z²w is calculated correctly as 30-10%.
It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.
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Harley rides her bicycle the same distance every day for 4 days. The total distance she rides is 814 miles. How many miles does she ride each day?
Answer:
203.5
Step-by-step explanation:
just divide 814 by 4
Answer:
203.5 miles per day
Step-by-step explanation:
divide 814 by 4= 203.5
Dakota earned $10.50 in interest in Account A and $35.00 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and 5% for Account B, which account has the greater principal? Explain. Which account has the greater principal? Select the correct answer below and fill in the answer boxes to complete your choice.
Account B has more money than account A. Then account that has the greater principal will be account B.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Dakota procured $10.50 in revenue in Record An and $35.00 in revenue in Record B following 21 months. In the event that the straightforward financing cost is 3% for Record An and 5% for Record B.
Then the account has the greater principal will be given as,
10.50 = [P₁ x 3 x (21/12)] / 100
1050 = 5.25P₁
P₁ = $200
35 = [P₂ x 5 x (21/12)] / 100
3500 = 8.75P₂
P₂ = $400
Account B has more money than account A. Then account that has the greater principal will be account B.
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Bob wants to estimate the percentage of people who own a dog in his town, and he goes to all the apartment buildings to carry out his survey. He leaves out all the houses in the town. What kind of bias is this?Nonresponse biasResponse biasBias due to undercoverage
Correct option is Bias due to undercoverage, The given bias is Bias due to undercoverage.
Describe bias.Simply put, bias is when a person or organisation supports or rejects something, a person, or a concept. For instance, some news outlets could be biassed. While some may show bias in favour of a particular political candidate, others broadcast neutral information and let the people to their own conclusions.
Statistical bias: What Is It?Anything that causes a systematic discrepancy between the statistics used to estimate a population's true parameters and those statistics itself is considered to be statistical bias.
Information bias, selection bias, and confounding are the three categories of bias that can be distinguished. Various examples are used to discuss these three different types of prejudice as well as possible solutions.
By doing survey Bob, He concluded that Bias is due to undercoverage.
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Please can someone help me?
Answer:
Step-by-step explanation:
Which of the following number lines shows the correct sum of the number above and -5/2?
A.
B.
C.
D.
This is Evaluating Functions.Replace the X values with the number in the question ("Find f( )" )
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Isoke is solving the quadratic equation by completing the square. 10x2 40x-13=0 10x2 40x=13 a(x2 4x)=13
The value of a is 10 by solving the quadratic equation by completing the square method.
In this question,
Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. It is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)^2 + k.
The quadratic equation is
10x^2 + 40x - 13 = 0
Solving the quadratic equation by completing the square as
Step 1:
10x^2 + 40x = 13
Step 2:
10(x^2 + 4x) = 13
Thus on comparing the step 2 with the equation a(x^2 + 4x) = 13, the value of a is 10.
Hence we can conclude that the value of a is 10 by solving the quadratic equation by completing the square method.
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STEM The average temperature on the planet Neptune is –214 °C. The
temperature on the south pole of Neptune is thought to be 10 °C. Is this
colder or warmer than the average temperature? Write an inequality to
support your answer.
Which is colder??
Suppose that f(1) = 4, f(4) = 8, f '(1) = 7, f '(4) = 3, and f '' is continuous. find the value of 4 xf ''(x) dx 1 .
It looks like you want to find
\(\displaystyle \int_1^4 x f''(x) \, dx\)
Integrate by parts:
\(u = x \implies du = dx\)
\(dv = f''(x) \, dx \implies v = f'(x)\)
Then
\(\displaystyle \int_1^4 x f''(x) \, dx = x f'(x) \bigg|_{x=1}^{x=4} - \int_1^4 f'(x) \, dx\)
By the fundamental theorem of calculus,
\(\displaystyle \int_1^4 f'(x) \, dx = f(4) - f(1)\)
so that
\(\displaystyle \int_1^4 x f''(x) \, dx = 4 f'(4) - f'(1) - f(4) + f(1) = 12 - 7 - 8 + 4 = \boxed{1}\)
which inequality is true if x= 16?
options are in the photo.
Answer:
D. x/2>5
Step-by-step explanation:
16+5<20 is false
0.5*16 >= 9 is false
16/4<3 is false
16/2>5 is true
An angle in standard position measures 5pie/8 radians.
In which quadrant does the terminal side of this angle lie?
O Quadrant I
O Quadrant II
O Quadrant III
O Quadrant IV
Answer:
Step-by-step explanation:
It's easier to convert the angle into degrees.
5π/8 ≅ 112.5°, which is in quadrant II
What is the remainder of 6x17
Answer:
102
Step-by-step explanation:
Answer:
there is no remainder
Step-by-step explanation:
Consider the following definite integral.sxex²+1d'dx0Identify the definite integral that will result after making a u-substitution.
The first choice is the correct result
find the particular solution of the differential equation that satisfies the initial condition(s). f '(s)
Particular solution of the differential equation that satisfies the initial condition f'(s) = 10s - 4s³ , f(3) = 5 is f(s) = 5s² - s⁴ + 41.
We determine the particular solution to the differential equation. We do this by integrating the given differential equation and then applying the given initial condition. The power rule should be used for the given expression.
\(\int\ {x^{a} } \, dx\) = \(\frac{x^{a+1} }{a+1} }\)
we have given that,
f'(s) = 10s - 4s³
f(s) = ∫ f'(s)ds
= ∫(10s - 4s³)ds
= \(\frac{10s^{2} }{2} - \frac{4s^{2} }{4}+ C\)
f(s) = 5s² - s⁴ + C
Now we will apply the initial condition,
f(3) = 5
⇒5(3)² - (3)⁴ + C =5
-36 + C = 5
C =41
Therefore the solution is expressed as,
f(s) = 5s² - s⁴ + 41
This is the particular solution.
Given question is incomplete. Complete question is given as:
find the particular solution of the differential equation that satisfies the initial condition(s). f '(s) = 10s - 4s³, f(3) = 5.
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Order the sides of each triangle from shortest to longest.
Answer:
XV , WX , VW
Step-by-step explanation:
The angles in a triangle correspond, regarding size, with their opposite side lengths. More specifically the largest angle in a triangle is opposite of the longest side as well as the smallest angle being opposite from the shortest side.
the largest angle ( angle X ) is opposite of side length WV therefore WV is the longest side.
The smallest angle ( angle W ) is opposite of side XV therefore side XV is the smallest side
We're then left with side WX which would be the medium lengthed side.
So in order from shortest to longest it would be XV , WX , VW
how do i solve tan 6° = f/2.3
The solution of the equation tan 6° = f/2.3 up to two decimal places will be 0.24.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The trigonometric equation is given below.
tan 6° = f/2.3
We know that the value of tan 6° will be 0.105. Then the equation will be
0.105 = f / 2.3
Simplify the equation, then the value of the variable f will be
0.105 = f / 2.3
f = 0.105 x 2.3
f = 0.2417
f ≈ 0.24
The solution of the equation tan 6° = f/2.3 up to two decimal places will be 0.24.
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The net below can be folded to make a 3-dimensional shape. What is the surface area of the shape?
30 cm
31 cm
60 cm
62 cm
Trapezoid RSTU with vertices R(-13, 7), S(-1, 7), T(-1, -5),
and U(-13,-9); scale factor: k = 1/4,
center of dilation: (-5, 3)
The coordinates of the trapezoid RSTU with vertices R(-13, 7), S(-1, 7), T(-1, -5), and U(-13,-9) after dilation with scale factor of k= 1/4 are
R' (-7, -2) S' (-4, -2) T' (-4, -2.5)U' (-7, -6) How to determine the coordinates of the image after dilationData gotten from the question
Trapezoid RSTU with vertices R(-13, 7), S(-1, 7), T(-1, -5) U(-13,-9)scale factor: k = 1/4center of dilation: (-5, 3)Dilation refers to an increment or reduction in dimension and location of a preimage to get a new image
The coordinate of the image of dilation is gotten using the formula
x₂ = kx₁ - x₀(k - 1) for x coordinate
y₂ = ky₁ - y₀(k - 1) for y coordinate
definition of terms
terms with subscript 2 is corresponding to the image
terms with subscript 1 is corresponding to the preimage
terms with subscript 0 is corresponding to the center of dilation
\k = scale factor
R(-13, 7) ⇒ R'(-7, -2)
x₂ = 1/4 * -13 - -5(1/4 - 1) = -7
y₂ = 1/4 * 7 - -5(1/4 - 1) = -2
S(-1, 7) ⇒ S' (-4, -2)
x₂ = 1/4 * -1 - -5(1/4 - 1) = -4
y₂ = 1/4 * 7 - -5(1/4 - 1) = -2
T(-1, -5) ⇒ T' (-4, -2.5)
x₂ = 1/4 * -1 - -5(1/4 - 1) = -4
y₂ = 1/4 * -5 - -5(1/4 - 1) = -2.5
U(-13,-9) ⇒ U' (-7, -6)
x₂ = 1/4 * -13 - -5(1/4 - 1) = -7
y₂ = 1/4 * -9 - -5(1/4 - 1) = -6
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1( If a company's expenses for a month are $35,000 and they earn a profit of $101 550 what was the company's total amount of income?
2( Why was it helpful to solve i first when solving the problem
The company's total amount of income that is earned is $136,500.
What is the total income?Profit is the difference between revenue and expenses. Income is the total revenue that is earned by a company before any deductions. Expenses include all the cost incurred in running a business. Income is the sum of profit and expenses. A venture is profitable only if the revenue is greater than expenses.
Profit = income - expenses
Income = profit + expenses
$35,000 + 101,500 = $136,500
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3 eighths as a decimal?
Answer:
0.375
Step-by-step explanation:
You mean 3/8 right?
3/8=0.375
Answer:
0.375
Step-by-step explanation:
(✿◡‿◡) <-- she wants brainliest
Qd=95−4P
Qs=5+P
a. What is Qd if P=5 ? b. What is P if Qs=20 ? β=9 c. If Qd=Qs, solve for P.
P = 90 is the solution for the given equation.
Given: Qd=95−4
PQs=5+P
To find Qd if P=5:
Put P = 5 in the equation
Qd=95−4P
Qd = 95 - 4 x 5
Qd = 75
So, Qd = 75.
To find P if Qs = 20:
Put Qs = 20 in the equation
Qs = 5 + PP
= Qs - 5P
= 20 - 5P
= 15
So, P = 15.
To solve Qd=Qs, substitute Qd and Qs with their respective values.
Qd = Qs
95 - 4P = 5 + P
Subtract P from both sides.
95 - 4P - P = 5
Add 4P to both sides.
95 - P = 5
Subtract 95 from both sides.
- P = - 90
Divide both sides by - 1.
P = 90
Thus, P = 90 is the solution for the given equation.
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Determine the number of possible solutions for a triangle with A= 30 a=20 and b=16
A. 0
B. 1
C. 2
D. 3
which means there are two possible solutions for a triangle with A=30, a=20, and b=16.
To determine the number of possible solutions, we can use the law of sines, which states that a/sin(A) = b/sin(B) = c/sin(C). Rearranging this formula, we get sin(A)/a = sin(B)/b = sin(C)/c.
Using this formula, we can solve for the two possible values of angle B, which will give us the two possible solutions for the triangle.
First, we can solve for sin(B) using sin(A)/a = sin(B)/b. Plugging in the values given, we get sin(B) = (20/16)sin(30) = 0.625. We can use the inverse sine function to find the two possible values of angle B: B = sin^-1(0.625) = 38.7 degrees or B = 180 - sin^-1(0.625) = 141.3 degrees.
Since a triangle cannot have an angle greater than 180 degrees, the second solution is not possible. Therefore, there is only one possible value of angle B, which means there are two possible solutions for the triangle (since the third angle will be 180 - 30 - B = 111.3 degrees in both cases).
The correct answer is C, which means there are two possible solutions for a triangle with A=30, a=20, and b=16.
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