Answer:
52
Step-by-step explanation:
angles in a triangle add up to 180 so just subtract the angles to find the answer
Answer:
angle ABE = 52 degrees
Step-by-step explanation:
a company had to extend a project from 276 days to 483 days. what was the precentage increase in time to complete the project?
Answer: 75% increase
Step-by-step explanation:
First, you subtract the two numbers to find out how much increased.
483-276= 207
Divide by original number
207/276= \(\frac{3}4}\)
Multiply by 100
\(\frac{3}{4}*100=\) 75% increase
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
Answer:
Infinite solutions
Step-by-step explanation:
G
A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches
What are the dimensions of the original picture?
x
O 3 inches by 5 inches
O 3 inches by 15 inches
O 6 inches by 12 inches
O 27 inches by 45 inches
Answer:
3 inches by 5 inches
Step-by-step explanation:
You have to divide the numbers 9 and 15 by 3
9÷3=3
15÷3=5
So that means it is 3 inches by 5 inches
Answer:
3 inches by 5 inches
Step-by-step explanation:
You have to divide the numbers 9 and 15 by 3
9÷3=3
15÷3=5
So that means it is 3 inches by 5 inches
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
\(X \sim N ( \mu = 20.66, \sigma = 2)\)
\(P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)\)
\(P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)\)
\(P(X< 26) = P \bigg ( Z < 2.67\bigg)\)
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
\(z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\)
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
\(z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67\)
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
Toda expresión de la forma xn + yn tiene un factor con los signos alter nados, uno positivo y uno negativo.
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Step-by-step explanation:
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What is the surface area of the rectangular prism below?
Answer:
D. 490
Step-by-step explanation:
If you multiply all you get 490 D
An athletic coach conducted an experiment to test whether a four-week stretching and flexibility program reduces the number of muscular injuries that occur during athletic events. the coach randomly selected 30 athletes from several sports and randomly assigned 15 athletes to the four-week program. the remaining 15 athletes did not participate in any type of flexibility program during the four weeks. which statements about this study are true?
Answer:
The remaining 15 athletes did not participate in any type of flexibility program
what is 24 divided by 8/15
Answer:
45
Step-by-step explanation:
put 24 over 1 to make it a fraction.
So now its:
24/1 divided by 8/15
Now cross multiply
So now its:
24*15/1*8
(24 times 15)
Over
(1 times 8)
=360/8
=45
24 divided by 8/15 is equal to 45.
To divide 24 by 8/15, we can simplify the problem by multiplying 24 by the reciprocal of 8/15, which is 15/8. Multiplying fractions involves multiplying the numerators and denominators.
So, 24 divided by 8/15 can be rewritten as 24 multiplied by 15/8:
24 * (15/8)
When we multiply the numerators (24 * 15) and the denominators (1 * 8), we get:
360/8
Simplifying the fraction by dividing both the numerator and denominator by their greatest common factor, which is 8:
45/1
Therefore, 24 divided by 8/15 is equal to 45.
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4 + 7 + 9 + 5 - 44? pls HELPPPPP!!!!!!!!!!!!!!!
Answer:
-19.
Step-by-step explanation:
4 + 7 + 9 + 5 - 44
Doing the adds first;
= 25 - 44
= -19.
a linear function has an x-intercept of −8 − 8 and a y-intercept of 4 4 . which of these is an equation of the linear function?
So, y = (1/2)(x + 8) is the equation of the linear function.
To write the equation of a linear function with a given x-intercept and y-intercept, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
In this case, we are given that the x-intercept is (-8, 0) and the y-intercept is (0, 4). We can use the coordinates of the x-intercept as (x1, y1) and the slope of the line as m to write the equation:
y - 0 = m(x - (-8))
y = m(x + 8)
We can then substitute the y-intercept into this equation to find the value of m:
4 = m(0 + 8)
4 = 8m
m = 1/2
Substituting the value of m back into the equation, we get:
y = (1/2)(x + 8)
This is the equation of the linear function.
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y - y1 = m(x - x1)
y - 0 = m(x - (-8))
y = m(x + 8)
We can then substitute the y-intercept into this equation to find the value of m:
4 = m(0 + 8)
4 = 8m
m = 1/2
Substituting the value of m back into the equation, we get:
y = (1/2)(x + 8)
does anyone know how to do this? find the X,Z,Y
The graph shown is a translation of the graph of f(x)=x^2. Write the function in vertex form.
\( \sf \longrightarrow \: f(x) = {x}^{2} \)
Write the parent function in the standard form I.e.
\( \boxed{ \tt \:y =a(x - h) \times 2 + k }\)
Where,
a = 1h = 0k = 0\( \sf \longrightarrow \:y= 1(x - 0)^{2} \times 2 + 0\)
\( \sf \longrightarrow \: y = (x - 0) ^{2} \times 2 + 0\)
\( \sf \longrightarrow \: y = {x}^{2} \times 2\)
\( \sf \longrightarrow \: y = 2{x}^{2} \)
PLEASE HELP HURRY!!!!!!!!!
What is the length of PC¯¯¯¯¯?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.
____ cm
Description of drawing:
Circle A with a tangent and a secant. Point B at 11 o clock, point C at 12 o clock, and point D at 7 o clock are on the circle. Point P is at 11 o clock outside of the circle. Tangent P C and secant B D intersect at point P. Segment P B is labeled as 4 centimeters. Segment B D is labeled as 52 centimeters.
Answer:
PC = 14.42 cm
Step-by-step explanation:
If a tangent and secant are drawn from a point outside a circle, then the product of the lengths of the segments of the secant is equal to the square of the length of the tangent.
PC² = PB × BD
PC² = 4 × 52
PC² = 208
PC = \(\sqrt{208}\)
PC = 14.42 cm
The length of PC=14.42 cm.
when a tangent and secant are drawn from a point outside a circle, then the multiplication of the lengths of the segments of the secant is equal to the square of the length of the tangent.
What is the relation between the tangent and secant line?
PC² = PB × BD
Use the given value in above formula we get,
PC² = 4 × 52
PC² = 208
\(PC = \sqrt{208}\)
Therefore we get the value of PC is,PC = 14.42 cm.
Therefor the length of PC=14.42 cm.
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Mrs. Haley mowed 1/4 of her lawn. Her son mowed 3/7 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
Mrs. Haley's son mowed the most part lawn more than his mother.
\($\frac{9}{28}$\) part of the lawn still needs to be mowed.
As per the given data, Mrs. Haley mowed \(\frac{1}{4}\) part of her lawn.
Also her son mowed \(\frac{3}{7}\) part of lawn
First, make equal the denominator.
The lawn was mowed by Mrs. Haley:
\(& =\frac{1}{4}=\frac{1\times 7}{4 \times 7}=\frac{7}{28} \\\)
The lawn mowed by Mrs. Haley's son:
\(&=\frac{3}{7}=\frac{3\times 4}{7 \times 4}=\frac{12}{28}\)
Mrs. Haley's son mowed the most, \($\frac{12}{28}$\).
Now we have to determine how much of the lawn still needs to be mowed.
Let the remaining part that is to be mowed be 'x'.
And let the whole part be '1'.
Subtract the part that was mowed by Mrs. Haley and her son from the whole part in order to find the remaining part to be mowed.
\(x=1-(\frac{7}{28}+\frac{12}{28})\)
\(x=1-\frac{19}{28}\)
\(x=\frac{28-19}{28}\)
\(x=\frac{9}{28}\)
Therefore the lawn still needs to be mowed is \($\frac{9}{28}$\) .
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Bill claims that he found the actual December temperature by adding either –5 + 3 or 3 + –5. What property did Bill use?
Answer:
b
Step-by-step explanation:
got it right on edge 2021
15. Represent and Connect
The manager of the local
community pool is adding
a tile border around the
rectangular pool. Let x
represent the width
of the pool, in feet. The
length is 3 1more than
2 times the width, as
shown. Write two
expressions that represent
the perimeter of the pool.
The expressions that represent the perimeter of the pool are given as follows:
P = 6 + 6w.P = 3l - 3.How to obtain the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is calculated as follows:
P = 2(l + w).
The length is 3 more than 2 times the width, hence the expression is given as follows:
l = 3 + 2w.
Thus the expression for the perimeter is given as follows:
P = 2(3 + 2w + 2)
P = 6 + 6w.
The perimeter can also be written as a function of the length, as follows:
l = 3 + 2w.
2w = l - 3
w = 0.5l - 1.5.
Then the perimeter is given as follows:
P = 2(l + w)
p = 2(l + 0.5l - 1.5).
P = 3l - 3.
The problem asks for two expressions, hence we wrote one expression for the perimeter as a function of the width and another as a function of the length.
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if i have one
mom then she dies how many moms do i have
Answer:
Step-by-step explanation:
1-1=0
Answer:You will have 0 moms.
Step-by-step explanation:
First you take 1 away from 1.
After that you get your answer of 0.
a building casts a 103-foot shadow at the same time that a 32-foot flagpole casts as 34.5-foot shadow. how tall is the building in feet?
The height of the the building is 95.5 feet.
As per the given data:
A building casts a 103-foot shadow.
At the same time, a 32-foot flagpole casts a 34.5-foot shadow.
Diagrams of both the building and flagpole are attached at the end of the solution.
Here we have to determine the height of the building.
From the above figure, in Δ ABC, AB shows the height of the building and BC shows its shadow length. In ΔDEF, DE shows the height of the flagpole and EF shows its shadow length.
In ΔABC
\($ \tan \theta=\frac{A B}{B C} \\\)
\($& \tan \theta=\frac{A B}{103}\)
In ΔDEF
\($& \tan \theta=\frac{D E}{E F} \\\)
\($\tan \theta=\frac{32}{34.5}\)
At the same time, the angle of elevation of the sun is the same at all the places.
Therefore
\($& \tan \theta=\tan \theta \\\)
\($& \frac{A B}{103}=\frac{32}{34.5} \\\)
\($& AB = \frac{32 \times 103}{34.5} \\\)
A B = 95.5 foot
Therefore, the height of the building will be 95.5 feet.
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- Please help this is a Rational Inequality problem
1. A ball is thrown straight up from the top of a tower that is 280 ft high with an initial velocity of 48 ft/s. The height of the object can be modeled by the equation s(t) = -16t^2 + 48t + 280. (solve step by step pls)
2. In a complete sentence explain how to determine the time(s) the ball is lower than the building in interval notation.
1. The solution for the equation is -16t² + 48t < 0
2. The interval notation for the equation is (0, 3)
Given,
The height of the building = 280 feet
A ball is thrown straight up from the top of the building.
The initial velocity of the ball = 48 feet/second
The height of the object is modeled by, s(t) = -16t² + 48t + 280
1. Solution for the equation:
s(t) < 280
So,
-16t² + 48t + 280 < 280
Add -280 to both sides
ie, -16t² + 48t + 280 - 280 < 280 - 280
We get,
-16t² + 48t < 0
2. Now find the interval notation for the equation:
-16t² + 48t < 0
Here, 48/16 = 3
So,
-16t (t - 3) < 0
Now,
t = 0 and t - 3 = 0
The interval notation for the equation is (0, 3)
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commutative property under integers with an example
Step-by-step explanation:
You can remember the commutative property by thinking of the numbers "commuting," or changing places. The example shows us that "negative two plus positive four" is the same as "positive four plus negative two.
Which point could represent 5 3 ?
Answer:
the answer is c
Step-by-step explanation:
i just finished the lesson
Answer:
c
Step-by-step explanation:
What is the Hypotenuse of 12mi and 16mi
The perimeter of rectangular pond is 120 m and length is 10 m longer than its width. Find length and breadth of the pond
Answer:
The width (breath) is 25 m and the length is 35 m.
Step-by-step explanation:
can you please answer this quick!
Answer:
a. 3*3-5
=6-5
=1
b. 3*(-2)-5
=-6-5
=-11
c. f(x)=1
or,1=3x-5
or,1+6=x
x=7
Amy takes 17/5
minutes to drive from her home to the local shopping centre. She spends 1/8
of this time waiting at traffic lights.
Answer:
Make 7/5 and 1/8 have a common denominator, which is 40.
7/5 x 8/8 = 56/40(minutes driving to her home)
1/8 x 5/5 = 5/40 she spends
Find U infinity i = 1 Ai and infinity i = 1 Ai if for every positive integer i, Ai = {i, i + 1, i + 2 ,...}. Ai = {0, i}. Ai = (0, i), that is, the set of real numbers x with 0 < x < i. Ai = (i, infinity), that is, the set of real numbers x with x > i.
We can use the formula for the sum of an arithmetic series to find the value of U infinity i = 1 Ai for each given set Ai:
(a) Ai = {i, i + 1, i + 2,...}
The sum of this arithmetic series is:
U infinity i = i + (i + 1) + (i + 2) + ...
= i + (i + 1) + (i + 2) + ... + (i + n) - (1 + 2 + 3 + ... + n)
where n is any positive integer.
The sum of the first n positive integers is given by the formula:
1 + 2 + 3 + ... + n = n(n+1)/2
Substituting this into the expression for U infinity i, we get:
U infinity i = i + (i + 1) + (i + 2) + ... + (i + n) - n(n+1)/2
Simplifying, we get:
U infinity i = (n+1)i + n(n+1)/2 - n(n+1)/2
= (n+1)i
Taking the limit as n approaches infinity, we get:
U infinity i = lim (n approaches infinity) (n+1)i = infinity
Therefore, U infinity i = 1 Ai for the set Ai = {i, i + 1, i + 2,...} is infinity.
(b) Ai = {0, i}
The sum of this arithmetic series is:
U infinity i = 0 + 1 + 2 + ... + i-1 + i
Using the formula for the sum of an arithmetic series, we get:
U infinity i = [i(i+1)]/2
Taking the limit as i approaches infinity, we get:
U infinity i = lim (i approaches infinity) [i(i+1)]/2 = infinity
Therefore, U infinity i = 1 Ai for the set Ai = {0, i} is infinity.
(c) Ai = (0, i)
The sum of this set is:
U infinity i = integral from 0 to i dx
Evaluating the integral, we get:
U infinity i = [x] from 0 to i = i
Therefore, U infinity i = 1 Ai for the set Ai = (0, i) is i.
(d) Ai = (i, infinity)
The sum of this set is:
U infinity i = integral from i to infinity dx
Taking the limit as the upper limit of integration approaches infinity, we get:
U infinity i = lim (b approaches infinity) integral from i to b dx
= lim (b approaches infinity) (b - i)
= infinity
Therefore, U infinity i = 1 Ai for the set Ai = (i, infinity) is infinity.
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How can you use your knowledge of evaluating expressions involving square roots to
identify and correct an error in calculating the period of a pendulum?
the period of a pendulum is the time in seconds) it takes the pendulum to swing back
and forth. the period t is represented by t = 1.1vi, where l is the length of the
pendulum (in feet).
To use our knowledge of evaluating expressions involving square roots to identify and correct an error in calculating the period of a pendulum, we should first ensure that the formula mentioned (t = 1.1vi) is accurate.
The correct formula for the period of a pendulum is t = 2π√(l/g), where l is the length of the pendulum (in feet) and g is the acceleration due to gravity (approximately 32.2 ft/s²).
When evaluating the period t, make sure to use the correct formula and follow these steps:
1. Substitute the given length of the pendulum (l) into the formula.
2. Divide the length by the acceleration due to gravity (g).
3. Calculate the square root of the result.
4. Multiply the square root by 2π.
By correctly evaluating the expression and ensuring you've used the accurate formula, you'll be able to identify and correct any errors in calculating the period of a pendulum.
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Solve for x. Round to the nearest tenth of a degree, if necessary
Step-by-step explanation:
here's the answer to your question
Urgent please help!!
Answer:
i think it would be B because if AC= 80 and thats like the distane between then abc would be 80 if im thinking right
Step-by-step explanation:
but hey if im wrong ill have my friend punch me in the arm to make it even
Yo what is 2+2? ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀
Answer:
4
Step-by-step explanation:
Answer:2+2 = 4.............