Answer:
S = 15
That the answer :) .
Answer:
s=90°
Step-by-step explanation:
a triangle always gives 180°, so 180°-(47°+43°)= 180°-90=90°
s=90°
hope this helps
At Anthony's school, 260 of the 500 students are girls. At Theresa's school, 360 of the 600 students are girls. Whose school has the greater percent of girls.
Answer:
Theresa school has greater % of girls
Step-by-step explanation:
Given
Number of girl in the Anthony school = 260
Total student in Anthony school = 500
% of girl in the Anthony school = 260/500 * 100 = 52 %
Number of girl in the Theresa school = 360
Total student in Theresa school = 600
% of girl in the Theresa school = 360/600 * 100 = 60%
Theresa school has greater % of girls
Eli is now one quarter of his father's age. In 5 years time his age will be one third of his father's age. How old is Eli now
Answer:
20 years old
Step-by-step explanation:
The age of Eli would be 20 years old
What is a numerical expression?A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
Consider E and F represent Eli and his Father's current ages.
We are told that E = (1/4)F.
Eli is now one quarter of his father’s age.
But in 5 years, that will be:
(E+5) = (1/3)(F+5)
In 5 years’ time his age will be one third of his father’s age.
We have two equations and two unknowns.
To Find a way to eliminate one of the two variables and then solve for the remaining variable.
E = (1/4)F
(E+5) = (1/3)(F+5)
This seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:
(E+5) = (1/3)(F+5)
((1/4)F+5) = (1/3)(F+5)
(1/4)F - (1/3)F = (1/3)*5 - 5
F - (4/3)F = (4/3)*5 - 20
-(1/3)F = (20/3) - (60/3)
-(1/3)F = (-40/3)
F = (120/3)
F = 40 years
E = 10 years (based on E = (1/4)F)
In five years, F is 45 and E is 15, that would make Eli 1/3 of his father's age in 5 years.
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Emma is standing 20 yards from a billboard as shown. The bottom of the billboard (B) 6 yards above the
ground, and the top (T) is 10 yards above the ground. What elevation angles might Emma use in order to read
messages on the billboard? Select all that apply.
T
B
MILIE
-20 yards
Emma
The elevation angles that Emma might use to read messages on the billboard are angle A (to see the top of the billboard) and angle B (to see the bottom of the billboard).
In order to determine the elevation angles Emma might use to read messages on the billboard, we need to consider the triangle formed by Emma, the bottom of the billboard (B), and the top of the billboard (T).
Let's label the elevation angle from Emma to the top of the billboard as angle A and the elevation angle from Emma to the bottom of the billboard as angle B.
From the given information, we know that the distance between Emma and the billboard is 20 yards, the bottom of the billboard is 6 yards above the ground, and the top of the billboard is 10 yards above the ground.
Now, let's analyze the possible scenarios:
If Emma's line of sight is parallel to the ground, there will be no elevation angle. This means she will be looking straight ahead and not looking up or down. Therefore, neither angle A nor angle B will be applicable.
If Emma's line of sight is directed toward the top of the billboard, angle A will be the elevation angle. In this case, she will be looking upward, aiming to see the messages at the top of the billboard. Angle B will not be applicable in this scenario.
If Emma's line of sight is directed toward the bottom of the billboard, angle B will be the elevation angle. Here, she will be looking downward, aiming to see the messages at the bottom of the billboard. Angle A will not be applicable in this scenario.
Therefore, the elevation angles that Emma might use to read messages on the billboard are angle A (to see the top of the billboard) and angle B (to see the bottom of the billboard).
Regarding the options provided, "T" represents the top of the billboard, "B" represents the bottom of the billboard, "MILIE" seems unrelated to the question, and "-20 yards" is not a valid elevation angle.
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There is £80 in a pot which is shared out amongst 3 people. Anne gets £20 Mark gets £35 and Ben gets £25. What ratio of the money do all of the people get?
Darren has just unplugged his fridge so it can defrost. Thefreezer is at 17 degrees and warms up at 11 degrees an hour.The fridge part is at 23 degrees and rises 8 degrees per hour.How many hours will it take for both the fridge and thefreezer to be the same temperature? What is thetemperature change in that time span?
Answer:
im not sure
Step-by-step explanation:
wish i could help!! :((
bUT THANKS for the pointssssssss
Answer:
they intercept at (2,39)
Step-by-step explanation:
so, the starting point is the y int, and the rate it warms up is the slope so you need to create an equation that follows y=mx+b, then you can use a graphing calculator like desmos, to graph the equation.
the equations would be y=11x+17 and 8x+23, x represents hours.
Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2
Answer:
Y=(1/2)x + 3
Step-by-step explanation:
The equation of the line is y = (1/2)x + 3.
We have,
The equation of a line is written as:
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
From the line,
We have the following coordinates:
(2, 4) and (4, 5)
Now,
Slope.
m = (5 - 4) / (4 - 2) = 1/2
And,
(2, 4) = (x, y)
Substituting.
y = mx + c
4 = (1/2) x 2 + c
4 = 1 + c
c = 4 - 1
c = 3
Now,
y = (1/2)x + 3
Thus,
The equation of the line is y = (1/2)x + 3.
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Which of the following is a result of flipping the graph of a function and blow over the line y=x
SOLUTION:
Step 1 :
In this question, we are meant to find the result of flipping the graph of the function shown below over the line:
\(y\text{ = x }\)Step 2 :
From the options, we can see clearly that option A is correct.
what is the slope of the line?
Find the slope: numbers are: (1,-3) and (-5,-4)
\(\frac{-3 - (-4)}{1 - (-5)}\)
= \(\frac{-3 + 4}{1 + 5}\)
= 1/6
Answer: the slope is 1/6the sum of three nonnegative numbers is 36, and one of the numbers is twice one of the other numbers. what is the maximum value of the product of these three num- bers?
324 is the maximum value of the product of these three numbers
What is maxima and minima?
The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, and minima will be its lowest.
The extrema of a function are the maxima and minima. The maximum and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, over its full range.
Let the three nonnegative numbers are x,y,z
According to the question
x+y+z=36
and y=2x
therefore, 3x+z=36--------------------------------------------------(1)
z=36-3x
Let 3xz= u--------------------------------------------------------------(2)
differentiating equation 2
du/dx=3z + 3xdz/dx
or
du/dx= z + xdz/dx
differentiating equation 1
3 + dz/dx = 0
dz/dx = -3
du/dz = 36-3x + x(-3)
du/dx = 12 - 2x--------------------------------------------------------------(3)
for maxima put du/dx = 0
x=6-------------------------------------------------------------------------------(4)
again differentiating du/dx = 12 - 2x
d2u/dx2=-2
which means 3xz= u is maximum at x=6
from equation 1 and 4
we get 18+z=36
z=18
Therefore 3xz= 3(6)(18)=324
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I HAVE TO PRACTICE FOR MY MID YEAR EXAM. Find the value of h such that the line 27hx -9y = -18 would be parallel to the line y = 1 - 6x.
The value of {h} for which both lines are to be parallel is -2.
What is the general equation of a straight line?The general equation of a straight line is -
Ax + By + C = 0
Given is that the straight line {27hx - 9y = - 18} is parallel to the line
{y = 1 - 6x}.
The given equations are -
27hx - 9y = - 18
9y = 27hx + 18
y = 3hx + 2 ... { 1 }
and
y = 1 - 6x
y = - 6x + 1 ... { 2 }
For both the lines to be parallel, their slopes have to be equal. So, we can write -
3h = -6
h = -2
Therefore, the value of {h} for which both lines are to be parallel is -2.
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how do you solve 4a + 3 = 11
Answer:
2
Step-by-step explanation:
subtract 3 from the 3 and 3 from 11 which would give you 8 then you would divide the 4 from 4a which would leave you with just a and then divided 4 by 8which would give you 2 so its a=2
Determine whether the following function is a valid probability density function (pdf) of a continuous random variable X.
Given function, f(x) = 1/((x+1)^2)When x = -1, the function is undefined as we cannot divide any number by zero. Thus, the function is not defined at x = -1. Therefore, the function does not satisfy the first property of a valid pdf as the function is not non-negative for all values of X.
Probability density function (PDF) is used to define the probability distribution of a continuous random variable. A valid PDF must satisfy two properties. First, the function should be non-negative for all values of X. Second, the area under the curve of the function should be equal to one for all values of X. If a function satisfies both of these properties, then it is called a valid probability density function (pdf).The given function is f(x) = 1/((x+1)^2). We need to check whether this function is a valid pdf or not.
When we substitute x = -1 in the function, the function becomes undefined. This means that the function is not defined at x = -1. Therefore, the function does not satisfy the first property of a valid pdf as the function is not non-negative for all values of X. Thus, the given function is not a valid probability density function as it violates one of the two properties required for a function to be a valid pdf.
In conclusion, we can say that the given function is not a valid probability density function as it does not satisfy one of the two properties required for a function to be a valid pdf. The function violates the first property of a valid pdf as the function is not non-negative for all values of X.
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12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?
Answer:
$4.5
Step-by-step explanation:
I'm gonna do my work on paper.
11. One-third of the result of three times a number that is increased by 12
Answer:
n * 3 +12 / 3
Step-by-step explanation:
One third of the result of a number * 3 is once the number is multiplied by 3, the number is then added to 12, because the result is divided by 3, meaning you must multiply by 3 first, then add 12, and then divide by 3.
Equation formed will be:
1/3 (3x + 12)
THANK YOU!!
∝ Sidhdi
simplify 5 to the power of three over 5 to the power of seven
Answer:
1/625, or 0.0016 is the answer.
Suki rode her bike 6/7 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using benchmark 1/2. Select the correct answer to describe how to solve the problem.
Answer:
6/7 > 1/2
1/3 < 1/2
Suki rode her bike a longer distance than Clarie
Step-by-step explanation:
Suki's distance = 6/7 miles
Compare with bechmark 1/2
6/7 and 1/2
Make the denominators same
(6*2)/(7*2) and (1*7)/(2*7)
12/14 and 7/14
12/14 is greater than 7/14
12/14 > 7/14
Therefore, 6/7 > 1/2
Clarie distance = 1/3 miles
Compare with bechmark 1/2
1/3 and 1/2
Make the denominators same
(1*2)/(3*2) and (1*3)/(2*3)
2/6 and 3/6
2/6 is less than 3/6
2/6 < 3/6
Therefore,
1/3 < 1/2
Compare Suki's distance with Clarie
compare 6/7 and 1/3
Make the denominators same
(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)
18/21 and 7/21
18/21 > 7/21
Suki rode her bike a longer distance than Clarie
48 - 5 + 7 · 3² ÷ (7-10)²
Answer:
the answer is 50
Answer:
50
Step-by-step explanation:
BODMAS/BIDMAS
48 - 5 + 7 x \(3^{2}\) ÷ (7-10)²
= 48 - 5 + 7 x \(3^{2}\) ÷ (-3)²
= 48 - 5 + 7 x \(3^{2}\) ÷ 9
= 48 - 5 + 7 x 9 ÷ 9
= 48 - 5 + 63 ÷ 9
= 48 - 5 + 7
= 43 + 7
= 50
let d be the difference in the number of puzzles solved by two randomly selected subjects in a five-minute period. what's the standard deviation
The standard deviation of d is 1.27, which is the measure of the variability of a set of data. It tells us how much variation or dispersion exists from the average or mean value.
In other words, it reveals the degree to which the data points deviate from the mean. In this instance, the standard deviation of 1.27 means that, on average, the number of puzzles solved in a 5-minute period by two randomly selected participants differs by 1.27 puzzles. Accordingly, the majority of individuals ought to deviate by an amount that is within 1.27 puzzles of the mean.
Additionally, this implies that some subjects will have differences larger than 1.27 and some lower. We may quantify the level of variability in a data set using the standard deviation, which is a useful measure of variability.
Your question is incomplete but most probably your full question was A psychologist studied the number of puzzles that subjects were able to solve in a 5-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by randomly chosen subject. The psychologist found that X had the following probability distribution_ Value Probability 0.2 0.4 0.3 0.1 Let D be the difference in the number of puzzles solved by two randomly selected subjects in a 5-minute period. What is the standard deviation of D? 0.81 1.8 1.27
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Lena has a pitcher filled with 3 1/2 quarts of grape juice she pours 1/4 of grape juice into a glass how many quarts of grape juice does Lena pour in the glass
A. 3/8
b. 7/8
C. 1 1/4
d. 3 1/8
Answer:
b) 7/8
Step-by-step explanation:
since 3 1/2 quarts is 3.5 we can do 3.5/4 for the answer which equals to 7/8
1.25 A woman walks briskly at 2.0 m/s how much wile will it take her to walk one mile?
A 8.3 min
B 13.4 min
C 21.7 min
D 30.0 Min
One mile will take her 13.4 minutes to walk. the correct answer is an option (B).
We can start by converting the units of speed to miles per hour (mph) and the distance to miles to make the calculations easier.
2.0 m/s = 2.0 x 3600/1609.34 = 4.47 mph
1 mile = 1 x 1609.34 = 1609.34 m
Time taken to walk one mile = distance ÷ speed = 1609.34 m ÷ 2.0 m/s = 804.67 seconds
Converting seconds to minutes, we get:
804.67 seconds ÷ 60 seconds/minute = 13.41 minutes
Therefore, one mile will take her 13.4 minutes to walk.
Hence, the answer is an option (B) 13.4 minutes.
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Construct a matrix B which represents a projection onto the plane x+2y+z=0.
To construct a matrix B that represents a projection onto the plane x + 2y + z = 0, we can utilize the formula \(B = A(A^TA)^-1A^T\), where A is a matrix representing the normal vector to the plane.
To construct the matrix B that represents a projection onto the plane x + 2y + z = 0, we first need to determine the normal vector to the plane. The coefficients of x, y, and z in the equation of the plane, i.e., 1, 2, and 1, respectively, form the components of the normal vector.
Let A = [1, 2, 1] be the column vector representing the normal vector to the plane. We can then calculate B using the formula \(B = A(A^TA)^-1A^T\), where A^T is the transpose of A and \((A^TA)^-1\) is the inverse of the product of A^T and A.
Substituting the values, we have \(B = [1, 2, 1]([1, 2, 1]^T[1, 2, 1])^-1[1, 2, 1]^T.\).
To compute B, we first calculate the matrix A^TA, which is a 1x1 matrix in this case. Taking the inverse of this 1x1 matrix, we obtain the reciprocal of its element.
Finally, multiplying the resulting scalar value by the matrix A^T yields matrix B, which represents the projection onto the plane x + 2y + z = 0.
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I'm new to algebra and I'm having trouble solving this equation can someone answer with steps
Answer:
\(u(u + 1)\)
Step-by-step explanation:
first and foremost you have positive and minus 1 which will cancel out to zero
then we're left with
\( {u}^{2} + u \\ factorize \: \: u \: out \: to \: get \\ u(u + 1)\)
please help!!! worth 15 pts
Answer:
clue 1 with graph 3, Clue 2 with graph 4, clue three with graph 1, and clue 4 with graph 2
Step-by-step explanation:
Hope this helps :)
plz helppppppppppppppppppppppp
Answer:
x = -12
Step-by-step explanation:
1. Distribute : 45 - 5x = 105
2. Subtract : -5x = 60
3. Divide : x = -12
Answer:
\(x = - 12\)
Step-by-step explanation:
\( - 5( - 9 + x) = 105 \\ 45 - 5x = 105 \\ - 5x = 105 - 45 \\ - 5x = 60 \\ \frac{ - 5x}{ - 5} = \frac{60}{ - 5} \\ x = -12\)
A rectangular sign has a height of 7 feet and a width of 24 feet. What is the length, in feet, of its diagonal!
O 15 1/2feet
O 17 feet
O 25 feet
O 31 feet
Answer:
answer 24×7
Step-by-step explanation:
answer ia an 409
The dimension of a rectangle are given in base 2.The width is 10 base 2 cm and the length 11 base 2 cm.Find the perimeter
Answer:
2l+2w
2 (11) +2 (10)
22+20
42
A political consultant wants to sample residents of a county to estimate what proportion of all the county's residents support a certain candidate.
They will use the sample data to construct a one-sample z interval for the proportion, and they are considering two sample sizes: a large sample of
n = 900 for more accurate results. or a small sample of n = 100 to save
time and money.
Assuming the sample proportion is the same in each sample, what is true about the margins of error from these two samples?
The margin of error from the smaller sample will be about select ratio
v
the margin of error from the larger sample.
The margin of error from the smaller sample will be about 3 times the margin of error from the larger sample.
How to find margin of error?The margin of error in a one-sample z interval for a proportion depends on three factors: the sample size (n), the sample proportion, and the level of confidence \((z\alpha/2)\). The formula for the margin of error is:
Assuming the sample proportion is the same in each sample, the only difference between the margins of error will be due to the difference in sample sizes.
The margin of error is inversely proportional to the square root of the sample size, meaning that as the sample size increases, the margin of error decreases. Therefore, if the larger sample size is n = 900 and the smaller sample size is n = 100, the margin of error from the smaller sample will be about √9 times larger than the margin of error from the larger sample, or approximately 3 times larger. In other words, the margin of error from the smaller sample will be about 3 times the margin of error from the larger sample.
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Find the area of the square whose side is 14cm?GUYS??
Answer:
196 cm
Step-by-step explanation:
Area= L×W
Area = 14×14 = 196 cm
Answer and Step-by-step explanation:
To find the area, simply times the 2 sides together.
14 times 14 is 196.
The area of a square with sides 14cm is 196cm.
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Colin's puppy, Squeeker, weighed 1.5 pounds at his first vet visit. When Squeeker was a year old, he weighed 7.5 pounds. What percent did Squeeker's weight increase between the two visits? *
Squeeker initial weight is 1.5
After a year, Squeeker new weight is 7.5
\(\begin{gathered} \text{percentage increase =}\frac{change\text{ in weight }}{\text{ intial weight}}\text{ }\times\text{ 100 \%} \\ \text{ change in weight= new weight - initial weight = 7.5 - 1.5 =6.0} \end{gathered}\)\(\begin{gathered} \text{percentage increase = }\frac{6.0}{1.5}\text{ }\times\text{ 100 \%} \\ =\text{ 4}\times\text{ 100\% = 400\%} \end{gathered}\)