Two angles are called complementaries if their sum is 90°.
So, the complement of an angle A is B, in which A + B = 90°.
Given A = 48°. Then:
\(48+B=90\)To find B, subtract 48 from both sides:
\(\begin{gathered} 48+B-48=90-48 \\ 0+B=42\degree \\ B=42\degree \end{gathered}\)Answer: The complement is 42°.
Jon made 27 stacks of long sleeved t shirts. He put 18 shirts in each stack. How many shirts did he stack in all?
Answer:
486
Step-by-step explanation:
27x18
Answer:
the answer is 486
Step-by-step explanation:
you multiply 27×18 which when done you get 486
Choose all the answers that apply. Which of the following is an example of an ion? Ar Na+ F+ Cl-
Answer:
Na+ and Cl- should be examples of an ion.
<Hope I answered your question>
Answer:
Na+ and Cl- should be examples of an ion.
Step-by-step explanation:
simplify 3 + [5n - (2-n)]
Answer:
6n+1
Step-by-step explanation:
Eliminate the parenthesis by changing the symbol of each term inside
3+[5n-2+n]
Eliminate the bracket and group similar terms
5n+n+3-2
Simplify terms
6n+1
I need help plzzzzzz
Step-by-step explanation:
160%is the answer
Find the tangent line and the normal line to the curve at the given point.
The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.
To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.
First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:
2x * (y^2) + 2y * (2xy * dy/dx) = 0
Simplifying the equation, we have:
2xy^2 + 4xy(dy/dx) = 0
Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:
2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0
Simplifying further:
8 + 8(dy/dx) = 0
8(dy/dx) = -8
dy/dx = -1
We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.
Using the point-slope form of a line, we can write the equation of the tangent line as:
y - y₁ = m(x - x₁)
Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:
y - (-2) = -1(x - (-1))
y + 2 = -1(x + 1)
y + 2 = -x - 1
y = -x - 3
Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.
To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.
Using the point-slope form of a line again, we can write the equation of the normal line as:
y - y₁ = m'(x - x₁)
Substituting the values of (-1,-2) and m' = 1 into the equation, we have:
y - (-2) = 1(x - (-1))
y + 2 = x + 1
y = x - 1
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3 1/4 pints =____ fl oz?
Answer:
52
Step-by-step explanation:
Answer:52
Step-by-step explanation:
eddie spends £2.75 on cake and £1 on groceries and has 2/3 left over how much did he start with
answer:
£11.25
explanation:
2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 44)? A. 0.025 B. 0.975 C. 0.84 D. 0.16
A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 option a) 0.025.
In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².
Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.
So in this case, we can write this as Z = (44 - 50) / 3 = -2
We have now obtained the standard score or standard deviation for the random variable X.
Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).
The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.
Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.
This probability represents the area under the standard normal distribution to the left of Z = -2.
To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.
Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.
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Let f (x) = 2x² - 8.
The quadratic functiong (x) is ƒ (x) translated 2 units down.
What is the equation for g (x) in simplest from?
Enter your answer by filling in the box.
g(x) =
Answer:
\(g(x)=2x^2-10\)
Step-by-step explanation:
The function f(x) is given by
\(f (x) = 2x^2 - 8\)
The quadratic function g(x) is obtained by translating f(x) 2 units down.
We use the below rule to find the equation for g (x)
Rule:- If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c
Here, f(x) is translated 2 units down to obtain g(x).
Hence, we have
\(g(x)=f(x)-2\)
\(g(x)=2x^2-8-2\)
\(g(x)=2x^2-10\)
Can someone help me solve this question?
Answer:
44
Step-by-step explanation:
We are given:
ab/c = 2 ---------------(1)
bc/a = 4 ---------------(2)
ac/b = 6 ---------------(3)
Multiplying (1) and (2):
ab*bc / ac = 8
b² = 8
Multiplying (2) and (3):
bc*ac/ab = 24
c² = 24
Multiplying (1) and (3):
ac*ab/bc = 12
a² = 12
Now, finding the value of a² + b² + c²:
8 + 24 + 12 = 44 (replacing the values of a² , b² and c²)
Hence, a² + b² + c² = 44
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X≤2), n=4, p=0.2
The number of trials and the probability of obtaining success will be given as P(X ≤ 2) = 0.9728.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
X \sim B(n,p)
The probability that out of n trials, there'd be x successes is given by
\(\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\)
Assume the random variable X has a binomial distribution with the given probability of obtaining success.
Then the number of trials and the probability of obtaining success will be
P(X ≤ 2), n = 4, p = 0.2
Then we get
\(\rm P(X =2) = \: ^4C_2(0.2)^2(1-0.2)^{4-2}\\\\P (X=2) = 6 \times 0.0256 \\\\P (X=2) = 0.1536\)
Then the cumulative probability will be
\(\rm P(X\leq 2) = 0.9728\)
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How many cubic feet of warehouse space are needed for 350 boxes 11in. by 8in. by 12in?
Answer:
214 cubic feet (rounded to the nearest cubic foot)
Step-by-step explanation:
Step 1 Determine the volume of 1 box
Volume of a box or rectangular prism = dimensions multiplied by each other
Here, the given dimensions are 11 in by 8 in by 12 in
So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches
Step 2 Determine volume of all 350 boxes
Volume of 1 box = 1056
So volume of all 350 boxes = 1056 x 350 = 369600 cubic in
Step 3 Convert cubic in to cubic ft
To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)
369600 / 1728 = 214 cubic feet (to the nearest cubic foot)
214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in
The sets M and F are defined as follows:
M = { a,c,f}
F = { f, g,j}
Find the intersection of M and F
\( \mathrm{M \cap F ={ \{f} \}}\)
The intersection of set M and F is {f}.
What is intersection of sets?
For any two sets, the set that contains all of common items is known as the intersection of sets. The intersection of sets is represented by the symbol "∩". The intersection A ∩B (also written as A intersection B) lists all the elements that are shared by any two sets A and B that are present in both sets.
What is the intersection of given sets?The elements in set M are a, c and f.
The elements in set F are f, g and j.
In both the sets the common element is only 1 which is f so, the intersection of both sets is {f}.
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9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?
Answer:
$2,500 or 25%
Step-by-step explanation:
Let's use the same example:
Cost of Equipment = $10,000
Useful Life = 4 years
Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100
Annual Depreciation = Cost of Equipment / Useful Life
Annual Depreciation = $10,000 / 4 years
Annual Depreciation = $2,500
Depreciation Rate = ($2,500 / $10,000) * 100
Depreciation Rate = 0.25 * 100
Depreciation Rate = 25%
pls help me giving brainless.
fever thermometer: decimeter
needle: decimeter
interstate highway:kilometer
fingernail: probably a centimeter
river: kilometer
tree trunk: meter
hope this helps.
9. PACKAGING Taylor packed a sphere inside a cubic box. He had painted the sides of the box black before putting the sphere
inside. When the sphere was later removed, he discovered that the black paint had not completely dried and there were black marks on
the sides of the sphere at the points of tangency with the sides of the box. If the black marks are used as the vertices of a polygon, what
kind of polygon results?
The polygon formed by the black marks on the sphere at the points of tangency with the box's sides is a regular hexagon.
According to the given information,
A sphere inscribed in a cube will have six points of tangency with the cube's sides placed at the vertices of a regular hexagon.
If Taylor painted the cube's sides black before inserting the sphere, the black marks on the sphere will be situated at the vertices of a regular hexagon after the sphere is withdrawn.
Since we know that,
A regular hexagon is a polygon with six equal sides and six equal angles. All of the sides and angles of a regular polygon are equal. A regular pentagon, for example, has 5 equal sides, while a regular octagon has 8 equal sides.
Hence,
The box's sides is a regular hexagon.
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You want the current field to be 0.035 if Balance field in the query is more than 10000. Else it should be 0.015. Which of the following is the correct formula? IF([Balance] >=10000, 0.015,0.035) TIF([Balance] >10000, 0.035, 0.015) TIF([Balance) >=10000, 0.035, 0.015) O IF([Balance] <=10000, 0.035, 0.015)
IF([Balance] >=10000, 0.015,0.035) is the correct formula if Balance field in the query is more than 10000. Else it should be 0.015.
What does TIF stand for?
What is TIF? Tax Increment Financing, or TIF, is a geographically targeted economic development tool. It captures the increase in property taxes, and sometimes other taxes, resulting from new development, and diverts that revenue to subsidize that developmen
We know that freezing point is a coligative property hence it depends on the number of solute particles present.
Covalent substances do not break up into ions, hence they do not produce many particles in solution unlike ionic substances. Hence, ionic substances have a far higher freezing point than covalent molecules.
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For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
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What is 10(-24)+-2 The The The The The he The The The The The The The The rjenrjwntbwjejwj jesus shejwjeu
Answer:
-242
Step-by-step explanation:
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answer:
See it like this. 2.5km in 5minutes, and one hour has 60 mins. 60/5 = 12 60 mins is (5mins*12) So if the minutes were 60, distance would be 2.5*12 = 30. He will cover 30km in 1hr(60 minutes) So his speed in 30km/hr
a rectangular field is 454 times as long as it is wide if the perimeter of the field is 540 yd what are the field dimensions
Answer:
WIDTH= 54yd, LENGTH= 216 yd
Step-by-step explanation:
Length can be denoted as L
Width can be denoted as W
From the question,
(L= 4W) ........... eqn(1)
But perimeter = [(2L + 2W)]........eqn(2)
Substitute eqn(1) into (2)
Perimeter= (8W + 2W) = 10W
From the question,
perimeter= 540 yd
540=10W
W=(540/10)= 54
W= 54 yd
Hence, WIDTH= 54yd
From equation (1) substitute W= 54 yd
(L= 4W)
L= (4×54)
L= 216 yd
Hence, LENGTH= 216 yd
The dimensions are WIDTH= 54yd, LENGTH= 216 yd
Solve for e.
9e + 4 = -5e + 14 + 13e
Answer:
e = 10
Step-by-step explanation:
In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.
9e + 4 = -5e + 14 + 13e
We can do this multiple ways, but I will show you how I would do it.
First I would subtract 4 from both sides.
9e + 4 = -5e + 14 + 13e
9e = -5e + 14 + 13e - 4
We can simplify the right side of the equation down by subtracting four from 14.
9e = -5e + 10 + 13e
Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)
-5e + 13e = 8e
9e = 8e + 10
Now we subtract algebraic expression 8e from both sides
9e - 8e = 10
All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.
9e - 8e = 10
1e = 10
or
e = 10
We have isolated e! Our final answer is e = 10
Which is equal to the cos ÐR?
PLEASE HELP ME
Answer: 4/5 = .8
cos adj/hyp of r is .8
HOWEVER...
I’m assuming it’s talking about angle R...
what is the equation of the line shown below
A y=-2/3x+1
B y=2/3x-1
C y=2x-1
D y=6x=4
The equation of the line is option (C) y = 2x - 1
First we have to choose two points
The first point = (1, 1)
The second point = (2, 3)
The slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)
Where m is the slope of the line
\((x_1,y_1)\) is the coordinates of first point
\((x_2,y_2)\) is the coordinates of the second point
Substitute the values in the equation
Slope of the line = (3-1) / (2-1)
= 2 / 1
= 2
From the graph line is intersecting on y axis at y = -1
The slope intercept form of the line
y = mx + b
where m is the slope of the line
b is the y intercept
Substitute the values
y = 2x - 1
Hence, the equation of the line is option (C) y = 2x - 1
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Which of the following statements are true regarding the reflection of A(1 1/2,-2)? Select all that apply..
The correct statements are:
A) When this point is reflected across the x-axis, the x-coordinate stays the same and the y-coordinates are opposites.C) When this point is reflected across the y-axis, the x-coordinates are opposites and the y-coordinate stays the same.D) When this point is reflected across the x-axis, the x-coordinates are opposites and the y-coordinate stays the same.How to explain the statementsWhen a point is reflected across the x-axis, the x-coordinate remains the same, but the y-coordinate changes sign. Therefore, statement A) is true.
When a point is reflected across the y-axis, the y-coordinate remains the same, but the x-coordinate changes sign. Therefore, statement C) is true.
It should be noted that to represent the reflection of point A (1,-2) across the y-axis, we flip the sign of the x-coordinate to obtain the image point A' (-1,-2). Therefore, statement D) is true.
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Enter the decimal represented by the shaded square.
The shaded square represents ___?
Answer:
I believe it's 0.3 because its 30/100 which represents 30% and 30% as a decimal is 0.3
Jane went shopping for a new bike the bike store had an electric bike originally priced at $1500 but the only said that she could have a reduction in price of the bike by 20% what is the reduced price after Jane will pay?
4 1/4 pints = how many cups
PLEASE HELPP ASAP ASAP
Answer:
9
Step-by-step explanation:
Find the unit rate 28 miles in 7 minutes is how many miles
per minute
Answer:
4 miles per minute
Step-by-step explanation:
Answer:
4 miles per minuteStep-by-step explanation:
28 miles = 4 miles per minute
7 min